| 1 |
M |
25-Aug |
1.1 |
Review of basic concepts, Modeling |
1 |
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W |
27-Aug |
1.2 |
Solutions of ODEs: Qualitative analysis |
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1.2 |
8, 10, 15, 16-21, 24, 35, 38 |
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F |
29-Aug |
1.3 |
Separation of variables: Quantitative analysis |
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1.3 |
12, 20, 23, 33, 44, 59 |
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| 2 |
M |
1-Sep |
No Class |
Labor Day |
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W |
3-Sep |
1.4 |
Numerical Analysis: Euler's Method |
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1.4 |
1, 5, 8, 18 |
Solutions |
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F |
5-Sep |
1.5 |
Picard's Theorem |
2 |
1.5 |
4, 6, 23 |
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| 3 |
M |
8-Sep |
2.1 |
Linear equations |
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2.1 |
8, 30, 46 |
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W |
10-Sep |
2.2 |
First order linear ODEs |
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2.2 |
15, 20, 28, 39, 41 |
Solutions |
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F |
12-Sep |
2.2 |
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3 |
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| 4 |
M |
15-Sep |
2.3 |
Growth and Decay |
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2.3 |
6, 13, 22, 23, 33 |
Solutions |
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W |
17-Sep |
2.4 |
Mixing and Cooling |
4 |
2.4 |
7, 16, 21 |
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F |
19-Sep |
2.5 |
Nonlinear Models |
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2.5 |
6, 15, 16, 35 |
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| 5 |
M |
22-Sep |
2.6 |
Systems of ODEs |
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Solutions |
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W |
24-Sep |
Review |
Exam 1 (weeks 1-4) 7:15-8:45PM |
5 |
2.6 |
8, 16, 18 |
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F |
26-Sep |
3.1 |
Matrices |
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3.1 |
7, 9, 25, 27, 29, 61, 67 |
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| 6 |
M |
29-Sep |
3.2 |
Systems of linear equations |
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3.2 |
12, 18, 22, 31 |
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W |
1-Oct |
3.2 |
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Solutions |
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F |
3-Oct |
3.3 |
The inverse matrix |
6 |
3.3 |
8, 12, 21, 33, 34 |
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| 7 |
M |
6-Oct |
3.4 |
Determinants |
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3.4 |
3, 27, 32, 33 |
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W |
8-Oct |
3.5 |
Vector spaces and subspaces |
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Solutions |
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F |
10-Oct |
3.5 |
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7 |
3.5 |
15, 20, 38, 64 |
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| 8 |
M |
13-Oct |
3.6 |
Basis and dimension |
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3.6 |
22, 27, 32, 40, 50 |
Solutions |
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W |
15-Oct |
4.1 |
The harmonic oscillator |
8 |
4.1 |
3, 13, 30 |
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F |
17-Oct |
4.2 |
Real characteristic roots |
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4.2 |
7, 19, 24, 26, 41, 42, 46, 52 |
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| 9 |
M |
20-Oct |
4.2 |
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Solutions |
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W |
22-Oct |
Review |
Exam 2 (weeks 5-8) 7:15-8:45PM |
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F |
24-Oct |
4.3 |
Complex characteristic roots |
9 |
4.3 |
3, 16, 17, 31, 32, 60 |
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| 10 |
M |
27-Oct |
4.4 |
Undetermined coefficients |
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4.4 |
7, 18, 23, 29, 48 |
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W |
29-Oct |
4.5 |
Variation of parameters |
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Solutions |
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F |
31-Oct |
4.6 |
Forced oscillations |
10 |
4.5 |
4, 10, 11, 14 |
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| 11 |
M |
3-Nov |
4.6 |
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4.6 |
1, 4, 10, 18 |
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W |
5-Nov |
5.3 |
Eigenvalues and eigenvectors |
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Solutions |
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F |
7-Nov |
5.3 |
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11 |
5.3 |
7, 13, 23, 25, 44, 48, 63 |
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| 12 |
M |
10-Nov |
6.2 |
Linear systems with real eigenvalues |
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6.2 |
19, 22, 30, 41, 43 |
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W |
12-Nov |
6.2 |
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Solutions |
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F |
14-Nov |
6.3 |
Linear systems with nonreal eigenvalues |
12 |
6.3 |
11, 15, 35 |
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| 13 |
M |
17-Nov |
6.3/6.4 |
Stability and linear classification |
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Solutions |
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W |
19-Nov |
Review |
Exam 3 (weeks 9-12) 7:15-8:45PM |
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F |
21-Nov |
6.4 |
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13 |
6.4 |
2, 4, 8, 10 |
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| 14 |
M |
24-Nov |
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W |
26-Nov |
No Class |
Fall Break |
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F |
28-Nov |
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| 15 |
M |
1-Dec |
7.1 |
Nonlinear systems |
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7.1 |
14, 17, 20, 37 |
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W |
3-Dec |
7.1/7.2 |
Linearization |
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Solutions |
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F |
5-Dec |
7.2 |
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14 |
7.2 |
4, 8, 11, 12, 19 |
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| 16 |
M |
8-Dec |
7.2/7.4 |
Chaos |
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W |
10-Dec |
Review |
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Solutions |
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F |
12-Dec |
Review |
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15-Dec |
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Final exam (Comprehensive) 7:30-10:00PM |
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