section 1: program mission, objectives and outcomes maths phd-2015.pdf · hec guidelines and the...
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Executive Summary
Department of Mathematics at NUST School of Natural Sciences offers PhD in Mathematics
degree program. The program started in 2004 and has matured over a span of five years
The program requires 18 credit hours of course works, qualifying exam, three seminars, and a
thesis of 36 credit hours for the award of degree. The minimum duration of the completion of
PhD degree is three years. It is nearly impossible to fulfill all the requirements in three years.
After three years, students are liable to pay off campus fee and they may also ask to leave
hostel. Therefore, it is suggested that duration be increased.
The course work of the program has been designed keeping in view the international standards,
HEC guidelines and the national requirements.
The main theme of the program is to train students in various fields of Mathematics for their
better understanding of Mathematics which leads to lifelong successful careers.
The graduates of SNS are serving NUST and other institutes of Pakistan soon after getting their
degrees. Also willing graduates easily get post doctoral fellowships abroad in the universities of
high repute. This indicates that our institution meets the international standards.
A good student-teacher ratio is an essential requirement to maintain quality of education. With
the increasing number of students, the department needs to hire more faculty members. The
department needs to increase manpower to work more effectively.
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National University of Sciences and Technology
School of Natural Sciences (SNS)
Department of Mathematics
Self Assessment Report-2016
(Fall 2004- Spring 2015)
Program: PhD in Mathematics
Submitted to
Quality Enhancement Cell
National University of Sciences and Technology
School of Natural Science
Program Team
1. Tooba Siddiqui Chairperson
2. Mubasher Jamil Member
3. Meraj Mustafa Hashmi Member
3
TABLE OF CONTENTS
Sr. No. Title Page No
Introduction
Criterion 1: Program Mission, Objectives & Outcome
History and setup 7
Mission of National University of Sciences & Technology (NUST)
8
Mission of School of Natural Sciences (SNS) 8
Mission of Department of Mathematics 8
Mission of PhD Program 8
Program Educational Objectives 8
Strategic Plan 10
Program Objectives Assessment 14
Program Learning Outcomes 15
Program Objectives versus Program Outcomes 15
(A) Alumni Survey 16
(B) Graduating Students Exit Survey 26
(C) Employer’s Survey 34
Program Outcomes Measurement 36
Overall performance 37
Faculty Survey 44
Criterion 2: Curriculum Design & Organization
Degree Title 53
Definition of Credit Hour 53
Degree Plan 53
Assessment of MS Mathematics Program Curriculum 53
Theory, Problem Analysis & Solution Design 54
Requirements for the Program Curriculum 54
Comparison of SNS Program with HEC requirements 54
4
Information technology component 55
Course Outlines 56
Communication Skills 56
Criterion 3: Laboratories & Computing Facilities
Introduction 56
Safety Procedures for all Labs 57
Adequate Computing Infrastructure and Facilities 59
Criterion 4: Student Support & Guidance
Completion of Program 59
Interaction between Students, Faculty and Teaching Assistants
59
Guidance and Qualified Advising 60
Structure of Courses 60
Guidance to Students 63
Students Counseling & Advisory System 63
Criterion 5: Process Control
MS Program at Department of Mathematics, School of Natural Sciences, NUST
64
Eligibility Criteria 64
Entrance Examination 64
Selection Procedure 64
Waiting List 64
Rejection of application 64
Migration 64
International Students 64
Admission 64
Entrance Test 64
Merit List 65
Clearance 65
Accommodation 65
5
Standards 65
Admission Process 65
Program Registration and Monitoring 65
Registration and Monitoring of Students 65
Recruiting and Training Highly Qualified Faculty 65
Class Audit Report 66
Criterion6: Faculty
Adequate Coverage of Program Areas 69
Full Time Faculty 70
Time for Scholarly Activities 71
Motivation and Job Satisfaction 71
Criterion 7: Institutional Facilities
New Trends in Learning 71
Library Facilities 72
Classrooms and Faculty Offices 73
Hostel Facilities 72
Convocation Hall/Auditorium 73
Sports Facilities 73
Transport Facilities 73
Medical Facilities 73
Criterion 8: Institutional Support
Faculty Retaining Measures 74
Research Support 74
Support and Facilities for the Faculty 74
Graduate Students, Assistance and PhD Students 74
Financial Resources for Library 75
Criterion 9: Research, Development and Innovation
Research Support and Collaborations 75
Research Projects 78
6
Annexure-A: Findings of the Assessment Team
Annexure-B: Implementation Plan
Annexure-C: Rubric Evaluation
Annexure-D: List of Activities attended by SNS Researchers
7
History and Setup:
SNS (School of Natural Sciences) former CAMP (Centre for Advanced Mathematics and
Physics) was established in May 2004, in the campus of EME College Rawalpindi. It was shifted
to academic Block-I, H-12 Campus in June 2010 and then shifted to the present building in
September 2013. CAMP was renamed to SNS in December 2013.
The first Director General of the institute was Prof. Asghar Qadir who joined EME College after
the approval of Post-graduate program in Mathematics, of the college. The Post-graduate
program in Mathematics of the EME College was prepared under the headship of Brgd. M.
Rafique, HoD Basic Sciences and Humanities at that time. Then, for the benefit of community of
Mathematics and Physics, it was decided to establish a new research centre with the name
Centre for Advanced Mathematics and Physics. The first faculty of SNS was a Russian
Professor who joined SNS under the HEC foreign faculty hiring program. Under this program
some other Russian professors also served SNS. In May 2011, after the retirement of Prof.
Asghar Qadir, Prof. Azad A. Siddiqui joined SNS as Director General (Principal).
In the beginning, SNS started a four year MPhil leading to PhD program in Mathematics only. In
the program, students were required to complete a course work of 48 hours which consists of
four core courses as well. They were also required to qualify their comprehensive exam to enter
in the research phase. In the research phase, they submit their thesis for 36 credits on the
bases of their research. After four years, in 2008, MPhil leading to PhD program in Physics,
having the same structure, was started. Since 2010, BS Undergraduate program in
Mathematics is also on track. From September 2014, two programs BS Undergraduate program
in Physics and MS Chemistry have been started. Hopefully, BS Undergraduate program in
Chemistry will also be started very soon.
Since 2011, a split MPhil program (now MS program) has been launched. After the completion
of MS students may get register themselves in PhD program. A direct PhD program was also
started in fall 2011. Students of other universities may join SNS through direct PhD program.
The PhD program requires 18 credit hours of course work and a thesis for 36 credits. The
minimum duration of the completion of the degree is three years. Up till now more than 15
students have been graduated under this program. Hopefully, the number will increase in
coming years.
Being a research institute, soon after the establishment, SNS is organizing
Workshops/Conferences of national and international level. The first such activity was held after
five months of its establishment i.e. in October 2004. SNS has organized five national and six
international Workshops/Conferences. Apart from this national and international activities, SNS
also runs weekly seminar series during both fall and spring semesters. In the weekly seminar
series, SNS invites faculty from leading universities of Pakistan. SNS has established firm and
productive collaborations right from its very beginning. Several faculty members and students
have benefited with such collaborations.
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Criterion 1: Program Mission, Objectives and Outcomes
Standard 1-1: The program must have documented measurable objectives that support
college and institution mission statements.
Mission of NUST:
The mission of NUST is to develop as a comprehensive, research-led university with a focus on
Technology, Innovation and Entrepreneurship.
Mission of School of Natural Sciences:
The mission of SNS is to promote sciences, develop a culture of research and produce quality
human resource in sciences.
Mission of Department of Mathematics:
Our mission is to promote a culture of research and produce quality human resource in
Mathematics.
Mission of PhD Program in Mathematics:
The mission of PhD program in Mathematics is to produce ethically and professionally sound
good researchers who can perform their duties in a good manner.
Program Educational Objectives The broad objectives of the PhD program in Mathematics are to teach students basic concepts of Mathematics, empower them with computational skills to solve Mathematical problems using computers and to provide appropriate mathematical background to their needs. In addition to this, the program is structured in such a manner that the students can learn some advanced concepts through their course and research work. Objective #1 – Core Concepts To impart education to students in a manner that infuses core and advanced
mathematical concept
Objective #2 –Skills & Tools
To teach students computational skills, Department of Mathematics shall be able to:
a) Analyze and model real world problems based on mathematical and engineering principles and solve such problems by utilizing their skills.
b) Be able to use theoretical knowledge to implement practical solutions c) Be able to think and work independently when involved in problem solving d) Continue in pursuit of higher learning and enlightenment throughout their life e) Exhibit superior communication and presentation skills in report writing and
presentations.
9
Objective #3 – Professional Practice & Ethics To provide students with a professional learning experience that instills a sense of
professional ethics in their personal discipline. The graduates from the Department of
Mathematics must not only be mathematically competent but also ethically and professionally
capable of creating job market in Pakistan.
Objective #4 – Research Culture
To inculcate a culture of research in students and to inspire them towards a career of
innovation.
The first objective is geared towards providing quality education to students with strong basic
concepts. The second objective is aimed at producing quality graduates with necessary training
in essential tools and technologies and equipped them with skills required by the industry and
essential to succeed in professional life. The third objective is aligned with the department’s
vision of producing graduates with a sense of professional responsibility and carrying out such
responsibility in line with utmost standards of professional ethics. The fourth objective focuses
on training students in research methodologies and inspiring them to innovate.
Objective # 5 - Real world applications
An explicit goal of the program is to connect the core knowledge with the real world
applications. The fundamental learning tools have applications in fluid dynamics, electrical and
mechanical engineering, quantum mechanics, material science and many other areas. This not
only fosters multidisciplinary research and education but also allows students to pursue their
careers in engineering, finance, information technology and mathematical biology.
Obective # 6-Technical and Communication Skills:
In our PhD program, a lot of emphasis is put on developing communication skills of the
students. In particular, the speaking and writing skills in English language are emphasized.
During the regular group meetings and two seminars, the faculty guides students about effective
communication. Moreover, students are motivated to write research papers and polish their
articles as well. In some cases, faculty asks students to submit their articles to journals as well
and communicate with journal staff. PhD students are also asked to teach basic courses at
undergraduate level just after qualifying their PhD comprehensive examinations which
rigorously enhances their teaching expertise.
Obective # 7-Research Based Courses:
During PhD coursework, faculty/supervisor recommends his/her students to take at least
one Reading and Research Course. The purpose is to train students to enhance their research
capabilities by doing a comprehensive literature survey and reading advanced texts. The course
is guided by numerous sessions with the supervisor, regular assignments and semester
projects. In some cases, students write research article based on the coursework and become
better prepared for future research.
10
Objective # 8-Intra-NUST Research Collaboration:
At SNS, the faculty and research students are also involved in the intra-NUST research
collaboration. In particular, the collaboration with the faculty of College E&ME, RCMS and
SEECS is actively going on via joint Group Meetings every week and research publications.
Strategic Plan The success of any department lies in the best strategy plans. This plan ensures the quality education and incorporating knowledge with the industry. Below are the detailed strategic programs for efficiently running the department The Department of Mathematics is committed to providing best quality education conducting world-class research. Below we enumerate the department goals. The various elements of each goal are detailed followed by strategies that have to be adopted. Benchmarks are also identified that define the various measures of success, which would be used over the next five years to quantify the achievements and progress. Goal # 1: Graduate Learning
In this section we present plans for quality learning based on a broad curriculum. We
ensure that the students undergo quality training and learning based on a broad curriculum.
Elements
Curriculum must be designed which meets the national needs and international
standards.
In order to achieve excellence in learning best teaching facilities must be available in the
department.
Infrastructure including laboratory, library and software etc. must be available.
Strategies
The department is thrilled to make its syllabus compatible with the recommendations of
Higher Education Commission of Pakistan (HEC).
In order to teach the different courses at PhD program we retain qualified faculty at our
department. Currently, all faculty members hold PhD degrees.
We prefer the textbooks for each course which are internationally followed and taught at
good universities.
11
Benchmarks
We review the curriculum and contents after a regular period of time through deliberation
and discussion at different forums by collecting the inputs and feedbacks from different
corners.
The enrollment of 40 students was targeted and achieved in 2013-14.
Our graduates are easily absorbed in the job market and accepted for higher studies in
reputed national and international universities.
Goal # 2: Workshops and Seminars
One of the teaching imparting sources to the students is through seminars and
workshops. We organize seminars on a weekly basis and workshops and conferences on yearly
basis.
Elements
Seminar held every week in our department.
Highly qualified speakers are invited to deliver seminars.
The attendance is mandatory for PhD students.
Apart from weekly seminar series, PhD student seminar series is also organized in each
semester, where the speakers are PhD students.
Strategies
The key speakers from different universities of Pakistan are invited for the weekly
seminar.
We try to invite experts in different research areas in these seminars.
One of the PhD requirements is that each student has to deliver three seminars. From
2014, this requirement has been modified and now it is mandatory to deliver two
seminars.
Benchmarks
Weekly seminar series is a regular academic activity since the start of the department.
In each seminar, a new speaker is invited.
Many new research areas are introduced through these seminars.
12
We ensure presence of PhD students by maintain their attendance record. Each PhD
student registers Seminar Series as 0-credit course and they clear it by attending 75%
seminars of that semester.
Goal # 3: Professional Ethics
The aim of the study is not only to impart quality education in Mathematics but also to
teach them personal and professional ethics.
Elements
The students are taught to maintain work ethics and uphold it in their lives.
Supervisors and GEC members play a vital role in developing honesty, fairness and
dedication during the course of their research work.
Strategies
School has set up advisory groups to guide students in every possible way.
We guide our research students to strictly adhere to the policy prepared by the HEC on
plagiarism.
Benchmarks
The student’s ethics are routinely observed during the course of teaching and also
observed closely in daily routine at campus.
The employers’ feedback of our graduates is obtained.
In our departments, all the MS and PhD theses are checked through the software
“Turnitin” for plagiarism before the final submission.
Goal # 4: Research and Innovation
Research is an integral part of the PhD program. Following observations are made in this
regard:
Elements
We provide a dedicated research room with necessary computing facilities and seating
arrangements for PhD research students.
We encourage and facilitate students by arranging different financial assistance.
Different research collaborations are established to promote research activities.
Many optional subjects are offered so that the students can choose research field of
their interest.
13
Strategies
It is our utmost effort to induct as many students as possible within our resources. We
remain successful in the last two years.
We are collaborating with different research groups nationally and internationally.
The aim of our department is to offer state of the art courses together with a desire to
excel in research and innovation.
Apart from the supervisors and the GEC members, the PhD theses produced by our
department are examined by one local and two foreign evaluators to ensure highest
quality possible.
Benchmarks
We remain successful in the enrollment of our best graduating MS students in our PhD
program.
Our faculty and PhD students are producing high quality papers in ISI indexed journals.
NUST sponsors to publish in open access journals as well.
Goal # 5: Leadership Training
The following steps are taken to ensure production of leaders:
Elements
Groom leaders of tomorrow.
Provide leadership training to students.
Strategies
The students are exposed to a number of curricular/extra-curricular activities.
Benchmarks
The students are able to successfully organize different academic and other activities.
The PhD students, who successfully qualify the comprehensive Exam, frequently teach
the basic undergraduate level courses at the school. This provides them a great
opportunity to learn the teaching methodologies and strengthen fundamental concepts.
Goal # 6: Industrial Collaboration
The following steps may be considered for industrial collaboration:
14
Elements
Establish contacts with industries.
It will be highly useful for the students to have industrial experience either by visiting
local industries or by working on industrial projects.
Strategies
To expose students to industry related research projects.
Benchmarks
Industrial collaboration is envisaged.
Encourage industry related research projects.
Goal # 7: Human Resource and Infrastructure
Be a leading institution in human resource development and infrastructure utilization.
Elements
Be a leading human resource development department for producing valuable scientific
researchers.
Strategies
The faculty members of the department are well qualified.
Adequate facilities are available to the faculty, students and staff.
Different incentives are available to retain faculty members in the school.
Benchmarks
New disciplines are introduced in the department from time to time.
Establishment of state of the art laboratories and expansion of the existing ones.
Involvement in different career development activities.
Program Objectives Assessment Following table provides an assessment of the Program’s Educational Objectives:
Objectives How Measured When Measured Improvement Identified
Improvement Made
15
Awareness of Core Concepts
Assignments Exams, Quizzes Projects
During and at the end of semester
Needs to be more regular
Regular monitoring by HoD
Practical Skills & tools
Academic Projects,Lab Assignments
During and at the end of semester
Training of latest software required
Improved computational skills required for the research
Professional Practice & Ethics
Meeting with the advisory groups
Thrice a semester Regular progressive monitoring
Students are asked to meet their respective advisors
Research Culture
Papers published, papers presented in conferences, overseas research tours, research collaboration and regular seminars
During and at the end of academic year
Sponsored research projects with private and public sector, active research groups
Projects have been sent to sponsors
Real world applications
Papers published, papers presented in conferences, overseas research tours, research collaboration and regular seminars
During and at the end of academic year
Sponsored research projects with private and public sector, active research groups
Projects have been sent to sponsors
Technical and Communication Skills
Academic projects,lab Assignments, teminars, teaching, Paper writing
During and at the end of academic year
Regular progressive monitoring
Improved communication skills required for the research
Research Based Courses
Assignments and projects
During the academic year
-- --
Intra-NUST
Research
Collaboration
Group meeting and research publications
During the academic year
-- --
Standard 1-2: The program must have documented outcomes for graduating students. It
must be demonstrated that the outcomes support the program objectives and the
graduating students are capable of performing these outcomes.
Program Learning Outcomes
1. Students are fully conversant with the core concepts of the subject.
2. Graduates are competent to apply computational skills effectively in different fields of
mathematics.
16
3. The students follow professional ethics to carry out their assignments.
4. The students have good communications skills.
5. The program develops a good research culture.
6. The program develops a good culture of intra-NUST collaboration.
7. The students are competent to review and extend the good research work of their field.
Program Objectives versus Program Outcomes
Program
Objectives
Program learning outcomes
1 2 3 4 5 6 7
1 √
2a √ √ √
2b √ √
2c √ √ √
2d √ √ √
2e √ √
3 √ √ √
4 √ √
5 √ √ √
6 √ √ √ √
7 √
8 √ √ √ √ √ √
Alumni Survey
The department was able to collect responses from 14 alumni. Participants were asked different questions on the quality of education they received and the level of participation they had at the department. The purpose of this survey was to assess the quality of the academic program. Results of the survey are as follows:
Alumni of the department feel that the program is effective in:
(i) Transferring of knowledge to Students and time management.
(ii) developing communication and interpersonal skills.
They are satisfied with their teachers. They think that the department has good reputation at
national level. But the infrastructure is not satisfactory.
The response against different questions is shown in the following graphs.
17
34%
40%
13%
0%
0% 13%
Math, Science, Humanities and professional discipline, (if applicable)
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Kn
ow
led
ge
20%
20%
47%
0%
0% 13%
Problem formulation and solving skills
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Kn
ow
led
ge
18
27%
7%
33%
20%
0% 13%
Collecting and analyzing appropriate data
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Kn
ow
led
ge
20%
7%
40%
13%
7%
13%
Ability to link theory to practice
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Kn
ow
led
ge
19
20%
20%
33%
7%
13%
7%
Ability to design a system component or process
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Kn
ow
led
ge
7%
20%
33%
33%
0%
7%
IT Knowledge
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Kn
ow
led
ge
20
13%
46% 7%
20%
7%
7%
Oral Communication
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Co
mm
un
icat
ion
Ski
lls
13%
33%
13%
27%
7%
7%
Report Writing
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Co
mm
un
icat
ion
Ski
lls
21
27%
20%
20%
20%
6%
7%
Presentation Skills
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Co
mm
un
icat
ion
Ski
lls
34%
13% 20%
13%
13%
7%
Ability to work in teams
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Inte
rpe
rso
nal
Ski
lls
22
14%
40%
13%
13%
13%
7%
Ability to work in arduous /Challenging situation
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyInte
rpe
rso
nal
Ski
lls
13%
47%
0%
20%
13%
7%
Independent thinking
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Inte
rpe
rso
nal
Ski
lls
23
20%
27%
7%
20%
13%
13%
Appreciation of ethical Values
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Inte
rpe
rso
nal
Ski
lls
20%
33% 20%
20%
0%
7%
Resource and Time Management Skills
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Man
age
me
nt/
Lead
ers
hip
Ski
lls
24
6%
40%
27%
20%
0%
7%
Judgment
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Man
age
me
nt/
Lead
ers
hip
Ski
lls
27%
33%
20%
13%
0%
7%
Discipline
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Man
age
me
nt/
Lead
ers
hip
Ski
lls
25
20%
7%
20% 33%
7%
13%
Infrastructure
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
De
par
tme
nt
Stat
us
20%
34% 20%
13%
0% 13%
Faculty
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
De
par
tme
nt
Stat
us
26
Graduating Students Exit Survey
The department was able to collect responses from 14 graduating students. Participants were asked different questions on the quality of education they received and the level of participation they had at the department. The purpose of this survey is to assess the quality of the academic program. Following is the summary of the survey.
Graduating students of the department feel that the program is effective in
(iii) enhancing teamwork abilities;
(iv) developing analytical and problem solving skills;
(v) independent thinking;
(vi) developing communication skills and planning abilities.
However, they think that the program is heavy and there is a need of co-curricular activities.
The response of students against different questions is shown in the following graphs.
27%
33%
13%
7%
0%
20%
Repute at National Level
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
De
par
tme
nt
Stat
us
27
18%
27%
36%
14%
4%
1%
The work in the program is too heavy and induces a lot of pressure.
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
11%
38%
26%
19%
6%
0%
The program is effective in enhancing team-working abilities
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
28
25%
43%
24%
7%
1% 0%
The program administration is effective in supporting learning
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
29%
37%
25%
7%
2% 0%
The program is effective in developing analytical and problem solving skills
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
29
31%
29%
25%
12%
2% 1%
The program is effective in developing independent thinking
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
17%
37% 25%
15%
6% 0%
The program is effective in developing written communication skills
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
30
20%
32%
31%
11%
6% 0%
The program is effective in developing planning abilities
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
28%
26%
33%
6% 7%
0%
The objectives of the program have been fully achieved
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
31
19%
41%
31%
7% 1%
1%
Whether the contents of curriculum are advanced and meet program objectives
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
19%
41%
26%
6%
7%
1%
Faculty was able to meet the program objectives
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
32
22%
35%
33%
8% 2%
0%
Environment was conducive for learning
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
13%
31%
37%
13%
5%
1%
Whether the Infrastructure of the department was good
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
33
8%
18%
32%
29%
11%
2%
Whether the program was comprised of Co-curricular and extra-curricular activities
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
19%
24%
31%
14%
11%
1%
Whether scholarships/ grants were available to students in case of hardship
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Gra
du
atin
g St
ud
en
ts
34
Employers’ Survey
The department was able to collect 9 responses from different departments about graduates of
SNS working there. Participants were asked different questions on the knowledge,
communication skills, interpersonal skills and work skills of the employees and results of some
of the traits are given in the graphs.
These surveys indicate a strong knowledge of the graduating students. Some attention
should be given to train students to link theory to practice. However, the employers are satisfied
with the communication skills and independent thinking of the employees.
0%
33%
67%
0% 0%
Ability to link theory to practice
A: Excellent
B : Very good
C : Good
D: Fair
E : Poor
67%
33%
0% 0% 0%
Math, Science, Humanities and Professional Discipline
A: Excellent
B : Very good
C : Good
D: Fair
E : Poor
35
33%
45%
22%
0% 0%
Oral communication
A: Excellent
B : Very good
C : Good
D: Fair
E : Poor
Co
mm
un
icat
ion
s Sk
ills
0%
67%
22%
0% 11%
Independent Thinking
A: Excellent
B : Very good
C : Good
D: Fair
E : Poor
Inte
rpe
rso
nal
Ski
lls
36
Different surveys were conducted in order to assess the performance of the graduates in light of
the stated program objectives and program outcomes. These surveys include Alumni Survey,
Graduating Student Exit Survey, Employers survey (given in Standard 1-2) Students Course
Evaluation Questionnaire, Teacher Evaluation Form and of graduating students (given in
Standard 1-4).
Annexure–D presents list of activities including workshops/conferences attended by the faculty
of the department of Mathematics.
Standard 1-3: The result of program’s assessment and the extent to which they
are used to improve the program must be documented.
Program Outcomes Measurement
1. According to the surveys, there is a dire need to incorporate extra-curricular activities in the
PhD Mathematics program.
2. The infrastructure of the department should be improved. Students should have dedicated
places for leisure as well as work.
3. There is a need to improve communication skills. Communication skills (preparation of
reports, research presentations etc.) are at least as important for advancement as technical
accomplishments (mathematical models, software development etc.). Such requirement is
essential for having a successful career in industry, research and teaching.
11%
89%
0%
0% 0%
Discipline
A: Excellent
B : Very good
C : Good
D: Fair
E : Poor
Wo
rk S
kills
37
To improve the presentation skills, the student are required to deliver at least two open
seminars in his/her PhD research phase. They are encouraged to teach fundamental courses in
the department after the successful completion of their qualifying examination.
In addition, PhD students register in the “Reading and Research course” (based on their
proposed PhD research topic) which provides them great opportunity to strengthen their report
writing skills.
4. The survey also reveals that students should have thorough IT knowledge. Computer
programming is now becoming an integral part of applied mathematical research. Students for
whom the computations or simulations will be necessary are required to master the needed
programming skills and software packages during their PhD degree duration.
In order to develop computing skills, students are required to carry out computer projects which
involve their PhD research-related mathematical content. Such projects may be carried out
through typical programming languages such as C or FORTRAN or standard software packages
including Matlab, Mathematica, Maple etc. may be used.
Overall performance:
Standard 1-4: The department must assess its overall performance periodically
using quantifiable measures.
There are total 100 students in the PG program of department out of which 23 are enrolled in PhD program. The department has 13 faculty members. The teacher student ratio for this program is not up to the NUST standard.
Most of the PhD students cannot complete their degree in the minimum time period and they request for additional time to complete the degree.
SNS has published more than 400 articles in reputed ISI listed journals and about 60 in non-ISI journals.
Since 2004, 13 projects of SNS have been approved.
Apart from the regular seminar series of each semester, the department has arranged 7 international workshops/seminars.
Parking problem has been resolved.
The research student progress review form indicates that the research students (PhD)
of SNS are satisfied with their respective supervisors in terms of plenty of support,
guidance and patience, however some of them have a concern that the supervisor
(and/or a GEC member) should not be absent on long leave at the finishing/completion
stages of their thesis/defense. This problem may cause delays in checking the thesis
and holding the defense of students. This problem can be remedied internally at the
school level by the concerned HoDs.
38
Course Review report statistics (teacher and subject wise)
Student Course Evaluation Questionnaire: Table 1-4.1 shows a report on student course
evaluation questionnaire.
This report indicates that most of the courses are according to current requirements. While
some of the courses require revision. Mathematics department has already started the revision
of the whole curriculum of PhD/MS courses.
SUBJECT
AVER
AGE RATING
TOTAL
STUDENTS
MATH-805 Computational
Mathematics (PHD 2013) 60 Good 15
MATH-943 Conex Analysis (PHD
2013) 65.15 Good 8
ME-821 Advanced Fluid Mechanics
(PHD 2013) 78.38 Very Good 16
MATH-901 Ordinary Differential
Equation-I (PHD 2013-Morning) 58.59 Satisfactory 8
MATH-903 Partial Differential
Equations-I (PHD 2013) 70.1 Good 29
MATH-905 Symmetry Methods for
Differential Equation-I (PHD 2013) 70.3 Good 5
MATH-909 Continuum Mechanics-I
(PHD 2013) 80.61 Very Good 4
MATH-916 General Relativity (PHD
2013) 71.72 Good 20
MATH-941 Graph Theory (PHD
2013) 81.52 Very Good 6
MATH-949 Combinatorics (PHD
2013) 66.79 Good 17
MATH-806 Functional Analysis
(PHD 2013) 72.53 Good 13
HU-101 Islamic Studies (BS Math
2013) 65.58 Good 35
PHY-112 Applied Physics-II (BS
Math 2013) 62.63 Good 32
39
CS-101 Computer Fundamentals
(BS Math 2013) 64.73 Good 33
MATH-113 Calculus-II (BS Math
2013) 44.24 Satisfactory 33
HU-212 Technical and Business
Writing (BS Math 2013) 63.43 Good 33
HU-222 Professional Ethics (BS
Math2012) 63.93 Good 31
HU-108 Communication and
Interpersonal Skills (BS Math2012) 63.03 Good 32
MATH-223 Linear Algebra-I
(BSMath2012) 70.55 Good 31
MATH-242 Real Analysis-I (BS
Math2012) 64.12 Good 32
MATH-251 Differential Equations-I
(BS Math2012) 55.35 Satisfactory 34
MATH-262 Mathematical
Computing (BS Math2012) 62.69 Good 30
MATH-324 Abstract Algebra (BS
Math2011) 70.91 Good 28
MATH-381 Differential Geometry-I
(BS Math2011) 67.68 Good 28
MATH-371 Mechanics (BS
Math2011) 58.18 Satisfactory 27
MATH-432 Numerical Analysis-II
(BSMath2011)(Elective) 68.48 Good 27
MATH-476 Cryptography
(BS2011)(Elective) 67.88 Good 27
MATH-446 Complex Analysis (BS
Math2010) 76.36 Very Good 13
MATH-474 Mathematical Modeling
(BS Math 2010) 76.97 Very Good 13
HU-214 World History and Physical
Geography (BS Math 2010) 78.79 Very Good 13
40
MATH-901 Ordinary Differential
Equation-I (PHD 2013-Evening) 78.48 Very Good 6
PHY-922 Nanophysics (PHD 2013-
Evening) 0
Feedback
not
completed 3
MATH-372 Special Relativity (BS
Math 2010) 73.33 Good 16
MATH-428 Rings and Fields (BS
Math 2010) 79.39 Very Good 12
MATH-472 Fluid Mechanics (BS
Math 2010) 78.18 Very Good 10
EE-350 Data Communication (BS
Math 2011) 70.61 Good 25
Average 60.85 Good
Table 1-4.1: Statistics for LMS for Student Course Evaluation Questionnaire
Student Feedback for Teachers: The following Table 1-4.2 shows average of students’ feedback
for teachers. The feedback average is excellent.
S. # Semester PhD Courses
Feedback Average
1. Fall 2013 92.16
2. Spring 2014 88.76
3. Fall 2014 86.63
4. Spring 2015 88.20
Table 1-4.2: Final Student Feedback for Teachers from LMS (subject wise)
Faculty Course Review Report:
Faculty course review report (Spring 2014) is given in Table1-4.3. The data is obtained from NUST website.
41
The below table indicates the submission of Faculty Course Review Report for different courses by the relevant faculty members. In these reports faculty members have given their feedbacks about the courses. These reports are available in department and will be used in curriculum revision.
TEACHER SUBJECT SUBMISSIONS
Dr. Muhammad Ishaq MATH-801 Algebra 1
Dr. Mujeebur Rehman MATH-802 Analysis 0
Dr. Mubasher Jamil MATH-803 Geometry 0
Prof. Faiz Ahmad MATH-804 Differential
Equations 1
Dr. Mujeebur Rehman MATH-802 Analysis 0
Dr. Mubasher Jamil MATH-803 Geometry 0
Prof. Faiz Ahmad MATH-804 Differential
Equations 1
Dr. Yousaf Habib
MATH-805 Computational Mathematics 0
Dr. Matloob Anwar MATH-943 Conex
Analysis 1
Dr. Meraj Mustafa Hashmi
ME-821 Advanced Fluid Mechanics 0
Prof. Faiz Ahmad MATH-901 Ordinary
Differential Equation-I 0
Dr. Mujeebur Rehman
MATH-903 Partial Differential Equations-I 1
Dr. Tooba Feroze
MATH-905 Symmetry Methods for Differential
Equation-I 0
Dr. Moniba Shams MATH-909 Continuum
Mechanics-I 1
Dr. Mubasher Jamil MATH-916 General
Relativity 0
Dr. Rashid Farooq MATH-941 Graph Theory 0
Dr. Muhammad Imran MATH-949 Combinatorics 0
Dr. Quanita Kiran MATH-806 Functional
Analysis 0
Prof. Faiz Ahmad MATH-901 Ordinary
Differential Equation-I 0
Table1-4.3: Faculty Course Review Report from LMS
42
Survey of Department Offering PhD Programs Survey of the department offering PhD programs is attached. Research Student Progress Review Form All PhD students in Research phase are submitting the research progress review form in hard form at the end of each semester on regular basis. Hard copies of these forms are available in the department after analysis of these forms it is concluded that students are satisfied with the facilities available in the department for research. Most of the students are satisfied with the level of support from their supervisors.
43
Achievements, Honors and Awards of mathematics department during 2011-2013.
S/No
.
Name of Recipient
of Award
Name of Award,
Honour,
Achievements
Date of
Award
Name of
Awarding
Organizatio
n
b. Prof. Muneer Ahmad Rasheed
(Ex- faculty) Gold Medal in Mathematics 2010 PAS
c. Dr. Tayyab Kamran (Ex-
faculty)
Salam Prize in
Mathematics 2009 -do-
f. Dr. Mubasher Jamil
Dr. Raziuddin Siddiqui
Prize, Research
Productivity Award(2011-
2014), Best research
paper award from HEC,
Young Affiliate with
TWAS
2010
2011-14
2013
PAS, HEC,
PCST, TWAS
Details of international conferences organized by SNS (2004-2015) are given in the following
table.
Sr. No. Name of Conference Dates
1st Italian Pakistan workshop on Relativistic Astrophysics,
Leccee, Italy in collaboration with University of Salento, Italy
June 20-22, 2007
2nd Italian Pakistan workshop on Relativistic Astrophysics,
Pescara, Italy in collaboration with University of Salento, Italy
July 8-10, 2009
1 3rd Italian Pakistan workshop on Relativistic Astrophysics,
Leccee, Italy in collaboration with University of Salento, Italy
Jun 20-22 2011
2 NUST Conference on Mathematical Sciences (NCMS~2011),
SNS, NUST, Islamabad
Nov 17-19 2011
3 NUST Conference on Applications and Methods in Physics,
SNS, NUST, Islamabad
Nov 21-22 2011
4 4th Italian-Pakistani Workshop on Relativistic Astrophysics, SNS,
NUST, Islamabad
Feb 15-17 2013
5 Symmetries, Differential Equations and Applications (SDEA), Jan 27-30 2014
44
SNS, NUST, Islamabad
6 International Workshop on Solutions of Differential Equations
from Transformed Techniques, COMSTECH, Islamabad
Jan 30 –Feb 01,
2014
7 International Workshop on Discrete Structures (IWODS 2014) Mar 05-07, 2014
8 6th International Conference on Recent Developments in Fluid
Mechanics
Mar 17-19, 2015
Following table shows the number of publications and impact factor for each year.
Year
Number of ISI
Publications
Total Impact
Factor
Number of NON-
ISI Publications
2004 4 2.496 -
2005 3 2.211 1
2006 6 5.211 1
2007 25 27.783 6
2008 28 43.412 4
2009 35 71.25 12
2010 49 99.418 10
2011 57 96.988 6
2012 66 96.228 8
2013 51 77.509 8
2014 83 113.075 20
Faculty Survey
The department was able to collect responses from faculty. The results are obtained from NUST website. The purpose of this survey is to assess the feedback from faculty about the Department environment.
The faculty survey reveals that in general faculty of the department is satisfied with the available facilities and the environment. However, faculty is not satisfied with the salary and compensation packages.
45
The result in the form of graphs is as follows:
17%
42%
25%
8%
0% 8%
Your mix of research, teaching and community service
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
16%
50%
17%
0%
0% 17%
The intellectual stimulation of your work.
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
46
25%
50%
9%
8%
0% 8%
Type of teaching / research you currently do
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
59% 25%
0% 8%
0% 8%
Your interaction with students
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
47
42%
42%
0% 8%
0% 8%
Cooperation you receive from colleagues
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
25%
42%
25%
0% 0%
8%
The mentoring available to you
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
48
25%
50%
17%
0% 0%
8%
Administrative support from the department
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
8%
58%
17%
0%
0% 17%
Providing clarity about the faculty promotion process
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
49
9%
67%
8%
8%
0% 8%
Your prospects for advancement and progress through ranks
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
8%
25%
17%
42%
0% 8%
Salary and compensation package
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
50
0%
50%
17%
25%
0% 8%
Job security and stability at the department
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
9%
25%
25%
25%
8%
8%
Amount of time you have for yourself and family
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
51
17%
67%
8%
0% 0%
8%
The overall climate at the department
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
17%
58%
8%
0%
0% 17%
Whether the department is utilizing your experience and knowledge
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
Empty
Facu
lty
Surv
ey
52
9%
8%
67%
8%
0% 8%
Academic Rank
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
67%
25%
0%
0% 0%
8%
Years of Service
Strongly agree
Agree
Neutral
Disagree
Strongly Disagree
EmptyFacu
lty
Surv
ey
53
Criterion 2: Curriculum Design & Organization Degree Title PhD in Mathematics Definition of the Credit Hour
One credit hour requires one contact hour a week in class or three contact hours a week
of laboratory work per semester. (A class of 50 minutes = 1 credit hour, a lab of three hours = 1
credit hour of lab.)
Degree Plan A PhD student is required to complete 18 credit hours course work with CGPA 3.5 or more. Usually, the first two semesters consist of course work. In these semesters student selects courses of his/her own choice from the offered courses in that semester. These courses are offered from the list of approved courses. Each student, then, must qualify comprehensive exams. The comprehensive exam consists of both written and oral (defense of synopsis) exam. After that student enters into the research phase where he/she write and defend thesis for 36 credit hours for the completion of degree. Assessment of MS Mathematics Curriculum
Standard 2-1: The curriculum must be consistent and supports the program
documented objectives.
Following table shows how the group of courses support the program documented
objectives:
Courses or
group of
courses
Objectives
1 2 3 4 5
Optional 1-6 Advanced
mathematics
concepts. Skills
and tools
Analyze and
model real
world
problems
to think and
work
independently
to pursuit
higher
learning
Thesis Research
culture
career of
innovation
training
students in
research
methodology
to pursuit
higher
learning
presentation
skills in report
writing
Table 4: Courses versus Program Objectives
(Standard 2-1 requirement)
54
Theory, Problem Analysis & Solution Design
Standard 2-2: Theoretical background, problems analysis and solution design
must be stressed within the program’s core material.
Requirements for the Program Curriculum
Standard 2-3: The curriculum must satisfy the core requirements for the program, as
specified by the respective accreditation body.
The PhD degree requires a total of at least 54 credit hours comprises of 18 credits of
courses and thirty six credits for the thesis which meets HEC requirement.
Standard 2-4: The curriculum must satisfy the major requirements for the program, as
specified by the respective accreditation body.
The PhD in mathematics program satisfies all the requirement of HEC.
Standard 2-5: The curriculum must satisfy general education, arts, and professional and
other discipline requirements for the program, as specified by the respective
accreditation body.
Not Applicable
Comparison of SNS Mathematics Program with HEC Requirements Following table shows a comparison of the PhD Mathematics Program at SNS with HEC proposed program. Semester-wise Breakdown
Course Work
HEC Proposed PhD Mathematics Program at SNS
First Semester
Course Title Cr. Hours Course Title Cr. Hours
Optional -1 3 Optional -1 3
Optional -2 3 Optional -2 3
Optional -3 3 Optional -3 3
Second Semester
Optional -1 3 Optional -1 3
Optional -2 3 Optional -2 3
Optional -3 3 Optional -3 3
Total 18 18
Course work of 18 credit hours preferably in the first year is required to be completed and followed by a comprehensive examination for granting candidacy as PhD research.
Research Work
HEC Proposed PhD Mathematics Program at SNS
Comprehensive Examination Comprehensive Examination before starting the research work
55
PhD Thesis Credit Hours are not fixed 36 Credit Hours
Research Paper Acceptance/publication of at least one research paper in an HEC approved “X” category journal is a
Acceptance/publication of at least two research papers in an HEC approved journals/ international conferences of repute out of which at least one paper must be accepted/ published in an HEC approved “X” category journal;
Only those publications will be considered in which student is the first author
Plagiarism Test The Plagiarism Test must be conducted on the Dissertation before its submission to the two foreign experts
The Plagiarism Test must be conducted on the Thesis before its submission to the two foreign experts
Evaluation of thesis
by at least two PhD experts from technologically/academically advanced foreign countries in addition to local Committee
by at least two PhD experts from technologically/academically advanced foreign countries in addition to local Committee (GEC)
Defense of Dissertation
An open defense of Dissertation is essential part of PhD Program after positive evaluation
An open defense of Dissertation is essential part of PhD Program after positive evaluation
From the above table, it is clear that the PhD Mathematics Program at SNS is in line with the HEC requirements.
Information Technology Component
Standard 2-6: Information technology component of the curriculum must be
integrated throughout the program.
No course is dedicated for information technology. However, some courses in the
curriculum contain information technology components:
Semester Course
I-II Computational Mathematics-I&II
I-II Optimization theory –I&II
Table 6: Courses with Information technology component
(Standard 2-6 requirement)
56
Course Outlines Course outlines are available in admin office of SNS. Communication Skills Standard 2-7: Oral and written communication skills of the students must be developed
and applied in the program.
Thesis writing and defense of the thesis is compulsory for all the graduating students. This practice develops oral and written communication skills.
Criterion 3: Laboratories and Computing Facilities
Introduction There are 3 labs and 3 research rooms in the School of Natural Sciences (SNS), their
names are as follows:
1. Computer lab 2. Research room 1 3. Research room 2 4. Research room 3
The detailed information about all the above mentioned labs is as follows: (1) Computer Lab
Lab In charge: Saqib Hayat Lab Engineer: -- Lab Staff: Zaheer Khan Abbasi Covered Area: 696.88 sqft Objectives: The objective of this lab is to conduct exercises related to
the subject of MS Mathematics.
Related Subjects: Mathematics Major Apparatus:a) 40 Computers
b) 01 Multimedia Projector (2) Research room 1
Incharge: Saqib Hayat Engineer: --
Lab Staff: Waqas Saleem Covered Area: 373.66 sqft Objectives: The objective of this lab is to conduct research work
related to the subject of mathematics.
Related Subjects: Mathematics Major Apparatus: 5 Computers
57
(3) Research room 2
Incharge: Saqib Hayat Lab Engineer: Lab Staff: Waqas Saleem Covered Area: 275.33 sqft Objectives: The objective of this lab is to conduct research work
related to the subject of mathematics.
Related Subjects: Mathematics Major Apparatus: 5 Computers
(4) Research room 3
Lab Incharge: Saqib Hayat Lab Engineer: --- Lab Staff: Waqas Saleem Covered Area: 614.33 sqft Objectives: The objective of this lab is to conduct research work
related to the subject of mathematics. Related Subjects: Mathematics Major Apparatus: a) 1 Computer
b) 1 Printer c) 1 Scanner
Safety Procedures for all Labs Laboratory Safety Precautions
Never eat, drink or smoke while working in the laboratory.
Do not any equipment unless you are trained and approved as a user by your supervisor.
Wear safety glasses or face shields when working with hazardous materials and/or
equipment
Clothing: When handling dangerous substance, wear gloves, laboratory coats, and safety
shield or glasses. Shorts and sandals should not be worn in the lab at any time. Shoes
are required when working in the machine shops.
If you have long hair or loose clothes, make sure it is tied back or confined.
Keep the work area clear of all materials except those needed for your work Coats should
be hung in the hall or placed in locker. Extra books, purses, etc. should be kept away
from equipment that requires air flow or ventilation to prevent overheating.
58
Equipment Failure - if a place of equipment fails while being used, report it immediately to
your lab assistant or tutor. Never try to fix the problem yourself because you could harm
yourself and others.
If leaving a lab unattended, turn off all ignition sources and lock the doors.
Never pipette anything by mouth.
Know the location of the fire extinguisher, eye wash, and safety shower in your lab and
know how to use them.
Notify your instructor immediately after any injury, fire or explosion, or spill.
Clean up your work area before leaving.
General Safety Guidelines
Your personal laboratory safety depends mostly on you.
Never do unauthorized experiments.
Do not touch anything with which you are not completely familiar.
Keep your lab space clean and organized.
Do not leave an on-going experiment unattended.
Always inform your instructor if you break a thermometer. Do not clean mercury yourself.
Never, ever look into any laser beam. No matter how low power or “eye safe” you may
think it is.
Never taste anything. Never pipette by mouth; use a bulb.
Check your glassware for cracks and chips each time your use it. Cracks could cause the
glassware to fall during use and cause serious injury to you or lab mates.
Obtain permission before operating any high voltage equipment.
Maintain unobstructed access to all exits, fire extinguishers, electrical panels, emergency
showers, and eye washes.
Do not use corridors for storage or work areas.
Do not store heavy items above table height. Any overhead storage of supplies on top of
cabinets should be limited to lightweight items only.
Standards Lab Manuals/Documentation/Instructions Standard 3-1: Laboratory manuals/documentation/instructions for experiments must be
available and readily accessible to faculty and students.
Each lab maintains the necessary manuals/instructions for experiments. Faculty members and
students are entitled to get issued these manuals for limited period.
59
For graduate studies, these laboratories have sufficient facilities and are comparable with other
engineering/sciences institutions in Islamabad.
Adequate Personnel Support for Labs Standard 3-2: There must be adequate support personnel for instruction and maintaining
the laboratories.
There is adequate lab support in terms of personnel.
Each lab is looked after by a qualified lab staff.
Details of lab staff of the department are as follows:
a. Name: Waqas Saleem Designation: Lab Attendant Qualification: BS Electronics, Sarhad University, Islamabad, 2014.
b. Name: Zaheer khan Abbasi Designation: Lab Attendant Qualification: DAE Computer Technology, PBTE Lahore, 2011
Adequate Computing Infrastructure and Facilities Standard 3-3: The University computing infrastructure and facilities must be adequate to
support program’s objectives.
All faculty members and students have access to adequate computing facilities.
All faculty members are provided with PCs in their offices along with accessories.
There are adequate computer labs in the school. Details are already shown above.
These labs are easily accessible by the students and all of them remain open till 05:00 p.m.
The labs and faculty offices are equipped with internet facilities as well.
The computing facilities, in general, are similar to those found in major reputable universities of the world.
Criterion 4: Student Support & Guidance Completion of Program:
Standard 4-1: Courses must be offered with sufficient frequency and number for
students to complete the program in a timely manner.
The students are required to study a set of core courses in the first semester. These courses
are offered every year. Optional courses may also be offered twice a year, if required.
Interaction between Students, Faculty and Teaching Assistants:
Standard 4-2: Courses in the major area must be structured to ensure effective
interaction between students, faculty and teaching assistants.
60
All courses are taught by one faculty member at a time. The students can interact with faculty
during office hours. Research students meet their supervisors whenever they need assistance.
Guidance and Qualified Advising:
Standard 4-3: Guidance on how to complete the program must be available to all
students and access to qualified advising must be available to make course decisions
and career choices.
The courses of PhD Mathematics Program are so structured to ensure effective interaction
between students and faculty. The following principles are observed in order to ensure effective interaction between students and faculty in the courses offered:
Classes are made of small number of students.
Students are required to attend their classes regularly and remain punctual in the class.
Faculty members are required to display their office hours as well as announce it to their students.
Each faculty member is advisor of a group of students. Students can share their problems with their respective advisors. These advisors are available to make course decisions as well.
Typically a given PhD Mathematics course includes as part of the “Course Work” a final exam, two one-hour exams, a number of quizzes, and a number of homework assignments. This scheme encourages students to be in constant contact with their instructors and subject material.
After the completion of 18 credit hours, students start their research work and qualifying the comprehensive exam from the core courses, students start their research work. This activity augments student/faculty interaction.
The complete list of elective courses is given below Structure of Courses
Code Elective Courses CHs Institute Pre-Requisites
MATH 805 Computational
Mathematics 3 SNS None
MATH 806 Functional Analysis 3 SNS None
MATH 901 Ordinary Differential
Equation-I 3 SNS None
MATH 902 Ordinary Differential
Equations-II 3 SNS
MATH-901 Ordinary
Differential Equations-I
61
MATH 903 Partial Differential
Equations-I 3 SNS None
MATH 904 Partial Differential
Equations-II 3 SNS
MATH-903 Partial
Differential Equations-I
MATH 905 Symmetry Methods for
Differential Equations-I 3 SNS None
MATH 906 Symmetry Methods for
Differential Equations-II 3 SNS
MATH-905 Symmetry
Methods for Differential
Equations-I
MATH 907 Functional Methods for
Differential Equations 3 SNS None
MATH 908 Fixed Point Theory 3 SNS None
MATH 909 Continuum Mechanics-I 3 SNS None
MATH 910 Continuum Mechanics-II 3 SNS MATH-909 Continuum
Mechanics-I
MATH 911 Special Functions 3 SNS None
MATH 912 Transform Methods 3 SNS None
MATH 913 Asymptotic Methods 3 SNS None
MATH 914 Mathematical Modeling 3 SNS None
MATH 915 Complex Methods 3 SNS None
MATH 916 General Relativity 3 SNS None
MATH 917 Cosmology 3 SNS None
MATH 918 Spinor Formalism 3 SNS None
MATH 919 Stellar Structures 3 SNS None
MATH 920 Relativistic Astrophysics 3 SNS None
62
MATH 921 Relativistic Astrophysics of
the Galactic Centre 3 SNS None
MATH 922 Classical Field Theory 3 SNS None
MATH 923 Quantum Mechanics 3 SNS None
MATH 924 Quantum Field Theory 3 SNS None
MATH 925 Quantum Field Theory in
Curved Spaces 3 SNS None
MATH 926 Particle Physics 3 SNS None
MATH 927 Foundations of Quantum
Mechanics 3 SNS None
MATH 928 Celestial Mechanics 3 SNS None
MATH 929 Thermodynamics 3 SNS None
MATH 930 Statistical Mechanics 3 SNS None
MATH 931 Electromagnetism-I 3 SNS None
MATH 932 Electromagnetism-II 3 SNS MATH-931
Electromagnetism-I
MATH 933 Gravitational Lenses 3 SNS None
MATH 934 Optimization Theory-I 3 SNS None
MATH 935 Optimization Theory II 3 SNS MATH-934 Optimization
Theory-I
MATH 936 Advanced Computational
Mathematics-I 3 SNS
MATH-805 Computational
Mathematics
MATH 937 Advanced Computational
Mathematics II 3 SNS
MATH-936 Advanced
Computational Mathematics-I
MATH 938 Stochastic Methods-I 3 SNS None
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MATH 940 Stochastic Methods-II 3 SNS MATH-938 Stochastic
Methods-I
MATH 941 Graph Theory 3 SNS None
MATH 942 Topology 3 SNS None
MATH 943 Convex Analysis 3 SNS None
MATH 944 Semigroup Theory of
Operators 3 SNS None
MATH 945 Lie Group Representation 3 SNS None
MATH 949 Combinatorics 3 SNS None
Guidance to Students Upon joining NUST handbooks are given to all students. The handbook contains detailed information about
Degree program
Semester system
Graduation requirements
Examinations policy
Retest policy
Failure conditions
Relegation conditions
Withdrawal conditions
Cheating and plagiarism penalties
Relevant program requirements In addition to this, these instructions are also available to students on the school website.
Student Counseling & Advisory System
Every faculty member is assigned a group of students (MS) to act as official advisor of that group.
The advisor formally spends some time with the group discussing various issues of concern with students, updating them on administrative policies and listening to and solving their problems.
The students of the group are free to contact their advisor whenever they need guidance.
64
Utmost importance is given to the privacy and personal concerns of the students in such matters.
Criterion 5: Process Control Standard 5-1: The process by which students are admitted to the program must be based
on quantitative and qualitative criteria and clearly documented. This process must be
periodically evaluated to ensure that it is meeting its objectives.
MS Program at Department of Mathematics, School of Natural Sciences, NUST
This section explains the criteria and procedure of entrance to National University of Sciences and Technology (NUST) in general. Department of Mathematics follows the same guidelines. Eligibility Criteria
For admission in the PhD program, GAT is mandatory and the result of last degree is also important. Admissions are open to all students irrespective of the gender. Entrance Examination For admission in the program eligible candidates appear in an interview. Date of interview is sent by e-mail or post Selection Procedure
A list of selected candidates shall be prepared and send to HQ NUST for the completion of necessary official requirements. Waiting List
There will be no waiting list. Rejection of Application
Any irregularity in the application may lead to its rejection Migration In PhD Mathematics migration from any other national or international institute is not allowed. International Students Admission
The eligibility criterion for foreign students is same as for local students. Entrance Test
Foreign students/Pakistanis living abroad also appear in the interview.
65
Merit List
There is no merit list. Clearance
Cases of foreign students, finally selected for admission in NUST constituent
colleges/institutes will be referred to the Govt. of Pakistan for clearance. Security clearance will
be obtained from the concerned authorities as per the requirement. Those who could not able to
get clearance will not be eligible for admission.
Accommodation
Accommodation to the foreign students under NUST arrangement is preferred. Standards School sends recommendations/ deficiencies to the main office NUST. Main office
NUST sends offer letters to eligible students.
Admissions Process
The admissions process is described in detail in Criterion 5-1. Program Registration and Monitoring Standard 5-2: The process by which students are registered in the program and
monitoring of students progress to ensure timely completion of the program must be
documented. This must be periodically evaluated to ensure that it is meeting with its
objectives.
Completed registration forms are sent to NUST main office. On receipt of registration cards, the same are distributed among the students. NUST main office is responsible for the registration of the students.
The contents of all new courses are evaluated in a departmental meeting where all the shortcomings or improvements are suggested and incorporated. After getting approval from Faculty Board of Studied (FBS) and then from Academic Council Meeting (ACM) the courses are offered. The students are also asked to submit an evaluation report of each course. This evaluation or student feedback is also discussed with individuals and shortcomings are identified and remedial measures are taken to improve upon previous performances.
The department follows NUST statutes which clearly state the graduation criteria. The analysis that whether a student meets the graduation criteria is done by the Examination Branch at School of Natural Sciences and strictly follows the NUST policy in this regard. Recruiting and Training Highly Qualified Faculty
Standard 5-3: The process of recruiting and retaining highly qualified faculty
members must be in place and clearly documented. Also process and procedures
66
for faculty evaluation, promotion must be consistent with institution mission
statement. These processes must be periodically evaluated to ensure that it is
meeting its objectives.
SNS has a strict policy of hiring or recommending the faculty of only the highest calibre. This process starts with receipt of CV and application from an interested individual who wishes to join our department. The application is discussed in house first with the department faculty and then, if found capable, with the Principal. If the applicant meets baseline criteria, he/she is invited for an interview and asked to prepare a presentation in his/her area of interest. This presentation is attended by faculty of the department. Faculty members from other departments and heads of other departments may also join the session. The applicant is evaluated on the basis of various parameters including presentation skills, teaching ability, research potential, expression etc.
If the applicant is considered well suited for the job, the case is sent to the HR Dte main office NUST for final selection.
Standard 5-4: The process and procedures used to ensure that teaching and delivery of course material to the students emphasizes active learning and that course learning outcomes are met. The process must be periodically evaluated to ensure that it is meeting its objectives. To ensure that the teaching and delivery of course material to the students is meeting the required standards, the Head of the Department visits each course class at least twice per semester and a written report is prepared according to the prescribed proforma (as shown below in NUST proforma on Class Audit Report). In the light of this report, the teaching is assessed and in case of any deficiency, the teacher is advised in time to take ample and required measures. Thisclass audit is included in the final ACR of the teacher.
Further, the students give Faculty Feedback twice a semester which assesses the teacher’s performance and his/her justification towards the course material covered and its understanding.
The students submit a Course Evaluation Report at the end of the semester and the suggestions and input from the students is recorded for future improvement.
Performance Evaluation of Faculty – NUST
Class Audit Report (to be filled by the Reporting Officer)
Course Code: Course Title:
Instructor: Class:
5 4 3 2 1
67
Topic: Date:
Sr. # Areas Being
Evaluated
Comments Rating
1. Objective & Goals The faculty made a clear statement of the objectives of the session at
the beginning of class or at another appropriate time
2. Preparation The faculty was well prepared for class with necessary materials
3. Subject Matter
Expertise
The faculty presented material at a level appropriate to the course
4. Teaching Methodology When appropriate, the faculty combined methods of instruction
(instruction (visual, auditory, etc) to accommodate various student
learning styles
5. Responsiveness The professor was attentive to student questions and comments and
provided clear explanations and examples
6. Classroom
Management
The faculty demonstrated effective classroom management skills
7. Organization The faculty presented the material in an organized manner
8. Clarity The faculty presented instructional material clearly
9. Respect The faculty encourages mutual respect
Non-Classroom Observations
10. Course outline The faculty syllabus conforms to the existing course outline of record
11. Syllabus The faculty’s syllabus includes a description of course content,
contact information, office hours if applicable, the means by which
students will be evaluated, grading standards and other relevant
information
12. Student Evaluation
Process
The faculty participated in the evaluation in professional and timely
manner in light of Part II, Chapter 04 of NUST statutes
13. Professional
Obligation
The faculty meets professional obligations outside of class (submits
rosters and grades on time)
14. Curriculum
Development
Adds and introduces new techniques for effective teaching. The
faculty reviews the curriculum in the light of latest
developments/requirements
Page 1
Excellent Very Good Good Average Poor
68
Performance Evaluation of Faculty – NUST
Sr. # Areas Being
Evaluated
Comments Rating
15. Student Facilitation The Faculty assists and facilities the students during office hours
and provides necessary guidance
16. Value addition The faculty related theory with practical problems and establishers
relevance of the industry with academic concepts
17. Fairness The faculty treats and evaluates all the students fairly
18. Conduct of
lab/projects
The faculty conducts the lab/projects timely and effectively
19. Punctual Conduct of
Assessment Means
Assignments, quizzes, one hour tests, mid term and final
examinations were designed, conducted, marked and discussed on
time
20. Knowledge of NUST
statues
Faculty has clear understanding & knowledge of the NUST statues
regarding academic standards & related requirements
21. Total Marks:
Total Points Scored based on the following formula =
For Teaching Focused : (Total Marks ÷ 100 x 20)
For Research Focused : (Total Marks ÷ 100 x 5)
For Hybrid Focused : (Total Marks ÷ 100 x 10)
a. Strong Areas:
b. Suggestions to Improve: He/She has been advised to:
(Name and Signature)
Page 2
69
Standard 5-5: The process that ensures that graduates have completed the requirements of the program must be based on standards, effective and clearly documented procedures. This process must be periodically evaluated to ensure that it is meeting its objectives.
To ensure that the students are meeting the requirements of completing the course:
Attendance is maintained on LMS and is updated regularly. The deficient students are warned in time to recover. A student failing to meet the attendance requirement is disallowed to sit in the final exam according to the NUST Rules.
The students are given appropriate number of quizzes, assignments, projects and presentations which are evaluated and assessed throughout the semester. This activity reflects the understanding level of the students for the course. Any measures required are then taken and the students are duly notified of any deficiencies.
Two Sessional/One Hour Tests are conducted during the semester. The questions in these exams are selected according the course taught and to check the understanding of the student. The result from the sessional exams gives a clear picture whether or not the students have met the objectives of the course.
Before the final exam, the students are given the aggregate result of the assessments carried till then which gives a clear picture to the student to set their targets and recover any deficiencies. This helps the student to give attention to the ignored material of the course and cover it in time.
The final result is discussed at the departmental level and each deficient student is assessed individually. The grading for each course is discussed in the departmental board of studies and later approved in the Faculty board of studies meeting. In light of the discussion through FBS, appropriate actions are taken.
In most deficient cases, not only the students are advised by their respective advisors (advisors are the faculty members in the department) but also their parents are informed, if required, to take measures for improvement.
Criterion 6: Faculty
Adequate coverage of program areas:
Standard 6-1: There must be enough full time faculty who are committed to the program
to provide adequate coverage of the program areas/courses with continuity and stability.
The interests and qualifications of all faculty members must be sufficient to teach all
courses, plan, modify and update courses and curricula. All faculty members must have
a level of competence that would normally be obtained through graduate work in the
discipline. All faculty must hold a PhD in the discipline.
As a reputed institution of higher scientific and technical education in the country, NUST
seeks excellence in all of its programs and activities. High quality dedicated faculty is a cardinal aspect of NUST's programs. The excellent teacher-to-student ratio in the constituent colleges and institutes ensures that instruction, research and development are integrated to make the institution innovative and responsive.
70
All faculty members at the Department of Mathematics hold PhD degree and they are full-time faculty members. They are committed to the program development and course coverage in addition to maintaining academic standards. The interest and qualifications of the faculty members are sufficient to plan, teach, modify and update all offered MS courses, and curriculum. Full-Time Faculty The list (as on May 31, 2015) of full-time faculty members of the Department of Mathematics is shown in the following table:
Sr. # Name Designation
1. Prof. Azad A. Siddiqui Principal
2. Dr. Rashid Farooq HoD Mathematics
3. Prof. Faiz Ahmad Consultant
4. Dr. Tooba Feroze Associate Professor
5. Dr. Matloob Anwar Assistant Professor
6. Dr. Meraj Mustafa Hashmi Assistant Professor
7. Dr. Mubasher Jamil Assistant Professor
8. Dr. Khaula Naeem Khan Assistant Professor (on leave)
9. Dr. Moniba Shams Assistant Professor
10. Dr. Muhammad Imran Assistant Professor
11. Dr. Yousaf Habib Assistant Professor
12. Dr. Mujeebur Rehman Assistant Professor
13. Dr. Muhammad Ishaq Assistant Professor
14. Dr. M. Asif Farooq Assistant Professor
15. Dr. Abid Ali Lashari Assistant Professor (on leave)
The following table indicates the various program areas and the number of faculty
members in each area:
Program Areas of Specialization
Courses Offered in Each Area Number of Faculty
Members
Number of Faculty with PhD Degree
Algebra and Analysis
Functional Analysis, Fixed Point Theory,
Special Functions, Topology, Convex
Analysis, Semigroup Theory of
Operators, Lie Group Representation.
4 4
Computational Mathematics
Computational Mathematics 5 5
71
Discrete Mathematics
Combinatorics, Optimization Theory-I,
Graph Theory.
3 3
Differential Equations
Ordinary Differential Equation-I, Partial
Differential Equations I, Mathematical
Modeling.
6 6
Mathematical Physics
Symmetry Methods for Differential
Equations I, General Relativity,
Cosmology.
4 4
Fluid Mechanics Advanced Fluid Mechanics, Continuum
Mechanics-I.
3 3
Faculty members have their complete resumes included in Annexure-D.
Time for Scholarly Activities:
Standard 6-2: All faculty members must remain current in the discipline and sufficient
time must be provided for scholarly activities and professional development. Also,
effective programs for faculty development must be in place.
NUST sponsors PhD study and research for outstanding faculty members. Faculty members are regularly sent abroad for presenting papers or to attend conferences. Faculty member desirous of going abroad for postdoctoral research are encouraged to do so by allowing them leave for this purpose. Faculty members can apply for postdoctoral program with full support from NUST and other sponsored programs.
In addition to all the above mentioned compelling packages, university provides access
to the digital resources to add value into the learning and research environment. The digital resources include publication from all academic institutes, consulting firms and books in the electronic form.
Motivation and Job Satisfaction:
Standard 6-3: All faculty members should be motivated and have job satisfaction to excel
in their profession.
Faculty input through a survey on programs for faculty motivation and job satisfaction is carried out. The purpose of this survey is to assess faculty members’ satisfaction level and the effectiveness of programs in place to help them progress and excel in their profession. The report of a survey is given in Criterion 1-4.
Criterion 7: Institutional Facilities
New Trends in Learning:
Standard 7-1: The institution must have the infrastructure to support new trends
in learning such as e-learning.
72
The faculty and students have access to computers and internet. The technical support personnel are readily accessible and work hard to troubleshoot and fix problems related with hardware and software. Printing and copying facilities are also available for the faculty members within the department. All of the above factors help in implementing modern trends in learning, including e-Learning.
Library Facilities:
Standard 7-2: The library must possess an up-to-date technical collection relevant to the
program and must be adequately staffed with professional personnel.
SNS has a library with covered area of 608 sqft. It has around 2150 hard copies of
books and about 2500 electronic copies of books. The library of SNS has a reasonable collection of books to meet the requirements of the School. The library not only provides course and reference books for the students but also maintains resources for the research students. Library staff comprises of an experienced Library Assistant who is assisted by one Library Attendant.
Library Equipment: -
(1) Photostat Machine – Nil (2) Personal Computer for online search – One (3) Personal Computer for Catalog Search – One (4) Personal Computer for CDROM Search – One (5) Dell Server – One (6) Laser Printer – One (7) Dot Matrix Printer – Nil (8) Scanner – Nil
Journals:- Subscription to following journals through online search access:
(1) Full Access of HEC digital library. (2) General Relativity and Gravitation from 2005-2007 in H/B.
Magazines:-
(1) National Geographic - Continue (2) Science Illustrated – 2012 editions (3) Physics Today – 2012 editions (4) American Physics – 2012 editions
Classrooms and Faculty Offices:
Standard 7-3: Classrooms must be adequately equipped and offices must be adequate to
enable faculty to carry out their responsibilities.
73
Classrooms Classrooms are equipped with adequate desks and chairs for students. All classrooms
are air conditioned. Most of the classrooms are equipped with computes, multimedia projects, slide screens, speakers and other educational aids. Each classroom also has a white board with adequate supply of markers and erasers. It is ensured that classrooms are properly ventilated and hygienically conditioned. Faculty Offices
Each faculty member at the School is allocated office space. Some faculty members are
allocated independent offices whereas others have shared offices. Due to the shortage of offices in the school, some faculty members are provided offices in other School of NUST. Each faculty member is provided a personal computer with internet connectivity. Individual desk space with regular supply of stationary is available. Printing facility is also provided to all faculty members.
Hostel Facilities NUST provides a reasonable hostel facility. Convocation Hall/ Auditorium: There is no auditorium in the School, however, NUST has an auditorium named as Jinnah Auditorium to organize convocations, seminars and other such activities. Sports Facilities: There are reasonable sports facilities available. Transport Facilities: NUST provides transportation to all willing students, faculty and staff. Medical Facilities: There is a medical centre in the campus where qualified doctors including a female doctor are available round the clock for necessary consultation and treatment.
Criterion 8: Institutional Support
Standard 8-1: There must be sufficient support and financial resources to attract
and retain high quality faculty and provide the means for them to maintain
competence as teachers and scholars.
In general, NUST has been successful in securing sufficient support and financial resources to attract excellent faculty members and to provide all possible means to maintain competence in teaching and scholarly work.
74
Faculty Retaining Measures
NUST has a good promotion policy so that a faculty member is promoted to the next rank soon after he/she becomes eligible.
NUST provides on campus accommodation to a large proportion of faculty members.
NUST provides on campus free outdoor medical facility and a comprehensive medical insurance policy.
NUST has introduced Gratuity and Defined Contribution Pension scheme for NUST contractual employees, as end of contract benefits.
On campus Day Care Center and Montessori School for children and pick and drop facility to in living who study in schools outside the campus.
Research Support
Standard 8-2: There must be adequate number of high quality graduate
students, research assistants and Ph.D.
Research Support is provided to all the students interested in research and development
activities in their areas of interest. This support includes funding for Fee Waiver / TVF for
Courses and Lab Demonstrations. NUST also provides NUST need base scholarships to a
large number of deserving students.
Standard 8-3: Financial resources must be provided to acquire and maintain
library holdings, laboratories and computing facilities.
Support and Facilities for the Faculty Computer Facilities are available to all faculty members Internet Facility is available to all faculty members in office and also WiFi. Technical Support is available in terms of System Administrator and lab technician. Secretarial Support is available to the head of the School. Office Equipment is adequately available in terms of stationary, printers, supplies, furniture, audio/video conferencing equipment, air conditioners and telephones. Graduate Students, Research Assistants and PhD Students
Year Graduate Students
PhDs Research Assistants
2004 0 0 0
2005 0 0 0
2006 0 0 0
2007 0 2 1
2008 0 0 9
2009 1 1 9
2010 6 3 6
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2011 3 4 7
2012 7 5 8
2013 26 1 5
2014 2 1 0
Current Graduate Student / Faculty Ratio is as per the NUST standards. Financial Resources for Library Financial resources for library, labs and computing facilities are excellent. The detailed list of library equipment was presented in Criterion 7. The following table presents the financial resources for library during the last three years:
Library Budget (Rs. in Millions)
2005-2006 2.0
2006-2007 1.5
2007-2008 1.0
The following is the list of computing facilities available in the School for students:
Lab Computers Laser Printer
Dot-matrix Printer
Color Plotter Type Qty
Central Physics Lab Dual Core 10 - - -
Departmental Physics Lab Dual Core 09 - - -
Under Graduate Computing Lab Core I-7 37 - - -
Research Cubicles (PhD Scholars) Dual Core 01 1 - -
Research Cubicles (MPhil Scholars) - M Core 2 Due 05 - - -
Research Cubicles (MPhil Scholars) - F Core 2 Due 05 - - -
Library Dual Core 04 1 - -
Laptops for Research Student Laptop 16 - - -
Criterion 9: Research, Development & Innovation Standard 9-1: The University should provide an environment which is
encouraging and conductive for the RD&I activities. Mention the institutional
facilities and incentives for the RD&I.
Research Support and Collaborations
SNS provides computer and internet facilities and relevant literature to its faculty and
students for research.
On publishing articles in journals, cases of relevant researches are recommended to
Research Dte. for publication reward.
76
Researchers are encouraged to develop research collaborations at national/international
levels. In this regard, different international collaborations have been developed. Details
are given in the following table:
S.
No.
MoU Signing Organizations Signing
Date
Expiry
Date
Visits (2014-15)
1. University of Witwatersrand,
Johannesburg, South Africa
01 July,
2011
30 June,
2015
(Renewal
under
process)
Prof. Asghar Qadir will visit University of
the Witwatersrand, Johannesburg, South
Africa during July 20 to August 30, 2015
vide NIO letter no. 0972/02/NUST/NIO
(IC) dated 29 May, 2015.
Support from NUST: Nil
Support from Wits, South Africa: Full
support
2. Department of Mathematics and
Physics “Ennio De Giogi”
University of Salento, Arnesano,
Lecce, Italy
July,
2012
11 July,
2016
Prof. Asghar Qadir will visit
Department of Mathematics & Physics
of Salento University, Lecce, Italy
during June 30 to July 18, 2015 vide
QA letter no. 0972/02/NUST/NIO (IC)
dated 29 May, 2015.
Support from NUST: Travel expenses
of Rs. 9,000/-
Support from Lecce, Italy:
Remaining full support
3. Research Institute for
Mathematical Sciences, Kyoto
University, Japan
17 Nov,
2011
16 Nov,
2016
4. Abdus Salam International Centre
for Theoretical Physics (AS-ICTP)
Italy
2 April,
2015
31 Dec,
2016 Dr. Shahid Iqbal visited Abdus Salam
International Centre for Theoretical
Physics (AS-ICTP), Italy during 08-21
February, 2015 vide QA letter no.
0972/02/NUST/NIO (IC) dated 2
December, 2014.
Support from NUST: Nil
Support from AS-ICTP, Italy: Full
support
Prof. Asghar Qadir, visited Abdus
Salam International Centre for
Theoretical Physics (AS-ICTP), Italy
during 23 June to 22 August, 2014 vide
vide QA letter no. 0972/02/NUST/QA
(IC) dated 15 May, 2014.
Support from NUST: Some local
travel support
Support from AS-ICTP, Italy:
77
Remaining full support
5. Yukawa Institute for Theoretical
Physics, Kyoto University, Japan
26 Dec,
2013
25 Dec,
2018
Dr. Mubasher Jamil visited Yukawa
Institute for Theoretical Physics, Kyoto
University, Kyoto, Japan during 18 August
to 20 September 2014 vide QA letter no.
0972/02/NUST/NIO dated 7 August, 2014.
Support from NUST: Nil
Support from Kyoto University,
Japan: Full support
6. Moulay Ismail University,
Marjane 2, BP: 298, Meknes,
Maroc
1
Februar
y, 2014
Indefinite
period
7. The Computer Simulation, Inje
University, Gimhae, Korea
Mar 19,
2015
18 March,
2019
8. School of Material Science and
Engineering, University of Science
and Technology, Beijing
July,
2014
Indefinite
period
Dr. Qurat Ul Ain visited University of
Science & Technology Beijing (USTB)
during 16 June – 15 July, 2014 vide QA
letter no. 0972/02/NUST/QA (IC) dated 9
June, 2014.
Support from NUST: Ticket (both
ways) & Living Allowance
Support from USTB, Beijing: Local
hospitality
S. No MoU Signing Organizations Date of Signing Expiry Date Remarks
1. Head School of Mining
Engineering (Wits Mining)
05 September
2012
2 nominees will
spend 6 months with
Wits Mining
Laboratories
Technicians in 2013
or 2014 at Wits
Mining
2. Abdus Salam International
Centre for Theoretical Physics
(As-ICTP) Italy
01 January 2010 31st December,
2012
3. Universita Del Salento (Formally
known as universita Di Lecce),
Italy
March 2007 March 2011
78
Standard 9-2: The faculty should publish their research in the journals of high
repute with high impact factor (ISI, Scopus Refereed) and present them in high
level conferences. Attach the detailed list of publication in international and
national journals and proceedings of the conferences.
Faculty of mathematics department at SNS, generally, publishes their work in ISI/Scopus
indexed journals. The detailed list of publication in international and national journals and
proceedings of the conferences is given in Annexure-E.
Standard 9-3: The faculty should encourage in collaborative research projects at
national and international level and have a detailed account of projects
(completed, on-going and submitted for funding).
Faculty of mathematics always tries to submit projects to different funding agencies. Detail of
completed, on-going and submitted and delayed projects is given in Tables 9-3.1, 9-3.2, 9-3.3
and 9-3.4.
Research Projects
Table 9-3.1: Project Proposals Submitted
S.
No
Project Title Name of PI Date of
Submission
Funding
Agency
Cost of
Project
Duration
of Project
1. Fractional Integral Transforms on
the Spaces of Generalized
Functions
Dr. Khaula
Naeem Khan
August 2011 HEC
(NRPU)
1.072
Millions
24 Months
2. Spacetimes Symmetries and
Symmetries of Differential
Equations
Dr. Tooba
Feroze
August 2011 HEC
(NRPU)
2.0786
Millions
18 Months
3. Fixed Point Theorems for Multi-
Valued Maps
Dr. Tayyab
Kamran
September
2011
HEC
(NRPU)
3.327
Millions
36 Months
4. Classification of Static Plane
Symmetric Spacetimes
Dr. Tooba
Feroze
April 2012 PSF 0.441
Millions
12 Months
5. Numerical Simulation for
Unsteady Compressible Flows
Dr.
Muhammad
Asif Farooq
November
2012
HEC
(IPFP)
0.5
Millions
9 Months
6. Certain Classes of Analytic
Functions Related with
Generalized Conic Domains
Dr. Fiaz
Amber
January
2013
HEC
(IPFP)
0.5
Millions
9 Months
79
7. Infinite Sums in a Multinormed
Space
Dr. Khaula
Naeem
August 2013 HEC
(NRPU)
0.9591
Millions
12 Months
8. A Study of Conserved Forms Dr. Tooba
Feroze
July 2013 HEC
(NRPU)
1.38805
Millions
12 Months
9. Graph Labelings and their
Application
Dr.
Muhammad
Imran
December
2013
ISESCO 10,000
US$
24 Months
Table 9-3.2: Completed Projects
Table 9-3.3: Ongoing Projects
S. No Project Title Name of PI Funded
By
Cost (in
Millions)
Progress
% age
Reasons
for Delay
Publicati
ons
1. Dark Energy and Cosmic
Accelerated Expansion
Dr.
Mubasher
Jamil
HEC
(NRPU)
1.819682 Completed Waiting
for
Installmen
4
S. No Project Title Name of PI Funded
By
Cost (in
Millions)
Progress
% age
Paper
Published
1. Homogenization in Underground
Flows
Dr.
Anvarbeck
Meirmanov
HEC
(FFHP)
1.000 Completed 1
2. Equilibrium and Dynamics of a
Non-isothermal Free Liquid Film
Dr.Vladislav
V.
Pukhnachev
HEC
(FFHP)
1.000 Completed 3
3. Modern Mathematical Analysis for
Phenomena of Anisotropic
Diffusion and Acoustic Wave
Propagation in Porous Media
Dr. Sergei
Sazhenkov
HEC
(FFHP)
1.000 Completed 3
4. Conformal Symmetries in General
Relativity
Dr. Khalid
Saifullah
HEC
(NRPU)
0.802 Completed 9
5. On Metric Dimension (Location
Number) of Connected Graphs
Dr.
Muhammad
Imran
HEC
(IPFP)
0.376
Completed 2
80
ts
2. Classification of Ordinary
Differential Equations by
Linearization and its
Generalizations
Prof. Asghar
Qadir
HEC
(NRPU)
1.000652 65%
3. Resolvability in Graphs
and its Applications
Dr.
Muhammad
Imran
HEC 1.502447 40%
Table 9-3.4: Delayed Projects
S. No Project Title Name of PI Funded
By
Cost (in
Millions)
Progress
% age
Reasons
for Delay
Paper
Published
1. Theoretical Studies of
General Relativity
Phenomena in Black
Holes & Gravitation
Lenses
Prof.
Alexander
Fyodorovich
Zakharov
HEC
(FFHP)
1.00
Completed PI left
Pakistan
3
2. Analysis of Novel
Electromagnetic
Metamaterials
Dr.
Muhammad
Raza
HEC
(IPFP)
0.45 Completed Funds not
received
0
3. Minimal Depth and
Trivial Modification
Dr.
Muhammad
Ishaq
HEC
(IPFP)
0.50 Completed Funds not
received
1
Standard 9-4: The department should support faculty in establishing university-
industry linkage and create patent. The relevant information be included in the
report.
Under Faculty Development Program, mathematics department encourages MS students to
complete their PhDs in industrial and financial mathematics