### Calculus and Analytical Geometry

UNIVERSITY OF SARGODHA

DEPARTMENT OF MATHEMATICS

COURSE OUTLINE Fall 2020

Course Tittle: Calculus and Analytical Geometry

Course Code: MATH-101

Credit Hours: 03

Email: [email protected]

DESCRIPTION & OBJECTIVES

To provide foundation and basic ground for calculus and analytical geometry background.

Recommended Books:

.Calculus and Analytic Geometry by George B. Thomas  and  Ross L. Finney, Addison Wesley; 10th  Edition (1995)  ISBN-10: 0201531747

REFERENCE MATERIAL:

. Calculus and Analytical Geometry by Swokowski, Olinick and Pence, 6th Edition, (1994), Brooks/Cole Publishers.

. Calculus by Howard Anton, Irl C. Bivens, Stephen Davis, Wiley; 10th  Edition (2012), ISBN-10: 0470647728.

. Calculus with Analytic Geometry: Student Solution Manual by Howard Anton, Wiley; 5th  Edition (1995). ISBN-10: 0471105899

CONTENTS

Real Numbers and the Real Line. Functions. Shifting Graps, Trigonometric Functions. Limits and Continuity. Tangent Lines. Differentiation Rules. Derivatives of Trigonometric Functions.  The Chain Rule. Implicit Differentiation and Rational Exponents. Applications of Derivatives. Integration. Numerical Integration.  Applications of Integrals. Transcendental Functions. Inverse Trigonomic Functions.  Derivatives of Inverse Trigonometric Functions. Integrals. Hyperbolic Functions. Conic Sections, Parametrized Curves, and Polar Coordinates. Vectors and Analytic Geometry in Space.

COURSE SCHEDULE

Week

## Dates

1.

Real Numbers and the Real Line,Functions and its type

Oct 26- 30, 2020

2.

Graps of functions,Shifting of graps

Nov 02- 06, 2020

3.

Trignometry Functions

Nov 09- 13, 2020

4.

Limit and continuity of function

Nov 16- 20, 2020

5.

Tangent lines ,Darivatives

Nov 23- 27, 2020

6.

Derivatives rules,Derivative of trigonometry functions

Nov 30- Dec 04, 2020

7.

The Chain rule,Implicit Diffrenciation  and Rational Exponent

Dec 07- 11, 2020

8.

Application of Darivative,Inverse trigonometry functions

Dec 14-18,2020

9.

Darivative of inverse trigonometry functions

Dec 21- 25, 2020

10.

Winter Breaks

Dec 28,2020-Jan 10, 2021

11.

Integral,Integration by parts

Jan 11- 15, 2021

12.

Mid Term Exam

Jan 18- 22,2021

13.

Integration of trignometry functions

Jan 25- 29, 2021

14.

Numerical Integration, Applications of integrals

Feb 01- 05, 2021

15.

Transcendental functions,Hyperbolic function,Conic function

Feb 08- 12, 2021

16.

Parametrized Curve and Polar Coordinates

Feb 15-19,2021

17.

Vectors and Analytical Geometry in Space

Feb 22-26,2021

18.

Final Term Exams

March 01-05,2021

RESEARCH PROJECT

N/A

ASSESSMENT CRITERIA

Mid exam: 30

Sessional: 20

Project: --

Assignments: 10

Presentation: 10

Final exam: 50

Total: 100

RULES AND REGULATIONS

75% attendance is compulsory to appear in Final Term exam.