Bronx Community College of the City University of New York

Department of Mathematics and Computer Science

SYLLABUS: Math 32  Calculus and Analytic Geometry II (4 credits/ 6 hours per week)

PREREQUISITE: Math 31 or equivalent

TEXT: Calculus (Fifth Edition) by James Stewart, published by Brooks/Cole.

Students who do not need Math 33 may use

Single Variable Calculus (Fifth Edition) by James Stewart, published by Brooks/Cole.

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SECTION TOPIC SUGGESTED EXERCISES

Chapter 6: Applications of Integration

6.1 Areas between Curves pg. 380: 127 odd

6.2 Volumes pg. 391: 117 odd, 3135 odd

6.3 Volumes by Cylindrical Shells pg. 396: 115 odd

Review pg. 406: 1, 7, 9, 15, 25

Chapter 7: Inverse Functions

7.1 Inverse Functions pg. 420: 116, 25, 27, 29, 35, 37

2. Exponential Functions and

Their Derivatives pg. 431: 1, 713 odd, 23, 25, 2941 odd

7.3 Logarithmic Functions pg. 439: 115 odd, 2937 odd

7.4 Derivatives of Logarithmic Functions pg. 449: 127 odd, 3949 odd, 6575 odd

7.5 Inverse Trigonometric Functions pg. 483: 513 odd, 2335 odd, 5969 odd

7.6 Hyperbolic Functions pg. 491: 717 odd, 23, 3147 odd, 5561 odd

7. Indeterminate Forms and

L'Hospital's Rule pg. 501: 14, 561 odd, 87, 88, 89

Review pg. 505: 5, 7, 1145 odd, 6371 odd, 9199 odd

Chapter 8: Techniques of Integration

8.1 Integration by Parts pg. 516: 135 odd, 4148

8.2 Trigonometric Integrals pg. 524: 127 odd, 65, 67

8.3 Trigonometric Substitution pg. 530: 129 odd

4. Integration of Rational Function pg. 540: 125 odd

by Partial Fractions

8.5 Strategy for Integration pg. 546: 125 odd, 4551 odd, 6773 odd

8.8 Improper Integrals pg. 573: 1, 527 odd

Review pg. 577: 125 odd, 4149 odd

Chapter 9: Further Applications of Integrals

9.1 Arc Length pg. 588: 515 odd,

9.2 Area of a Surface of Revolution pg. 595: 115 odd, 25

Chapter 11: Parametric Equations and Polar Coordinates

11.3 Polar Coordinates pg. 713: 111 odd, 1525 odd 2939 odd

11.4 Areas and lengths in Polar Coordinates pg. 719: 1331 odd

11.5 Conic Sections pg. 726: 129 odd, 33, 35, 39, 41, 45, 47

11.6 Conic Sections in Polar Coordinates pg. 731: 115 odd

Review pg. 733: 713 odd, 2937 odd, 4353 odd

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