Math 23
Differential Equations
Tentative Lecture plan
This lecture plan is tentative and it will not be updated. The homework page will be updated on the regular basis
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Lectures |
Sections in Text |
Brief Description |
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Wednesday September 16 |
1.1, 1.2 and start 1.3 |
Differential equations, solution, direction fields |
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Friday September 18 |
1.3, 2.1 |
Classification of differential equations, Linear and Separable equations, integrating factors |
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Monday September 21 |
2.2, 2.4 |
Nonlinear equations, and more about |
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Wednesday September 23 |
2.3 |
Modeling with differential equations |
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Friday September 25 |
2.5, 2.6 |
Autonomous equations and population dynamics. Start Exact equations. |
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Monday September 28 |
2.6 |
Exact equations integrating factors |
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Wednesday September 30 |
3.1, 3.2 |
Homogeneous equations with constant coefficients, their solutions, Wronskian |
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Friday October 2 |
3.3, 3.4 |
Complex roots, repeated roots |
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Monday October 5 |
3.4 |
Reduction of order |
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Wednesday October 7 First Midterm is 6-8 PM on Thursday October 8 in Wilder 104 |
3.5 |
Non-homogeneous equations, method of undetermined coefficients |
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Friday October 9 |
3.6 |
Variation of parameter |
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Monday October 12 |
3.7, 3.8 |
Mechanical and Electrical vibrations, forced vibrations |
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Wednesday October 14 |
4.1, 4.2 |
N-th order linear differential equations, homogeneous equations with constant coefficients |
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Friday October 16 |
4.3 |
Method of undetermined coefficients |
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Monday October 19 |
4.4 |
Variation of parameter |
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Wednesday October 21 |
5.1, 5.2 |
Powers series and series solutions near an ordinary point |
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Friday October 23 |
5.3, 5.4 |
Series solutions near an ordinary and near a regular singular point |
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Saturday October 24 Special day of classes |
7.1, 7.2 |
Introduction to systems of first order linear differential equations, review of matricies |
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Monday October 26 |
7.3 |
Linear independence, eigen values and eigen vectors |
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Wednesday October 28 Second Midterm is 6-8 PM on Thursday October 29 in Wilder 104 |
7.4, 7.5 |
Some basic theory of systems of first order differential equations, systems with constant coefficients |
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Friday October 30 |
7.6 |
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Monday November 2 Tuesday November 3 Final day to withdraw from a course |
7.8 |
Repeated eigen values |
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Wednesday November 4 |
10.1 |
Two point boundary value problem |
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Friday November 6 |
10.2 |
Fourier Series |
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Monday November 9 |
10.3, 10.4 |
Fourier Convergence Theorem, Even and odd functions and their fourier series |
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Wednesday November 11 |
10.5 |
Separation of variables heat conduction in a rod |
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Friday November 13 |
10.6 |
Other heat conduction problems |
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Monday November 16 |
10.7 |
Wave equation |
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Wednesday November 18- Thursday November 19 Pre-Examination Break |
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Math 23 Final Exam is 3-6 PM on Friday November 20 in Kemeny 008 |
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