INTRODUCTION TO COURSE:

The primary purpose of this course is to provide an approach for solving problems using integral calculus. The students will learn to use the techniques of Integration in several contexts, and to interpret the integral both as an anti derivative and as a limit of sum of products.

COURSE CONTENTS:

1. Integrals: Area between the curves.

2. Volumes, work, average value of functions.

3. Techniques of Integration, integration by parts.

4. Trigonometric integrals.

5. Trigonometric substitution.

6. Integration of rational functions by partial fractions.

7. Approximate integration.

8. Improper integration

9. Further applications of Integration.

10. Arc length.

11. Area of surface of revolution.

12. Application of Integration.

COURSE PRE-REQUISITE:

Prerequisities for Techniques Of Integration comprises of courses Algebra I (Elementary Algebra) and Algebra II (Intermediate Algebra) having contents Integration by parts, substitution, partial fraction, integration using trignometric identities and trignometric substitution.

LEARNING OUTCOMES:

Basic learning outcomes of Techniques Of Integration is to provide students an understanding of:

• Techniques Of Integration
• Applications of Integration
• Approximate Integration
• Volumes, works and Average value of functions
• Area of surface of Revolution

TEXT BOOKS:

RECOMMEND BOOKS:

1. Stewart, J., Calculus Early Transcendentals, 7th ed.

2. Thomas, G. B., Calculus, 12th ed. 

SYSTEM OF EVALUATION:

• Sessional Marks: 20%

1. Class Attendance/Class Participation: 10%
2. Assignments: 5%
3. Quiz: 5%

• Mid Term Exam: 30%
• Final Term Exam: 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:

• Monday (9:00 AM to 10:00 AM)
• Tuesday (9:00 AM to 10:00 AM)
• Wednesday (9:00 AM to 10:00 AM)