Math 23
Fall 2010
Differential Equations
Homework
This lecture plan is tentative and will be updated irregularly. 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 22, 2010 |
1.1, 1.2 and start 1.3 |
Differential equations, solution, direction fields |
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Thursday September 23, 2010 x-hour instead of the class on Thursday September 24,
2010 |
1.3, 2.1 |
Classification of differential equations, Linear and
Separable equations, integrating factors |
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Friday September 24 No class. Instead we have an x-hour on Thursday September
23, 2010 |
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Monday September 27 |
2.2, 2.4 |
Nonlinear equations, and more about |
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Wednesday September 29 |
2.3 |
Modeling with differential equations |
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Friday October 1 |
2.5, 2.6 |
Autonomous equations and population dynamics. Start Exact
equations. |
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Monday October 4 Note that Tuesday October 5 is the final day to establish
the course load |
2.6 |
Exact equations integrating factors |
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Wednesday October 6 Final day for electing to use the Non-Recording Option. |
3.1, 3.2 |
Homogeneous equations with constant coefficients, their
solutions, Wronskian |
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Friday October 8 |
3.3, 3.4 |
Complex roots, repeated roots |
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Monday October 11 |
3.4 |
Reduction of order |
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Wednesday October
13 |
3.5 |
Non-homogeneous equations, method of undetermined
coefficients |
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Friday October 15 |
3.6 |
Variation of parameter |
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Monday October 18 6-8 PM First Midterm Exam in Carpenter 013 |
3.7, 3.8 |
Mechanical and Electrical vibrations, forced vibrations |
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Wednesday October 20 |
4.1, 4.2 |
N-th order linear differential
equations, homogeneous equations with constant coefficients |
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Friday October 22 |
4.3 |
Method of undetermined coefficients |
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Monday October 25 |
5.1, 5.2 |
Powers series and series solutions near an ordinary point |
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Wednesday October 26 |
5.3, 5.4 |
Series solutions near an ordinary and near a regular
singular point |
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Thursday October 27 x-hour instead of the class on Friday October 28 |
7.1, 7.2 |
Introduction to systems of first order linear differential
equations, review of matricies |
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Friday October 28 No class. Instead we have an x-hour on Thursday October 27.
Have a nice homecoming weekend J |
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Monday November 1 Note that Tuesday November 2 is the final day for
dropping the fourth course |
7.3 |
Linear independence, eigen
values and eigen vectors |
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Wednesday November 3 |
7.4, 7.5 |
Some basic theory of systems of first order differential equations,
systems with constant coefficients |
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Friday November 5 |
7.6 |
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Monday November 8 6-8 PM Second Midterm Exam in Carpenter 013 |
7.8 |
Repeated eigen values |
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Wednesday November 10 |
10.1 |
Two point boundary value problem |
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Friday November 12 Final day to withdraw from a course |
10.2 |
Fourier Series |
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Monday November 15 |
10.3, 10.4 |
Fourier Convergence Theorem, Even and odd functions and
their Fourier series |
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Wednesday November
17 |
10.5 |
Separation of variables heat conduction in a rod |
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Thursday November 18 x-hour instead of the class on Friday November 19 |
10.6 |
Other heat conduction problems |
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Friday November 19 No class, instead we have an x-hour on Thursday November 18 |
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Monday November 22 |
10.6 |
Other heat conduction problems |
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Thanksgiving
recess: starts at 5:50 PM on Tuesday
November 23 and ends at 7:45 AM on Monday November 29 |
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Monday November 29 |
10.7 |
Wave equation |
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Wednesday December 1 |
Wrap up |
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Thursday December 2-Friday December 3 Pre-Examination Break |
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Math 23 Final
Exam is 8-11 AM Saturday December 4 in Kemeny 008 Final Examinations begin on Saturday December 4 and end
on Wednesday December 8 |
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