Syllabus & Homework

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The following is a tentative syllabus for the course. This page will be updated as changes occur. It is highly recommended that you do the assigned homework before the next class. As shown below, homework will only be collected on Fridays.

Topic, Exercises

8/237.1Substitution
4, 12, 17, 19, 27
8/257.1Substitution cont'd
30, 36, 38, 49, 55, 59, 65, 72, 75(c), 84
8/287.2Integration by parts
3, 10, 12, 14, 16, 38, 39, 42, 52
8/297.2; 7.3More integration
7.224, 26, 36
7.36, 8, 10, 21, 34, 42, 44
8/307.4Partial fractions
3, 10, 11, 16, 18, 19, 35, 38, 49, 63
Exercises from 8/23 through 8/30 due on 9/1
9/17.4Partial fractions cont'd
20, 23, 24, 26, 28, 52, 56, 59, 64
9/47.5Approximating integrals
1, 2, 5, 7, 9, 10, 12, 13, 15, 16
9/5Integration bee
9/67.6Approximation errors and Simpson's rule
1, 2, 5, 6, 7, 8, 9
Exercises from 9/1 through 9/6 due on 9/8
9/87.7Improper integrals
1, 3, 9, 10, 12, 13, 15, 16, 17, 20
9/11 Review
9/12 Exam 1
9/137.7; 7.8Improper integrals and comparison of integrals
7.721, 23, 31, 32, 36
7.84, 9, 12, 14, 17
Exercises from 9/8 through 9/13 due on 9/15
9/157.8Comparison of integrals
11, 13, 16, 18, 21, 22, 23, 24, 28, 34
9/188.1Areas and volumes
3, 4, 7, 11, 12, 13, 14, 15, 16, 19
9/198.1Areas and volumes cont'd
8.120, 24, 25, 26, 28
8.24, 6, 19, 24, 33
9/208.2Applications to geometry
20, 22, 23, 25, 26, 27, 34, 35, 36 (Use TRAP)
Exercises from 9/15 through 9/20 due on 9/22
9/228.2More applications to geometry
11, 12, 14, 16, 17, 29, 31, 39, 40, 41
9/258.3Polar coordinates
2, 3, 6, 7, 10, 13, 14, 18, 19, 35
9/268.3Area in polar coordinates
12, 20, 21, 24, 25, 28, 29, 30
9/278.3Arc length and slope in polar coordinates
Sketch r=θ for 0 ≥ &theta &ge -3&pi
Sketch r=sin(θ/4) for 0 ≤ &theta &le 4&pi
31, 33 (will need to use solve feature on calculator), Sketch of 34's curve, 34, 36, 37, 38
Exercises from 9/22 through 9/27 due on 9/29
9/298.4Density
1, 2, 3, 5, 6, 9, 10, 12, 13, 14
10/2 Review
10/3 Exam 2
10/48.5Applications: Work
1, 2, 3, 4, 5, 6, 7, 8
Exercises from 9/29 through 10/4 due on 10/6
10/68.6More applications: Income Stream
1, 2, 6, 7, 8, 9, 10, 11, 12
10/99.1Sequences
11, 12, 16, 17, 24, 26, 28, 43, 48, 49, 54
10/109.2Geometric series
2, 3, 7, 10, 15, 17, 18, 20, 21, 30
10/119.2; 9.3Geometric series and convergence of series
9.225, 26, 31, 32
9.32, 3, 8, 13, 18, 19
Exercises from 10/6 through 10/11 due on 10/13
10/139.3Convergence of series
16, 17, 20, 22, 24, 28, 30 and these three problems
10/16 Fall recess
10/17 Fall recess
10/189.4Tests for convergence
3, 4, 5, 6, 9, 24, 25, 26, 28, 29, 30, 33
Exercises from 10/13 through 10/18 due on 10/20
10/209.4Tests for convergence cont'd
11, 12, 13, 14, 15, 34, 35, 42, 44, 48
10/239.4Tests for convergence cont'd
19, 20, 23, 38, 46, 47, 54, 56, 59, 60
10/249.4Tests for convergence cont'd
41, 43, 45, 49, 50, 51, 52, 53, 58, 62
10/259.5Power series and intervals of convergence
2, 3, 8, 11, 12, 13, 16, 17, 24, 27
Exercises from 10/20 through 10/25 due on 10/27
10/279.5More power series
22, 23, 25, 26, 28, 30, 31, 32, 35
10/30 Review
10/31 Exam 3
11/110.1Taylor polynomials
1, 5, 6, 13, 18, 19, 23, 24, 26, 33
Exercises from 10/27 through 11/1 due on 11/3
11/310.2Taylor series
7, 9, 10, 14, 19, 20, 23, 24, 26, 44
11/610.2Taylor series cont'd
4, 25(10 points), 28, 29, 32, 35, 36, 37, 38
11/710.3Using series
All without doing repeated differentiation: 2, 3, 6, 7, 11, 12, 14, 20, 22, 25
11/810.3Using series cont'd
10, 18, 23, 26, 27, 32, 33, 35
Exercises from 11/3 through 11/8 due on 11/10
11/1010.4Error
2, 4, 6, 9, 10, 11, 13, 14, 15, 19
11/1311.1Differential equations introduction
1, 3, 4, 5, 6, 7, 9, 13, 14, 15(10 points)
11/1411.2Slope fields
1, 2, 3, 4, 6, 8, 9, 10. You might want to print out this page
11/1511.3Euler's method
1, 2 (10 points), 3 (10 points), 5, 6 (10 points), 7
Exercises from 11/10 through 11/15 due on 11/17
11/1711.4Separation of variables
15, 21, 24, 34, 36, 39, 40, 41, 44, 45
11/20 Review
11/21 Exam 4
11/22 Thanksgiving recess
11/24 Thanksgiving recess
11/2711.5Growth and decay
1, 4, 10, 14, 15, 21, 22, 23
11/2811.6Applications and modeling
2, 7, 9, 14, 18, 20, 21, 24
11/29Appendix BComplex numbers
4, 6, 10, 12, 16, 17, 18, 26, 27, 39, 42
Exercises from 11/17 through 11/29 due on 12/1
12/1  Appendix B  Complex numbers cont'd
30, 32, 34, 35, 36, 40, 49
12/4TBDTBD
12/5 Review

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