Techniques of integration

Techniques of integration (Math-5121)

For class BS-2

Course Introduction :

Techniques of integration is a course which enables the students to know that what is integration, how it can be used and what are it's applications. Many different techniques, rules, theorems and methods are used to solve integrals in this course.

Recommended Books :

1. Calculus Early Transcedentals by Stewart.

2. Calculus: A New Horizon. by H.Anton

3. Calculus by Thomas G.B.

Learning outcomes :

To learn the definite as well as indefinite integration and it's applicationsCOURSE 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.

System of Evaluation:

Sessional Marks: 20%

Class Attendance/Class Participation: 10%

Assignments: 5%

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.