Honors Calculus II
MAC 2312, Fall 2001
Text: Calculus: Single Variable, 2nd edition, Hughes-Hallett, Gleason, et al., John Wiley & Sons, 1998.
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Date |
Topic for the day |
Section |
Homework Assignment (to do after class) |
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F 24 Aug |
Discrete Probability |
Handout |
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M 27 Aug |
Probability and Geometric Series |
Handout |
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W 29 Aug |
Bayes Theorem |
Handout; Begin Project (Geometric Series) |
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F 31 Aug |
Partial Sums and Convergence |
9.4 |
1, 3, 9, 10, 14-19, 23 |
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M 3 Sept |
No Class |
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W 5 Sept |
Substitution |
7.1 |
1, 5, 9, 10, 12, 13, 14, 16-19, 21, 23, 26, 27, 29, 31, 39, 43, 44, 45 |
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F 7 Sept |
Substitution |
7.2 |
1, 3, 4, 6, 7, 10, 12, 15, 16, 18, 19, 21, 25, 31, 35, 39, 42 |
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M 10 Sept |
Integration by Parts |
7.3 |
1, 2, 3, 5, 7, 9, 13, 17, 19, 21, 27, 29, 31, 35, 37, 39, 48, 49, 52 |
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W 12 Sept |
Partial fractions, compl sq |
7.4 |
3, 5, 14, 22, 24, 25, 26, 27, 28, 34, 37, 38 |
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F 14 Sept |
Tables |
7.4 |
1, 2, 4, 6-11, 13, 17, 20, 33, 35, 40 |
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M 17 Sept |
Riemann Sums |
7.5 |
1-7, 9-13, 17, 18 |
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Simpson's Rule |
7.6 |
1, 3, 5, 7 |
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W 19 Sept |
Improper integrals |
7.7 |
1, 3, 5, 7, 9, 11, 15, 21, 22, 24, 25, 27, 32, 33 |
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F 21 Sept |
Improper ints, comparison |
7.8 |
1, 3, 5, 6, 7, 8, 9, 13, 16, 19, 23 |
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Chapter 7 Review |
1, 3, 5-7, 9-27odd, 30-33, 35, 38 |
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M 24 Sept |
DEs |
10.1 |
1-10 |
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W 26 Sept |
Gateway test |
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Review |
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F 28 Sept |
TEST 1 |
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M 1 Oct |
Slopefields |
10.2 |
1, 3, 4, 5, 6, 7 |
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W 3 Oct |
Introduction to Maple |
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Introduction to Maple Lab (Parts 1-9) |
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F 5 Oct |
Euler's Method |
10.3 |
Handout, 1, 3, 4, 5, 6, 8, 9, 10 |
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M 8 Oct |
Separation of Variables |
10.4 |
1, 2, 5, 6, 9, 10, 15, 16, 18, 19, 23, 25, 26, 33, 34, 35 |
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W 10 Oct |
Differential Equations Review |
Euler's Method Lab ; Begin Project (DEs and Modeling) |
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F 12 Oct |
Growth and Decay |
10.5 |
1-9, 13-15, 17, 19, 20, 22, 23 |
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M 15 Oct |
Modeling |
10.6 |
1, 2, 3, 5, 11, 13, 14, 18, 19-21 |
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W 17 Oct |
Logistic Growth Model |
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F 19 Oct |
Population Growth Models |
10.7 |
2, 3, 6, 7, 9, 17, 19 |
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Chapter 10 Review |
1-17 odd, 21, 22, 29, 31, 33, 34 |
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M 22 Oct |
Coalition Model |
Handout |
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Applications to geometry |
8.1 |
1-4, 6, 7, 9-13, 17, 19, 21 |
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W 24 Oct |
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F 26 Oct |
Riemann Sums |
8.2 |
1, 4, 5, 7, 9, 10, 14-16 |
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M 29 Oct |
Applications to physics |
8.3 |
2, 3, 5-9, 11, 12, 14-16, 18; OR? |
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Chapter 8 Review |
1-4, 7, 11, 12, 17, 21 |
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W 31 Oct |
Review |
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F 2 Nov |
TEST 2 |
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M 5 Nov |
Phase Plane |
p 572 |
p 576: 1-5, 7 |
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W 7 Nov |
SIR |
SIR Lab; Begin Project (Interactions) |
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F 9 Nov |
SIR/SIRS |
p 563 |
p 570: 1, 14-17; Handout |
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M 12 Nov |
Predator-Prey |
p 567 |
p 570: 2-7, 9, 10, 12 |
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Systems of DEs Review |
P 572: 18, 19, 21, 22, 23 |
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W 14 Nov |
Taylor Polynomials and Series |
9.1 |
3, 6, 11, 12, 13, 15, 17-20, 25, 27, 31 |
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F 16 Nov |
Power series |
9.2 |
1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 27-29 |
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M 19 Nov |
Using Taylor series |
9.3 |
1, 3, 5-7, 13, 23, 27, 30 |
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W 21 Nov |
Teaching evals, Taylor polys |
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F 23 Nov |
No Class - Happy Thanksgiving! |
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M 26 Nov |
Fourier Series (2 p) |
9.5 |
5-8, 10, 11, 18 |
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W 28 Nov |
Fourier Series (general) |
9.5 |
12, 13, 15, 17 |
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Chapter 9 Review |
11, 23, 24, 30; Section 9.5: 9, 16, 21 |
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F 30 Nov |
Review |
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M 3 Dec |
TEST 3 |
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W 5 Dec |
Review for Final |
Final Exam: Sunday, December 9th, 6:45 - 9:15 p.m.