### Calculus-I MATH-6161

COURSE MATERIAL

INTRODUCTION TO COURSE

Introduce the students with basic concepts of limits, differentiation and integration.The purpose of this course is provide the necessary mathematical skills to pursue more advanced courses in economics. This course also features on techniques of Integration and applications of integrals. The course is devised to enhance the technical skills in the area of calculus which are used in almost all sub-disciplines of Economics.

COURSE PRE-REQUISITE

Prerequisites for calculus include courses typically called Algebra I (elementary algebra) and Algebra II (intermediate algebra), elementary geometry as well as an introductory analysis course usually called precalculus.

Course Contents:

1. Derivatives: Definitions, Techniques of Differentiation.

2. Differentiation of Polynomials, Rational, Exponential, Logrithmetic and Exponential functions.

3. Differentiation of trignometric functions, Inverse functions, The Chain Rule, Higher Order Differentiation.

4. Applications of Derivatives, Increasing and Decreasing functions.

5. Relative extrema and Optimization.

6. Integration and Definite Integrals.

7. Techniques of Evaluating Indefinite Integrals.

8. Integration by Substitution.

9. Integration by Parts, Change of Variables in Definite Integrals.

10. Applications of Integrals, Area between the curves.

11. Real Number Line.

12. Functions and their Graphs.

13. Solutions of Equations involving Absolute Values, Inequalities.

14. Limits and Continuity, Limit of a function, Left-hand and Right-hand Limits.

15. Continuity.

16. Curve Sketching, Rolles Theorem, The Mean Value Theorem.

17. Indeterminate forms and L'Hospitals Rule.

LEARNING OUTCOMES

Basic learning outcomes of Calculus I isto provide students an understanding of:

• Real line
• Functions and their graphs
• Limits and continuity
• Indeterminate forms and L'Hospitals Rule.
• Differentiation and Optimization
• Applications of Derivatives
• Integration
• Applications of Integration
• Curve Sketching, Rolles Theorem and The Mean Value Theorem

TEXT BOOKS

RECOMMENDED BOOKS:

1. Thomas, Calculus,(Addison Wesley Publishing Company, Latest Edition).

2. Anton H.,Bevens I., Davis H., Calculus,(John Wileyand Sons. Inc).

Suggested Books:

1. Kaseberg. IntermediateAlgebra, (Thomson Brooks/Cole, 2004).

2. Stewart J., Calculus, (Brooks/COLE)(Latest Edition).

SYSTEM OF EVALUATION

• Sessionsal Marks: 20% (1. Assignments 5%, 2. Quiz 5% 3. Class Attendance and Class Participation 10%)
• Mid Term Exams: 30%
• Final Term Exams: 50%

KEY DATES

COMMENCEMENT OF CLASSES: March, 02 2020.

MID TERM EXAMINATION: April 27 to May 04, 2020.

FINAL TERM EXAMINATION: June 22-26, 2020.

DECLARATION OF RESULT: July 03, 2020.

DATE AND TIME OF CLASSES

TIME TABLE

• Thursday (11:00 AM to 12:30 AM (Regular) and 4:00 PM to 5:30 PM  (Self Support))
• Friday (11:00 AM to 12:30 AM (Regular) and 4:00 PM to 5:30 PM  (Self Support))