King Fahd University of Petroleum and Minerals
Department of Mathematical Science
SYLLABUS
Semester II, 20052006 (052)
(Coordinator: Dr. M. T. Mustafa)
Course #: 
Math 102 
Title: 
Calculus II 
Textbook: 
Calculus (Early Transcendentals): by H. Anton, I. Bivens, and S. Davis; Seventh edition (2002) 
Course Description: 
Definite and indefinite integrals. Fundamental Theorem of Calculus. Techniques of integration. Hyperbolic functions. Applications of integration. Improper integrals. Sequences and series: convergence tests. Alternating series. Absolute and conditional convergence. Power series. Taylor and Maclaurin series. 
Week 
Date 
Sec. # 
Topics 
1 
Feb 1216^{*} 
6.1 6.2 
An Overview of the Area Problem The Indefinite Integral: Integral Curves 
2 
Feb 1822 
6.3 6.4 
Integration by Substitution Sigma Notation: Area as a Limit 
3 
Feb 25Mar 1 
6.5 6.6 
The Definite Integral The Fundamental Theorem of Calculus 
4 
Mar 48 
6.7 6.8 6.9 
Average Value (pp. 434435 only) Evaluating Definite Integrals by Substitution Logarithmic Functions from the Integral Point of View 
5 
Mar 1115 
7.1 7.2 
Area Between Two Curves Volumes by Slicing: Disks and Washers 
Suggested Date for Major Exam I: Wednesday, March 22, 2006. 

6 
Mar 1822 
7.3 7.4 
Volumes by Cylindrical Shells Length of a Plane Curve 
7 
Mar 2529 
7.5 7.8 
Area of a Surface of Revolution Hyperbolic Functions and Hanging Cables(pp. 509513 only) 
Midterm Break: April 12, 2006 

8 
Apr 35 
8.2 8.3 
Integration by Parts Trigonometric Integrals 
9 
Apr 812 
8.4 8.5 
Trigonometric Substitutions Integrating Rational Functions by Partial Fractions 
10 
Apr 1519 
8.6 8.8 
Special Substitutions (pp. 558560 only) Improper Integrals 
Suggested Date for Major Exam II: Wednesday, April 26, 2006. 

11 
Apr 2226 
10.2 10.3 
Sequences Monotone Sequences 
12 
Apr 29May 3 
10.4 10.5 
Infinite Series Convergence Tests 
13 
May 610 
10.6 10.7 
The Comparison, Ratio and Root Tests Alternating Series; Conditional Convergence 
14 
May 1317 
10.1 10.8 
Maclaurin and Taylor Polynomial Approx. (till p. 644) Maclaurin and Taylor Series; Power Series 
15 
May 2024 
10.9 10.10 
The Binomial Series & Table 10.9.1 (pp. 707708 only) Differentiating and Integrating Power Series 
16 
May 2728 

Review 
* Normal Saturday classes on February 16.
§ 
Students are advised to go over Sec. 8.1 before the start of Chapter 8. 
§ 
The Suggested dates for Major Exams I and II are set by the College of Sciences to avoid conflicts with other exams. 
§ 
The date, time and the place of the Final Examination will be announced by the Registrar. The Final Exam will be Comprehensive. 
§ 
KFUPM policy with respect to attendance (lectures and recitations) will be strictly enforced. 
§ 
See the following page for “Homework and Recitation Problems”. 
Suggested Homework and Recitation Problems
Sec. # 
Suggested Homework Problems 
Suggested Recitation Problems 
6.1 
2,,11,16 
6,14,18 
6.2 
8(a,b),13,18,23,29,32,34,44,48,54 
7(c),25,27,33,42(b,c),46,49,55(b) 
6.3 
4,12,18,25,26,30,42,47,52,54(a,b) 
6,15,23,40,48,67 
6.4 
2(a,b,e),7,10(b,c),12,18,24,30,42,54 
10(a,d),15,20,26,44,49,55(a) 
6.5 
2,6,10(b),16(c),20,22(a),24(b),28 
4,8,14,19,22(b),26,32 
6.6 
4,13,22,24,31,39,50,54,60(a) 
8,23,26,32,41,55,61 
6.7 
57,60 
59 
6.8 
4,9,17,20,28,38,45,55,70(a) 
12,15,21,26,50,69 
6.9 
2,4(b,c),10,12,18,25,32,42 
3(a,b),16,22(b),39 


7.1 
3,8,13,18,31,44 
6,14,32,36 
7.2 
4,12,14,23,30,31,37 
9,25,29,32,39 
7.3 
2,6,16,21,28 
4,8,24 
7.4 
8,10,14 
4,12 
7.5 
2,7,18,21,24 
8,23,25 
7.8 
4,5(a),12,17,32,37,50 
3,16,33,38,67 


8.2 
2,7,14,18,23,28,38,41(a),46,54(a) 
12,21,24,27,36,41(b),58(a) 
8.3 
8,11,14,19,30,41,51,61 
15,32,44,50,64 
8.4 
2,10,14,24,41,44 
8,20,42,45 
8.5 
3,11,21,32,34 
12,30,33,41 
8.6 
56,61,68,72 
62,64,70 
8.8 
1,6,9,16,18,26,31,43,52,63 
4,15,24,33,62 


10.2 
2,6,10,11,20,21,26,30,37,40 
8,12,16,22,36,39 
10.3 
5,10,15,23 
11,17,22,27 
10.4 
2,5,8,13,17,23(a),24(c),25(a),27 
9,14,20,23(b),25(b),26,30 
10.5 
2,4,5(a,d),7(b),12,22,25,29(a,b) 
3(b),5(d),9,14,19,21,29(c) 
10.6 
3(a),4(a),9,12,17,29,32,38,43 
3(b),6,16,20,28,40,42 
10.7 
5,9,14,22,26,33,46 
6,12,17,30 
10.1 
3,10,14,22,24,25,34 
11,12,18,21,26,35 
10.8 
2,5,16,17,22,23,29,30,35,44,47,53 
10,18,20,28,38,48 
10.9 
17(b,c) 
17(a) 
10.10 
2(c,d),6(d),7(a),9(b),11,15,25,28(a),33(a,b) 
8,10,16,26,34(b) 
The students are strongly urged to solve much more problems than the homework and recitation problems listed above. They are also advised to attempt the recitation problems before attending the recitation sessions. 
King Fahd University of Petroleum and Minerals
Department of Mathematical Science
SYLLABUS
Semester II, 20052006 (052)
(Coordinator: Dr. M. T. Mustafa)
Course #: 
Math 102 
Title: 
Calculus II 
Textbook: 
Calculus (Early Transcendentals): by H. Anton, I. Bivens, and S. Davis; Eighth edition (2005) 
Course Description: 
Definite and indefinite integrals. Fundamental Theorem of Calculus. Techniques of integration. Hyperbolic functions. Applications of integration. Improper integrals. Sequences and series: convergence tests. Alternating series. Absolute and conditional convergence. Power series. Taylor and Maclaurin series. 
Week 
Date 
Sec. # 
Topics 
1 
Feb 1216^{*} 
6.1 6.2 
An Overview of the Area Problem The Indefinite Integral 
2 
Feb 1822 
6.3 6.4 
Integration by Substitution Area as a Limit: Sigma Notation 
3 
Feb 25Mar 1 
6.5 6.6 
The Definite Integral The Fundamental Theorem of Calculus 
4 
Mar 48 
7.6 6.8 6.9 
Average Value of a function(pp. 476478 only) Evaluating Definite Integrals by Substitution Logarithmic Functions from the Integral Point of View 
5 
Mar 1115 
7.1 7.2 
Area Between Two Curves Volumes by Slicing: Disks and Washers 
Suggested Date for Major Exam I: Wednesday, March 22, 2006. 

6 
Mar 1822 
7.3 7.4 
Volumes by Cylindrical Shells Length of a Plane Curve 
7 
Mar 2529 
7.5 7.9 
Area of a Surface of Revolution Hyperbolic Functions and Hanging Cables(pp. 496500 only) 
Midterm Break: April 12, 2006 

8 
Apr 35 
8.2 8.3 
Integration by Parts Trigonometric Integrals 
9 
Apr 812 
8.4 8.5 
Trigonometric Substitutions Integrating Rational Functions by Partial Fractions 
10 
Apr 1519 
8.6 8.8 
Special Substitutions (pp. 548550 only) Improper Integrals 
Suggested Date for Major Exam II: Wednesday, April 26, 2006. 

11 
Apr 2226 
10.1 10.2 
Sequences Monotone Sequences 
12 
Apr 29May 3 
10.3 10.4 
Infinite Series Convergence Tests 
13 
May 610 
10.5 10.6 
The Comparison, Ratio and Root Tests Alternating Series; Conditional Convergence 
14 
May 1317 
10.7 10.8 
Maclaurin and Taylor Polynomial (till p. 682) Maclaurin and Taylor Series; Power Series 
15 
May 2024 
10.9 10.10 
The Binomial Series & Table 10.9.1 (pp. 700701 only) Differentiating and Integrating Power Series 
16 
May 2728 

Review 
* Normal Saturday classes on February 16.
§ 
Students are advised to go over Sec. 8.1 before the start of Chapter 8. 
§ 
The Suggested dates for Major Exams I and II are set by the College of Sciences to avoid conflicts with other exams. 
§ 
The date, time and the place of the Final Examination will be announced by the Registrar. The Final Exam will be Comprehensive. 
§ 
KFUPM policy with respect to attendance (lectures and recitations) will be strictly enforced. 
§ 
See the following page for “Homework and Recitation Problems”. 
Suggested Homework and Recitation Problems
Sec. # 
Suggested Homework Problems 
Suggested Recitation Problems 
6.1 
2,,15,20 
6,18,26 
6.2 
10(a,b),15,20,25,31,34,36,44,48,62 
9(c),27,29,35,42(b,c),46,49,63(b) 
6.3 
4,14,20,27,28,32,44,49,54,56(a,b) 
6,17,25,42,50,69 
6.4 
2(a,b,e),7,10(b,c),12,18,24,32,44,58 
10(a,d),15,20,26,46,53,59(a) 
6.5 
2,6,10(b),16(c),22,26,28(b),32 
4,8,14,21,24,30,38 
6.6 
4,13,22,24,31,39,56,60,66(a) 
8,23,26,32,41,61,67 
7.6 
5,8 
7 
6.8 
4,9,17,20,28,34,41,51,64(a) 
12,15,21,26,46,63 
6.9 
2,4(b,c),10,12,18,25,32,42 
3(a,b),16,22(b),39 


7.1 
3,8,13,18,31,46 
6,14,32,44 
7.2 
4,12,14,23,30,35,41 
9,25,29,36,43 
7.3 
2,6,16,24,30 
4,8,26 
7.4 
8,10,14 
4,12 
7.5 
2,7,20,29,32 
8,31,33 
7.9 
4,5(a),12,17,32,37,50 
3,16,33,38,68 


8.2 
2,7,14,18,23,28,38,41(a),46,56(a) 
12,21,24,27,36,41(b),60(a) 
8.3 
8,11,14,19,30,42,51,61 
15,32,44,50,64 
8.4 
2,10,14,24,39,42 
8,20,40,43 
8.5 
3,11,21,32,34 
12,30,33,41 
8.6 
56,61,66,69 
62,64,68 
8.8 
1,6,9,16,18,26,31,43,52,63 
4,15,24,33,62 


10.1 
2,6,10,11,20,21,26,30,39,42 
8,12,16,22,38,41 
10.2 
5,10,15,23 
11,17,22,28 
10.3 
2,5,8,13,17,25(a),26(c),27(a),31 
9,14,20,25(b),27(b),28,30 
10.4 
2,4,5(a,d),7(b),12,22,25,29(a,b) 
3(b),5(d),9,14,19,21,30(a) 
10.5 
3(a),4(a),9,12,17,29,32,38,43 
3(b),6,16,20,28,40,42 
10.6 
5,9,14,22,26,33,48 
6,12,17,30 
10.7 
3,10,14,22,24,25,36 
11,12,18,21,26,33 
10.8 
2,5,16,17,22,23,29,30,35,44,47,57 
10,18,20,28,38,48 
10.9 
17(b,c) 
17(a) 
10.10 
2(c,d),6(d),7(a),9(b),11,15,25,28(a),34(a,b) 
8,10,16,26,35(b) 
The students are strongly urged to solve much more problems than the homework and recitation problems listed above. They are also advised to attempt the recitation problems before attending the recitation sessions. 