math in engineering foundation
TRANSCRIPT
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
Mathematics can not be learnt like other subjects
MA
TH
IS N
OT
DIFFIC
ULT
BU
T D
IFFER
EN
T
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
TOUGHTEACHERS
WEAKFOUNDATION
DIFFERENTSUBJECT
LIMITEDTIME
DIFFERENT SKILLS
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
MATH IS NOT FOR ME
I AM NOT FOR MATH
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
YOU CAN’T
H AT E M AT H E M AT I C S&
U N D E R S TA N D I T AT THE SAME TIMEThis Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
6 0 , 0 0 0 / 7 0 0 0 Y E A R S
Almost true …
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
ARITHMATIC ALGEBRA
CALCULATIONSCOMPUTING
MEASUREMENT
ANALYSIS
COUNTING
CALCULUS STATISTICS
S O C I A L D E V E L O P M E N T
NUMBERS
P R E H I S T O R I C I N F O R M A T I O NA G R I C U L T U R A L I N D U S T R I A L
GEO SPACE, SHAPES
LIVING HUNTING TRADING GOVERNANCE EMPIRESTRAVELLING RELIGION WAR INDUSTRY INFORMATION
FREQUENCY RATEANGLE CHANGEREPRESENTATION
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
AESTHETICSFUN
POWER LEAD
NEED
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
KNOWN
UNKNOWN
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
A LT E R N AT E
A N Y S I M I L A R T O O L S
I D E N T I F I C AT I O N
W H AT I S T H I S
W H Y I T W A S M A D E
P U R P O S E
H I S T O R Y
W H O M A D E I TP R O F E S S I O N W H O A R E T H E U S E R S
P R A C T I C E
H O W T O U S E T H I S
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
MATHEMATICS IS LIKE AN
“INTELLECTUAL TOOL BOX”
ENGINEERS NORMALLY USE THIS TO COMPUTECALCULATEESTIMATEPREDICTANALYZEFINDDETERMINE ETC
CALCULUS
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
PURPOSE
CUTTING
JOINING
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
REAL LIFE UNKNOWNS
AC
TU
AL W
OR
LD
INPUTS
FIND THESEUNKNOWNS
MIN
D W
OR
LD
OUTPUTS
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
C O M M U N I C A T I O N
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
O P I N I O N I S
A D D E D
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
A S A L A N G U A G EHIGHLY
OBJECTIVE
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
THIS SYMBOL ONLY REPRESENTS
HAPPENING OF SOMETHING“VERY RAPIDLY”
X
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
ex
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
M U C H
W I L LW A S
M A N Y
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
SEE THROUGH MATH
F O R B E T T E R U N D E R S TA N D I N G O N E H A S T O D E S C E N D T O
T H E A P P R O P R I AT E L AY E R
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
M U C HM A N Y
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
M U C H
W I L L
M A Y
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
0 10 20
MINS
1
2
FLOW
RA
TE
2.5
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
M U C H
W I L LW A S
M A N Y
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
MANY MUCH WILL WAS
( THOUGH IN-SEPERABLE)MANY- MUCH- WILL – WAS
KINDS, TYPES, COST, TIME, CAPACITY, DEPRECIATION ETC
GROW, BEHAVE, PERFORM, EMERGE, RESPOND, ENTAIL ETC
PERFORMANCE,CONFORMANCE ETC
ITEM (ENTITY)NOUN
VALUE (RELATION) PARAMETER (CHANGE)PROCESS
DATA (OCCURRED)
PRESENT PRESENT FUTURE PAST
IDENTIFICATION CALCULATION PREDICTIONS ANALYSIS
LANGUAGE, CONFLICT AVOIDANCE MECHANISM
ESTIMATING, CALCULATING FOR CONFLICT AVOIDANCE
ESTIMATING ,JUDGING, ASSESSING, PLANNING, KNOWING
JUDGING, FORECASTING
COUNTING COMPUTING DETERMINING ANALYZINGGROUPS, ITEMS, PARTS DERIVE UNKNOWNS FROM
KNOWNSKIND, MANNER, RATE
ETCPATTERN,
OCCURRENCES
CRITERION, PURPOSE FORMULAS HELP MORE VISUAL REPRESENTATION HELPS MORE
VISUALREPRESENTATION
HELPS MORE
NUMBERS, FRACTIONS, SETS
FORMULAS, EQUATIONS FUNCTIONS TABULATED DATA
AIRTHMETICSGEOMETRY
ALGEBRATRIGNOMETRY
CALCULUSLINEAR ALGEBRA
PROBABILITYSTATISTICSThis Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
MATHEMATICS
IMAGINATIONVISUALIZATION
THINKINGMATCHING
COMPARINGREPRESENTATION ETC
REUSEABLEFORMULAS
DISCOVERIES
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
1 2 3 4 5 6 7
1 2 3 4 5 6 7
O D D &
E V E N
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
MUSCLE POWER
C O N C R E T E U N D E R S T A N D I N G PURPOSE
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
PURPOSE
𝒆𝒙 = 𝟏 +𝒙
𝟏!+𝒙𝟐
𝟐!+
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
DOES THIS MAKE SENSE ?
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
WHAT ABOUT THIS?
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
60This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
61
Q&A
This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar