Math1014 Practice Problems from Stewart's Calculus
Answers of odd problems available in the textbook.
- Week One
- 6.1. Areas between curves.
- odd problems: 3,
7, 9, 21, 23, 31, 35, 49, 53.
- even problems: 10, 20,
28, 46.
- 6.2. Volumes.
- odd problems: 3, 5,
11, 13, 23, 25, 45, 49, 51, 55, 57, 61, 69.
- even
problems: 6, 8, 12, 44,60, 66.
- Week Two
- 6.3. Volumes by cylindrical shells.
- odd problems: 1, 5, 9, 15, 43.
- even
problems: 2, 4, 14, 28, 48.
- 6.4. Work.
- odd problems: 3, 5, 7, 13, 15,
17, 23, 25, 29.
- even problems: 10, 16, 20.
- Week Three
- 6.5. Average value of a function.
- odd problems: 5, 7, 9, 13, 15, 17, 19.
- even problems: 16, 20,
22, 24, 26.
- 8.1. Arc length
- odd problems: 7, 13, 15, 21,
45.
- even problems: 4, 20, 44.
- 8.2. Area of a surface of revolution
- odd
problems: 7, 9, 15, 29, 37.
- even problems: 2,
16.
- Week Four
- 7.1. Integration by parts.
- odd
problems: 1, 3, 5, 7, 11, 15, 17, 29, 33, 49, 51, 61, 65, 73.
- even problems: 20, 26, 30, 34, 48, 50, 54, 58,70,
72.
- 7.2. Trigonometric integrals.
- odd problems: 5, 9, 13, 15, 17, 19, 25, 29, 31,
33, 41, 43.
- even problems: 4, 6, 10, 16, 44, 66, 68, 70.
- Week Five
- 7.3. Trigonometric substitution
- odd problems: 3, 5, 7, 9, 13, 19, 21, 23, 25, 41.
- even problems: 12, 18, 24, 30, 38, 40, 42, 44.
- 10.3. Polar Coordinates
- odd problems: 1, 3, 5, 11, 17, 23, 39, 43, 45,
47, 59, 63, 77.
- even problems: 16, 54, 62, 66.
- 10.4. Areas and lengths in polar coordinates
- odd problems: 5, 13, 27, 31, 35,
47, 49.
- even problems: 6, 12, 32, 44, 56.
- Week Six
- 7.4. Partial fractions
- odd problems: 9, 17,
19, 23, 37, 39, 47, 59, 61, 63.
- even problems: 20, 22, 42, 62.
- 7.5. Strategy for integration
- odd problems: 5, 7, 19, 31, 43, 65, 77, 81.
- even problems: 22, 36, 48, 70.
- Week Seven
- 7.7. Approximation Integration
- odd problems: 1, 3, 17, 29, 35, 37, 47.
- even problems: 2, 6, 22, 30, 40, 48.
- 7.8. Improper integrals
- odd problems: 1, 5, 7, 9, 11, 13, 15, 19, 21, 25, 29, 39, 51, 71,
73.
- even problems: 2, 8, 14, 26, 28, 36, 40, 50, 52, 62, 78.
- Week Eight
- 11.1. Sequences
- odd problems: 5, 7, 13, 15,
21, 23, 25, 33, 35, 37, 49, 65, 69, 73, 81, 91.
- even problems: 24, 28, 38, 68, 78,
80.
- 11.2. Infinite Series
- odd problems: 7, 11, 13, 15, 25, 27, 29, 37, 39, 47,
53, 59, 63, 89.
- even problems: 32, 34, 40, 50, 72,
82, 90, 92.
- 11.3. Integral tests
- odd problems: 1, 5,
7, 13, 17, 21, 27, 29, 37, 39.
- even problems: 6, 20, 22, 28,
34, 44.
- Week Nine
- 11.4. Comparison tests
- odd problems: 3, 5, 9, 15, 25, 31,37, 39,
43.
- even problems: 12, 20, 30, 32, 40, 46.
- 11.5. Alternting series
- odd problems: 3, 7, 13, 17, 23,
25, 31.
- even problems: 8, 14, 26, 32, 36.
- 11.6. Absolute convergence, ratio and root tests
- odd problems: 1, 3, 5, 13, 15, 23, 25, 35.
- even
problems: 8, 22, 28, 30, 32, 42, 50.
- Week Ten
- 11.7. Testing series
- odd problems: 3, 7, 9, 15, 23, 27, 33, 37.
- even problems: 8, 22, 28, 30, 36.
- 11.8. Power series
- odd problems: 5, 7, 13, 15, 17, 21, 23.
- even problems: 8, 12, 18, 22, 24, 42.
- 11.9. Representing of functions as power series
- odd problems: 5, 7,11,
17, 21, 23, 25, 29, 37, 41.
- even problems: 16, 30, 34, 40, 42.
- Week Eleven
- 11.10. Taylor and Maclaurin series
- odd problems: 5, 13, 25, 35, 43, 47, 53, 55, 69,
75.
- even problems: 6, 10, 28, 48, 68, 70,
78.
- 11.11. Applications of Taylor polynomials
- odd problems: 19, 25,29, 37.
- even problems: 36, 38.
- 12.1. Three-dimensional coordinate systems
- odd problems: 3, 5, 7, 9, 13, 17, 21, 41.
- even problems: 8, 14, 30, 42,
44.
- 12.2. Vectors
- odd problems: 1, 3, 7,11, 17, 21, 23, 25, 27, 31, 45, 47
- even problems: 32, 38, 48.
- Week Twelve to Thirteen
- 12.3. Dot product
- odd problems: 3, 7, 9,
15, 21, 23, 25, 31, 35, 41, 45, 49, 53.
- even problems: 10, 26, 28, 50, 52, 64.
- 12.4. Cross product
- odd problems: 3, 11, 13, 15, 19, 29, 33, 35, 37, 39, 45.
- even problems: 16,18, 38, 44, 46, 50, 52.