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Math 202 Syllabus

King Abdulaziz University [Department of Mathematics]

First semester (1438-1439). ( 2017-2018)

Textbook : Calculus Early Transcendentals, Seventh Edition, Author: James Stewart

Chapter Section

Lectures Extra

H.W Week Definitions & Theorems Examples H.W

Chapter 3

3.11

Hyperbolic Function ( 2 lectures )

Definition of the Hyperbolic functions, hyperbolic identities,

derivatives, inverse hyperbolic functions and their derivatives.

Tables 1to 6. Figures 1,2,3,8,9,10

2, 5.

1,3,20 30,38,42,

43

2,4,5,6 , 21 30- 39(odd) Chapter 4

4.4

Indeterminate forms and L’Hospital’s Rule

( 2 lectures )

All Forms 1-7 8,15,

29,49,54 7-53(odd) 4.9

Antiderivatives ( 1 lectures )

Antiderivative definition, theorem

1, table 2, 2-4 5,7,31 1-47 (odd)

Chapter 5

5.2

The Definite Integral ( 1 lectures )

Definition1 and 2, NOTE 1-2, figures 1-4. Theorem3. Properties

of the definite integral 1-8.

6,7,8 49

5.3

The Fundamental Theorem of Calculus

( 2 lectures )

Equation 1. The fundamental theorem of Calculus parts 1 & 2.

2,4,5,6,7,8, 9

7,11,17,19,35,4

4 7-43 (odd)

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5.4

Indefinite Integrals and the Net Change

Theorem ( 2 lectures )

Indefinite integral, table 1.

Applications pages 400,401: The net changes theorem

1-5

9,15, 17,33,35,

37

1-17 (odd) 21-43

(odd) 5.5

The Substitution Rule ( 3 lectures )

Equations 1,2,3 page 407. The substitution rule. The substitution

rule for definite integral.

Symmetry

1-11 11,17,21,24,

45,48,55,59 1-73 (odd)

Chapter 7 Techniques of

integration

7.1

Integration by Parts ( 3 lectures )

Equations 1, 2, 6 1,2,4,5 3,9,14,15,25,

37 1-41 (odd) 7.2

Trigonometric Integrals ( 3 lectures )

All cases 1-9 29,37,44 1-49 (odd)

7.3

Trigonometric Substitution ( 3 lectures )

All cases 1,3,4,5,7 13,24,27 1-29 (odd)

7.4

Integration of Rational function by Partial

Fractions ( 3 lectures )

All 1,2,3,5,7,9 9,19,23 1-3,

7-25

7.6

Integration Using Tables and Computer

Algebra System ( 1 lecture )

just the table 2-4 - 1-15 (odd)

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7.8

Improper Integrals ( 4 lectures )

Type 1 and 2. Test of convergence 1-10 1.313,14,25,33 5-39 (odd)

Chapter 6 Applications

of integrals

6.1

Areas Between Curves ( 2 lectures )

Definitions 1,2,5,6 1,3 1-11 (odd)

6.2 Volumes ( 2 lectures )

Definition of volume. Disk and

washer page 431 2,3,4,5,6 1,3,11,15 5-11

Chapter 8

Further Applications

of Integrations

8.1 Arc Length ( 2 lectures )

Arc length formulas 2-4

1 and 2 7,11,13,14 7-17

8.2

Area of a Surface of Revolution ( 2 lectures )

Formulas 5,6

1-2 10,13 5-11 (odd)

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تاجردلا عيزوت

ةداملا تابلاط عيمج ربتخي فوس و ةدحوم تارابتخا يئاهنلاو ثلاثلاو يناثلاو لولأا يرودلا رابتخا Math 202

سفنب و تقولا سفن يف

ةلئسلأا . [

1 ] لولأا يرودلا رابتخا ةجرد15

[ 2 ] يناثلا يرودلا رابتخا ةجرد15

[ 3 ] ثلاثلا يرودلا رابتخا ةجرد15

[ 4 ] هنسلا لامعأ ةكراشم

5

ةريصق تارابتخا 11

[ 5 ] يئاهنلا رابتخلاا 41

ةجرد

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