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# MATH 152 - Suggested Homework Assignments

New Textbook: James Stewart: Calculus: Early Transcendentals. 8th Ed.

Note: The * indicates problems that may require a computer or graphing calculator.

### For Review

• Section 5.3 (The Fundamental Theorem of Calculus)
#3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 59, 61, 67, 69, 73, 75, 79, 83

### For The Course

• Section 5.5 (The substitution rule)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 79, 81, 85, 87, 93

• Section 6.1 (Areas between curves)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 35, 37

• Section 6.2 (Volumes)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 33, 39, 41, 47, 55, 57, 59

• Section 6.3 (Volumes by cylindrical shells)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 31, 37, 39, 41, 43, 45

• Section 6.4 (Work)
#1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27

• Section 7.1 (Integration by parts)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 33, 35, 37, 39, 41, 43, 55, 57, 65, 69, 71

• Section 7.2 (Trigonometric Integrals)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 57, 61, 63

• Section 7.3 (Trigonometric substitution)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

• Section 7.4 (Partial Fraction decomposition)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51

• Section 7.8 (Improper Integrals)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 49, 51, 53, 55, 57, 61

• Section 10.1 (Parametric Equations)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 33, 37, 41

• Section 10.2 (Calculus with Parametric Curves)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29, 33, 37, 39, 41, 43, 51, 53, 57, 59, 61, 65, 71

• Section 10.3 (Polar Coordinates)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 49, 51, 55, 57, 59, 61, 63, 65

• Section 10.4 (Areas and lengths in Polar Coordinates)
#1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 45, 47, 49, 51, 53

• Section 10.5 (Conic Sections)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 55, 57, 61

• Section 10.6 (Conic Sections in POlar Coordinates)

• Section 11.1 (Sequences)

• Section 11.2 (Series)

• Section 11.3 (Integral test and estimate of sums)

• Section 11.4 (Comparison tests)

• Section 11.5 (Alternating Series)

• Section 11.6 (Absolute Convergence and Ratio/Root tests)

• Section 11.8 (Power Series)

• Section 11.9 (Reprresenting Functions as Power Series)

• Section 11.10 (Taylor and Maclaurin Series)

• Section 11.11 (Applications of Taylor Polynomials)

Old Textbook: James Stewart: Calculus: Early Vectors

• Section 6.5 (u-sub)
# 5, 7, 11, 19, 27, 28, 33, 35, 37, 39, 43, 46, 47, 55, 58, 61, 65, 81

• Section 7.1 (Areas between curves)
# 1, 3, 7, 13, 17, 23, 25, 27, 31, 33, 35, 45*, 57

• Section 7.2 (Volume)
# 1, 3, 7, 9, 13, 17, 19, 20, 21, 22, 35, 45, 51, 56, 57, 58, 59, 61

• Section 7.3 (Volume by Cylindrical Shells)
# 1, 3, 5, 11, 17, 19, 25, 27, 29, 33, 34, 35, 37, 38, 41

• Section 7.4 (Work)
# 3, 5, 7, 11, 12, 13, 15, 17, 19, 20, 25

• Section 8.1 (Integration by parts)
# 3, 5, 11, 21, 25, 28, 29, 33, 41, 49, 51

• Section 8.2 (Trigonometric Integrals)
# 1, 3, 5, 15, 23, 29, 35, 49, 51*, 53

• Section 8.3 (Trigonometric Substitution)
# 3, 7, 9, 11, 17, 20, 21, 25, 27, 29(a)

• Section 8.4 (Partial Fraction decomposition)
# 1, 5, 9, 14, 15, 19, 21, 29, 31, 39, 43, 49, 62

• Section 8.9 (Improper Integrals)
# 1, 5, 7, 11, 19, 21, 27, 33, 41, 49, 51, 52, 53, 54, 55, 57, 58

• Section 9.3 (Arc Length)
# 3, 5, 7, 9, 10, 17

• Section 9.4 (Surface Area)
#1, 3, 8, 9, 11, 13, 23, 24, 27

• Section 10.1 (Sequences)
# 3, 5, 9, 11, 13, 21, 23, 27*, 31*, 37, 39, 43

• Section 10.2 (Series)
# 3, 5, 7, 11, 13, 14, 15, 19, 20, 21, 23, 31, 43, 49

• Section 10.3 (Integral and Comparison tests)
# 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27

• Section 10.4 (Other Convergence tests)
# 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 27, 31, 33

• Section 10.5 (Power Series)
# 3, 5, 7, 8, 9, 11, 13, 15, 17

• Section 10.6 (Representing functions as a Power Series)
# 3, 5, 7, 9, 11, 13, 15*, 19, 21, 23, 25

• Section 10.7 (Taylor and Maclaurin Series)
# 3, 5, 7, 9, 11, 17, 18, 21, 23*, 29, 33, 37, 39, 41

• Section 10.9 (Applications of Taylor Polynomials)
# 3, 5, 7, 9*, 11, 13, 17, 21, 23