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1/23-1/27 |
1.1: Differential equations and mathematical models 1.2: Integrals as general and particular solutions 1.3: Slope fields and solution curves |
1.1: 26, 28, 34, 41 1.2: 16, 36, 42 1.3: 15, 22, 32 Solutions |
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1/30-2/3 |
1.4: Separable equations and applications 1.5: Linear first-order equations |
1.4: 3, 25, 30, 31, 64 1.5: 4, 23, 29, 38, 40 Solutions |
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2/6-2/10 |
1.6: Substitution methods and exact solutions |
1.6: 10, 16, 23, 29, 35, 36, 51, 59, 69, 71 Solutions |
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2/13-2/17 |
2.1: Population models 2.2: Equilibrium solutions and stability |
2.1: 3, 9, 22, 24, 26 2.2: 3, 4, 20, 21, 24 Solutions |
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2/21 |
Prelim 1 |
Solutions Histogram |
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2/20-2/24 |
2.3: Acceleration-velocity models 2.4: Numerical approximation: Euler's method |
2.3: 13, 14, 15, 16, 17 2.4: 2, 5 Solutions |
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2/27-3/3 |
2.5: A closer look at the Euler's method 2.6: The Runge-Kutta method |
2.5: 19, 23 2.6: 19, 23 Solutions |
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3/6-3/10 |
3.1: Introduction: second order linear equations 3.2: General solutions of linear equations |
3.1: 19, 21, 30, 31, 51 3.2: 14, 21, 28, 37, 38 Solutions |
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3/13-3/17 |
3.3: Homogeneous equations with constant coefficients 3.4: Mechanical vibrations |
3.3: 12, 30, 38, 42, 48 3.4: 3, 4, 5, 7, 8 Solutions |
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| Spring Break | ||||
3/27-3/31 |
3.5: Nonhomogeneous equations and undetermined coefficients 3.6: Forced oscillations and resonance |
3.5: 7, 18, 28, 36, 43, 63, 64 Solutions |
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4/4 |
Prelim 2 |
Solutions Histogram |
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4/3-4/7 |
3.7: Electrical circuits 3.8: Endpoint problems and eigenvalues |
3.6: 4, 16, 20, 21 3.7: 3, 4, 7, 21 Solutions |
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4/10-4/14 |
9.1: Periodic functions and trigonometric series 9.2: General Fourier series and convergence |
3.8: 7, 13, 16 9.1: 26, 27, 28, 29, 30 9.2: 17, 20, 25 Solutions |
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4/17-4/21 |
9.3: Fourier sine and cosine series 9.4: Applications of Fourier series |
9.3: 10, 16, 19, 20, 21, 22, 25 9.4: 9, 17 Solutions |
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4/24-4/28 |
9.5: Heat conduction and separation of variables 9.6: Vibrating strings and the one dimensional wave equation |
9.5: 15, 17, 19, 24 9.6: 13, 14, 15, 16, 19, 20 Solutions |
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5/1-5/5 |
9.7: Steady state temperature and Laplace's equation |
9.7: 4, 8, 13, 16, 22, 23 Solutions |