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.