UNIVERSITY OF SARGODHA

COURSE OUTLINE                                                                                                             Fall 2020

Course Tittle: Calculus and Analytical Geometry

Course Code: MATH-101

Credit Hours: 03

Instructor: FARYAL ANJUM

Email: [email protected]

DESCRIPTION & OBJECTIVES

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

READINGS

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

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.