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)
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)
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)
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