PDF Math 202 (Calculus II) - Kau

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زيزعلادبع كلملا ةعماج

KING ABDULAZIZ UNIVERSITY

Math 202 (Calculus II)

Math 202 Calculus II

Credits Contact Hours 5 Theory Lab. Tut.

4 - 1

Course Summary

This course deals mainly with Integral Calculus. We cover Integrals, Applications of Integration, Techniques of Integration, and further applications of Integration to the Sciences and Engineering.

Prerequisites

^Math₁₁₀

Calculus I

Textbook

^J.Stewart ^Calculus,Transcendentals ^Early Seventh Edition.

International Metric Version,

Al-Shegrey Bookstore 2012

Objectives:

On completion of the course, the students should be able to

 Comprehend the connection between differential and integral calculus, and use of integrals to find the area bounded by curves.

 Calculate the volume of solids, lengths of plane curves, work done by a varying force, etc. by means a definite integral;

 Use exponential and logarithmic functions to describe exponential growth and decay in problems of applied nature;

 Evaluate the integrals using different techniques and integral formulae;

 Distinguish between proper and improper integrals;

 Perform numerical integration.

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Course description:

1. Integration

a. Sigma Notation

b. Areas and Distances

c. The Definite Integral d. The Fundamental Theorem of Calculus

e. Indefinite Integrals and the Net Change Theorem

f. The Substitution Rule

2. Applications of Integration

a. Areas between Curves

b. Volumes c. Volumes by Cylindrical Shells

d. Work

e. Average Value of a Function 3. Techniques of Integration

a. Integration by Parts

b. Trigonometric Integrals c. Trigonometric Substitution

d. Integration of Rational Functions by Partial Fractions e. Strategy for Integration f. Approximate Integration

g. Improper Integrals

4. Further Applications of Integration

a. Arc Length

b. Area of a Surface of Revolution

c. Applications to Physics and Engineering d. Applications to Economics and Biology e. Probability

Teaching Schedule:

Delivery Type Number Lecture Length

(hours) Student Hours

Lecture 39 1 39

Tutorial 13 1 13

Private Study Hours 117

Total Contact Hours 52

Total Hours 169

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Methods of Assessment:

1- Coursework

Assessment Type Notes (paper

HW/Online) % of Formal

Assessment

In-course Assessment Weekly online HW 10

Total Percentage 10

2- Exams

Assessment Type Notes (MCQ, etc.) % of Formal Assessment

First Exam MCQ 25

Second Exam MCQ 25

Final Exam MCQ 40

Total Percentage 90