Math 23
Fall 2011
Differential Equations
Syllabus
This lecture plan is tentative and will be updated irregularly. With strong likelihood some of the topics in the end of the syllabus will not be covered. 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 21, 2010 |
1.1, 1.2 and start 1.3 |
Differential equations, solution, direction fields |
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Friday September 23, 2010 |
1.3, 2.1 |
Classification of differential equations, Linear and Separable equations, integrating factors |
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Monday September 26 |
2.2, 2.4 |
Nonlinear equations, and more about |
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Wednesday September 28 |
2.3 |
Modeling with differential equations |
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Friday September 30 |
2.5, 2.6 |
Autonomous equations and population dynamics. Start Exact equations. |
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Monday October 3
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2.6 |
Exact equations integrating factors |
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Wednesday October 5 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 7 |
3.3, 3.4 |
Complex roots, repeated roots |
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Monday October 10 |
3.4 |
Reduction of order |
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Wednesday October 12
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3.5 |
Non-homogeneous equations, method of undetermined coefficients |
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Friday October 14 |
3.6 |
Variation of parameter |
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Monday October 17 6-8 PM First Midterm Exam in Silsby Room 028 |
3.7, 3.8 |
Mechanical and Electrical vibrations, forced vibrations |
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Wednesday October 19 |
4.1, 4.2 |
N-th order linear differential equations, homogeneous equations with constant coefficients |
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Thursday October 20 x-hour instead of the class on Friday October 21 |
4.3 |
Method of undetermined coefficients |
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Friday October 21 Homecoming weekend No class. Instead we will have an x-hour on Thursday October 20 |
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Monday October 24 |
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 Monday November 28 |
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Friday October 28 |
7.1, 7.2 |
Introduction to systems of first order linear differential equations, review of matricies |
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Monday October 31 Note that Tuesday November 1 is the final day for dropping the fourth course without the grade notation of W |
7.3 |
Linear independence, eigen values and eigen vectors |
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Wednesday November 2 |
7.4, 7.5 |
Some basic theory of systems of first order differential equations, systems with constant coefficients |
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Thursday November 3 x-hour possibly instead of one of the coming lectures |
7.6 |
Complex Eigen Values |
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Friday November 4 |
7.8 |
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Monday November 7 6-8 PM Second Midterm Exam in Silsby Room 028 |
10.1 |
Two point boundary value problem |
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Wednesday November 9 |
10.2 |
Fourier Series |
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Friday November 11 Final day to withdraw from a course |
10.3, 10.4 |
Fourier Convergence Theorem, Even and odd functions and their Fourier series |
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Monday November 14 |
10.5 |
Separation of variables heat conduction in a rod |
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Wednesday November 16 |
10.6 |
Other heat conduction problems |
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Friday November 18 Final day to alter the grade limit filed under the NRO |
10.6 |
Other heat conduction problems |
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Monday November 21 |
10.7 |
Wave equation |
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Thanksgiving recess: starts at 5:50 PM on Tuesday November 22 and ends at 7:45 AM on Monday November 28 |
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Monday November 28 No class. Instead we will have an x-hour on Thursday October 27 |
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Wednesday November 30 |
10.7 |
Wave equation |
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Thursday December 1-Friday December 2 Pre-Examination Break |
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Math 23 Final Exam is 8-11 AM Monday December 5 in Silsby 028 Final Examinations begin on Saturday December 3 and end on Wednesday December 7 |
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