Lecture Plan
The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
| Lectures | Sections in Text | Description | Practice Problems |
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Monday
March 26 |
1.1, 1.2 |
What are differential equations?
DirectionFields.nb |
§1.1: #1, 2, 26
§1.2: # 1(a), 2(a) KA - Differential equations intro KA - Slope fields & equations |
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Wednesday
March 28 |
1.3, 2.1 |
Classification and linear first-order ODEs
DirectionFields2.nb |
§2.1: #1, 9, 12 |
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Friday
March 30 |
2.2, 2.4 |
Separable equations and existence-uniqueness theorems
DirectionFields3.nb |
§2.2: #9, 11
§2.4: #3, 7, 11 KA - Separable equations KA - Exponential model equations |
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Monday
April 02 |
2.3 |
Modeling with differential equations
MixingPlot.nb , WorksheetSlopeFields.nb |
§2.3: Solve the IVPs in Examples 2 and 3
§2.3: #9, 10 KA-Write differential equations |
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Wednesday
April 04 |
2.5 | Autonomous equations and population dynamics |
§2.5: #9, 23
Review multivariable chain rule KA - Slope fields & solutions |
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Friday
April 06 |
2.6 |
Exact equations
LastExamplePlot.nb |
§2.6: #23, 26, 30, 31 |
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Monday
April 9 |
2.6 cont'd 3.1 |
Second order constant coefficient with distinct real roots; |
§3.1: #2, 4
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Wednesday
April 11 |
3.2, 3.3 |
the Wronskian, Complex conjugate roots SolutionPlots.nb |
§3.2: #2, 4, 14, 25
§3.3: #8, 27 |
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Friday
April 13 |
3.4 | Repeated roots and reduction of order | §3.4: #2, 16, 24 |
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Monday
April 16 |
3.5 | Method of undetermined coefficients | §3.5: #5, 19 |
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Wednesday
April 18 |
3.6 | Variation of parameters | §3.6: #9, 13 |
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Friday
April 20 |
6.1, 6.2 | Laplace Transform and the IVP | KA: Laplace transform intro
KA: Properties of the Laplace transform KA: Laplace transform to solve a differential equation |
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Monday
April 23 |
6.3, 6.4 | IVPs with discontinuous forcing functions | KA: Laplace/step function differential equation |
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Wednesday
April 25 |
6.5, 6.6 | Impulse Functions and the convolution integral | KA: The convolution integral |
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Friday
April 27 |
7.1, 7.2 | Review of matrices
Demo |
§7.1: #10, 14 |
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Monday
April 30 |
Review |
Review / Catch up |
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Wednesday May 02 |
Midterm |
Midterm 4:00 PM - 6:00 PM Murdough A02 Cook Auditorium. (from all covered sections before Chap 7) |
Past exams |
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Wednesday
May 02 |
7.3 | Review of matrices and systems of ODEs. | §7.3: #17, 18 |
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Friday
May 04 |
7.4 | Existence and uniqueness of solutions of systems of ODEs |
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Monday
May 07 |
7.5 |
Constant coefficients systems with distinct real eigenvalues Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb |
§7.5: #3, 12 |
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Wednesday
May 9 |
7.6 |
Constant coefficient systems with complex conjugate eigenvalues ComplexEigenPlot.nb |
§7.6: #2, 6 |
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Friday
May 11 |
7.6 cont'd + Linear Alg. |
Review of some facts from Linear Algebra |
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Monday
May 14 |
7.7 (part of) 7.8 |
Defective matrix case | §7.8: #1, 18 |
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Wednesday
May 16 |
7.8 cont'd |
Defective matrix case |
§7.8: # 19, 20, 21, 22 |
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Friday
May 18 |
10.1, 10.2 |
Boundary value problems; eigenfunctions, Fourier series |
§10.1: # 1, 5, 7, 11, 14, 15, 16 §10.2: # 7, 9, 10 |
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Monday
May 21 |
10.3 10.4 |
Fourier convergence theorem FourierPlots.nb Even and odd functions |
§10.3: # 1, 2, 5 §10.4: # 7, 17 |
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Wednesday
May 23 |
10.5 |
The heat equation HeatEqnPlot.nb |
§10.5: # 7, 9, 12 |
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Friday
May 25 |
10.7 |
Wave Equation |
§10.7: # 2a, 5a, 8a |
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Monday
May 28 |
No class! | Memorial day |
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Monday
May 30 | Review / Catch up |
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Friday, June 1, |
Final Exam |
Time: 11:30 AM Location: Carson L01 (from all covered sections) |
Past exams |