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September, 2013

2nd Week 9-TWO DIMENSINALGEOMETRY

Basic ideas of lines

translation of axes

rotation of axes

translation &rotation equations3rd Week

Parabola

ellipse

hyperbola

hyperbola equations and tables

4th Week

General equation of 2nd degree

homogenous equation of 2nd degree

angle between lines

October, 2013

1st Week

Derivation of conics from general equation

Lines from homogenous equations.2nd Week

Solution of exercises

Sketches of conics.3rd Week

Polar coordinates

Conics in polar coordinates.4th Week

Relation between Cartesian & polar coordinatesEid-ul-Azha

November, 2013

1st Week

Exercises of polar coordinates2nd Week

10-THREE DIMENSIONAL GEOMETRY-1 Direction cosines

Direction ratios &angle between two lines in 3-D

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Volume of tetrahedran & related exercises.3rd Week

Plane

Equation of plane

Forms of equation of plane

Related exercises4th Week

The straight line

Forms of equation of straight line

Parallel & perpendicular lines

Collinear points

Related exercises.

December, 2013

1st Week

A line & a plane

Coplanar lines

Line parallel &perpendicular to plane

Some related exercises from exercise 10.4.2nd Week

Exercises of exercise 10.4

A review of chapter upto exercise 10.4.3rd Week

Shortest distance between two straight lines

Related exercises from exercise 10.5

Christmas Vacations

January, 2014

1st Week

Miscellaneous exercises 10.2nd Week

11-THREE DIMENSIONAL GEOMETRY Traces & intercepts Surface of revolutions

3rd Week & 4th Week

sphere & its equation.

February, 2014

1st Week

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Exercises on sphere2nd Week

Cylinder

Its equation &types of cylinder.3rd Week

The cone Quadric cones

Right circular cones

Exercises related to the topic.4th Week

Spherical trigonometry

Quadric surfaces.

March, 2014

1st Week

Revision of some important work from chapter 9,10,11.2nd Week

Some related work from chapter 12&chapter 4.3rd Week & 4th Week

Revision

Pre-University Exam

RESOURSES:

TEXT BOOK:

Calculus and Analytic geometry by Zia Ul Haq, Caravan book house Lahore

RFERENCE BOOKS:

Calculus by J. Marsden and A. Weinstein (Springer- Verlag)ISBN 0-387-96207-7

Advanced calculus by Wilfred Kaplan (5th edition) Publishing house of electronics

industry

Calculus by Thomas Finny (11th edition) ISBN13: 978-0321185587

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