| Week | Date | Section # | Lecture Topic | HW # | Assignments | Due Dates |
| 1 | Jan 14 | 1.1 |
Review of basic concepts: Roots of polynomials; differentiation; integration techniques Characterization of differential equations |
1 | ||
| Jan 16 |
1.2 | Solutions of ODEs: Qualitative analysis and direction fields Mathematica Example [sfe.nb] Matlab Example [sfe.m] |
1 | 7, 11, 14, 16-21, 23, 37, 38 |
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| Jan 18 |
1.3 | Separation of variables: Quantitative analysis | 1 | 15, 18, 24, 31, 43, 59 |
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| 2 | Jan 21 |
No Class | Martin Luther King, Jr. holiday | |||
| Jan 23 |
1.4 | Numerical Analysis: Euler's Method | 2 | 2, 3, 6, 17 | ||
| Jan 24 |
HW due in recitation
|
HW 1 | ||||
| Jan 25 |
1.5 | Picard's Theorem | 2 | 5, 6, 23 | ||
| 3 | Jan 28 |
2.1 | Linear equations | 2 | 6, 31, 45 | |
| Jan 30 |
2.2 | First order linear ODEs | 2 | 11, 19, 26, 37, 41 |
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| Feb 1 |
2.2 | |||||
| 4 | Feb 4 |
2.3 | Growth and Decay | 3 | 5, 13, 22, 29 |
|
| Feb 6 |
2.4 | Mixing and Cooling | 3 | 8, 15, 22 |
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| Feb 7 |
HW due in recitation
|
HW 2 | ||||
| Feb 8 |
2.5 | Nonlinear Models | 4 | 5, 15, 16, 30 |
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| 5 | Feb 11 |
2.6 | Systems of ODEs | 4 | 4, 14, 20 |
HW 3 |
| Feb 13 |
Review | Exam 1 (weeks 1-4) | ||||
| Feb 15 |
3.1 | Matrices | 4 | 8, 12, 27, 28, 61, 67 |
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| 6 | Feb 18 |
3.2 | Systems of linear equations | 5 | 11, 17, 23, 30 |
|
| Feb 20 |
3.2 | |||||
| Feb 22 |
3.3 | The inverse matrix | 5 | 11, 20, 32, 34 |
Lab 1 due | |
| 7 | Feb 25 |
3.4 | Determinants | 5 | 13, 28, 32 |
|
| Feb 27 |
3.5 | Vector spaces and subspaces | 5 | 15, 22, 38, 65 |
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| Feb 28 |
HW due in recitation
|
HW 4 | ||||
| Feb 29 | 3.5 | |||||
| 8 | Mar 3 |
3.6 | Basis and dimension | 5 | 25, 31, 39, 51 |
|
| Mar 5 |
4.1 | The harmonic oscillator | 6 | 2, 11, 29 |
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| Mar 6 |
HW due in recitation
|
HW 5 | ||||
| Mar 7 | 4.2 | Real characteristic roots | 6 | 11, 16, 25, 26, 40,46, 51 | ||
| 9 | Mar 10 |
4.2 | HW 6 | |||
| Mar 12 |
Review | Exam 2 (weeks 5-8) | ||||
| Mar 14 |
4.3 | Complex characteristic roots | 7 | 3, 16, 17,31, 32, 60 | ||
| 10 | Mar 17 |
4.4 | Undetermined coefficients | 7 | 5, 17, 24, 28, 47 | |
| Mar 19 |
4.5 | Variation of parameters | 7 | 8, 9, 11, 16 | ||
| Mar 21 |
4.6 | Forced oscillations | 7 | 3, 6, 10, 19 | ||
| 11 | Mar 24 | No Class | Spring Break | |||
| Mar 26 | No Class | Spring Break | ||||
| Mar 28 | No Class | Spring Break | ||||
| 12 | Mar 31 |
4.6 | Lab 2 due | |||
| Apr 2 |
5.3 | Eigenvalues and eigenvectors | 8 | 12, 15, 22, 24, 43, 46, 63 | ||
| Apr 3 |
HW due in recitation |
HW 7 | ||||
| Apr 4 |
5.3 | |||||
| 13 | Apr 7 |
6.2 | Linear systems with real eigenvalues | 8 | 20, 21, 31, 40, 42 | |
| Apr 9 |
6.2 | |||||
| Apr 11 |
6.3 | Linear systems with nonreal eigenvalues |
9 | 10, 16, 36 | ||
| 14 | Apr 14 |
6.3/6.4 | Stability and linear classification | HW 8 | ||
| Apr 16 |
Review | Exam 3 (weeks 9-13) | ||||
| Apr 18 |
6.4 | 9 | 4, 6, 8, 9 | |||
| 15 | Apr 21 |
7.1 | Nonlinear systems | 9 | 14, 18, 22, 36 | |
| Apr 23 |
7.1/7.2 | Linearization | ||||
| Apr 25 |
7.2 | 9 | 6, 9, 11, 12, 20 | Lab 3 due | ||
| 16 | Apr 28 |
7.2/7.4 | Chaos | |||
| Apr 30 |
Review | |||||
| May 1 |
HW due in recitation
|
HW 9 | ||||
| May 2 |
Review | |||||
| May 3 |
Final Exam | |||||