DESCRIPTION AND OBJECTIVES

This is the second course of the basic Calculus serving as the foundation of advanced subjects in all areas of Mathematics and Physics. The sequence, equally, emphasizes basic concepts and skills needed for physical manipulation. As continuation of Applications of Differentials, it focuses on the study of functions of a single variable.

Pre-Requisite

Applications of Differentials

INTENDED LEARNING OUTCOMES

This course is a continuation of Applications of Differentials. At the end of this course, students will be able understand basic tools of integration. They will be able to use integration in different physical problems like area, volume, etc.

COURSE CONTENTS

Integrals: Area between curves, Volumes, Work, Average Value of a Function. Techniques of Integration: Integration by parts, Trigonometric Integrals, Trigonometric Substitution, Integration of Rational Functions by Partial Fraction, Approximate Integration, Improper Integration. Further Applications of Integration: Arc Length, Area of a Surface of Revolution, Applications, Probability.

Recommended Books

1. Text Book: Calculus Early Transcendentals by James Stewart Brooks/Cole (7th and onwards editions)
2. Calculus: A New Horizon by Anton H., John Wiley, 6th ed. (1999).
3. Calculus by Thomas G.B., Finney A.R., Addison-Wesley, 10th ed. (2002).

ASSESSMENT CRITERIA

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam:   30

Final-Term Exam: 50

Key Dates and Time for Class Meeting

Monday to Tuesday: 09:00am -10:00pm (BS-II Regular)

Friday:                  11:00pm -12:00pm (BS-II Regular)

Commencement of Classes: March 02, 2020 (Monday)

Mid Term Examination: April 27 to May 04, 2020 (Monday to Monday)

Final Term Examination: Jun, 2020

Declaration of Result: July, 2020