MATH102 CALCULUS AND ANALYTIC GEOMETRY

Spring 2014
MATH102 Calculus II Text

syllabus
Course Policy
WebAssign
Email Policy
Exam Rules
Course Policy

Textbook

Stewart, "Calculus", Metric Version, 7th Edition, (Brooks/Cole, 2012)
Program
Monday: 13.40-15.30 (B-Z08)
Wednesday:15.40-17.30 (B-Z08)
Exams : See Sylabus
• Syllabus : syllabus pdf file
• for exam places see
Quizes: : quiz1 , quiz2 , quiz3 , quiz4 , quiz5 , quiz6 , quiz7 , , quiz8

Suggested Exercises

Subjects Covered

1. February 9
• 7.7 Improper Integrals

2. February 16
• 8.1 Limits of Sequences
• 8.2 Subsequences, bounded sequences
3. February 23
• 8.3 Infinite series
4. March 1
• 8.4 Series of nonnegative terms
• 8.5 Alternating series, absolute and conditional convergence
Homework Set II ( pdf file of HW set 2 )
(due on March 10, 2004 before the first lecture hour)

1. Page 617 Exiecises 54,56
2. Page 618 Exercise 71,72
3. Page 626 Exercuse 9.a
4. Page 638 Exercises 56,58
5. Page 650 Exercises 68,70
6. Page 651 Exercise 76

5. March 8
• Power series
• Review
First midterm exam

6. March 15
• Maclaurin and Taylor series
• Aplications of Power series

Homework set III ( pdf file HW set 3 )
(due on March 24, 2004 before the first lecture hour)
1. Page 681 Exiecises 37,38
2. Page 691 Exercises 38,40
3. Page 691 Exercuse 49
4. Page 708 Exercises 36,38
5. Page 709 Exercises 61,64
6. Page 710 Exercise 105,106
7. Page 711 Exercise 107,108

7. March 22
• Functions of several variables (Ch. 11.1)
• Limits and Continuity in Higher Dimensions (Ch. 11.2)

8. March 29
• Continuity and Partial Derivatives (Ch. 11.3)
• The Chain Rule (Ch. 11.4)
Homework set IV
(due on April 8, 2004 before the first lecture hour)
1. Page 901 Exiecises 63,64. (9th Edition: page 932, prs: 63,64)
2. Page 901 Exercises 73-74. (9th Edition: page 933, prs: 73,74)
3. Page 909 Exercuses 13,14. (9th Edition: page 950, prs: 13,14)
4. Page 909 Exercises 37,38. (9th Edition: page 951, prs: 37,38)
5. Page 910 Exercises 45,46. (9th Edition: page 951, prs: 45,46)
6. Page 910 Exercises 49,50. (9th Edition: page 952, prs: 49,50)

9. April 5
• Directional Derivatives (Ch. 11. 5)
• Linearization and Differentials (Ch. 11. 6)

10. April 12
• Linearization and Differentials (Ch. 11.6)
• Extreme values and Saddle Points (Ch. 11.7)

Homework set V
(due on April 21, 2004 before the first lecture hour)
1. Page 945 Exiecise 21. (9th Edition: page 976, prs: 31)
2. Page 945 Exercises 24. (9th Edition: page 976, prs: 36)
3. Page 946 Exercuses 37,38. (9th Edition: page 976, prs: 49,50)
4. Page 956 Exercises 13,23. (9th Edition: page 987, prs: 13,23)
5. Page 970 Exercises 60,57. (9th Edition: page 995, prs: 34,31)
6. Page 972 Exercises 4,7a,7b. (9th Edition: page 998, prs: 4,7a,7b)

11 April 19
• Absolute Maximum and Minimum Points
• Lagrange Multiplier Method
• Double Integrals

12 April 26
• Double Integrals (Ch 12.1)
• Polar Coordinates and Calculus of Polar Curves (Ch 9.5-6)

13 May 3
• Double Integrals in Polar form (Ch 12.3)
• Substitutions Double Integrals (Ch 12.7)
• Arclength and unit tangent vectors (Ch. 10.6)
Homework set VI:
(due on May 12, 2004 before the first lecture hour)
1. Page 1005 Exiecise 22. (9th Edition: page 1025, pr: 22)
2. Page 1006 Exercise 37a,38. (9th Edition: page 1026, prs: 37a,38)
3. Page 1045 Exercuses 14. (9th Edition: page 1054, pr: 16)
4. Page 1048 Exercises 27. (9th Edition: page 1056, pr: 27)
5. Page 1050 Exercises 13. (9th Edition: page 1058, pr: 15)
6. Page 1050 Exercises 20,21. (9th Edition: page 1058, prs:28,29 )

14. May 10
• Line Integrals (Ch 13.1)
• Vector Fields, Work, Circulation, and Flux (Ch. 13.2)
• Path dependence, conservative vector fileds, potentials (Ch. 13.3)

15. May 17
• Green's Theorem in the plane (Ch 13.4)

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