Math 23 Winter 2006
Syllabus
This is a tentative syllabus. This page will be updated irregularly.
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Date |
section |
Description |
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Wednesday - January 4 |
1.1, 1.2, 1.3 |
Introduction; Classification of differential equations; Direction fields; |
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Friday January 6 No class. We will have an x-hour instead on
Thursday - January 12 |
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Saturday January 7 Special day of classes according to the
Registrar office. We do not have a
class. Instead we will have an x-hour on Thursday February 23 |
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Monday – January 9 |
2.2, 2.6 |
Separable and Exact Differential Equations |
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Wednesday – January 11 |
2.1, 2.4 |
Linear Equations; comparison to non-linear |
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Thursday – January 12 x-hour instead of the class on Friday- January - 6 |
2.3 |
Modeling with 1st order Differential Equations |
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Friday – January 13 |
3.1, 3.4, (3.5) |
Homogeneous equations with constant coefficients; Complex roots and repeated roots. |
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Monday – January 16 Martin Luther Kink Jr. day. No class. We
will have an x-hour instead on Thursday January 19 |
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Wednesday – January 18
|
3.2 |
Determinants and some linear algebra facts. Fundamental solutions |
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Thursday January 19 x-hour instead of the class on Friday- January - 16 |
3.2. 3.3 |
Linear independence and Wronskian |
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Friday – January 20 |
3.5 |
Reduction of order |
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Monday – January 23 |
3.6, 3.7 |
Nonhomogeneous equations, Undetermined coefficients; Variation of parameters |
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Wednesday – January 25 |
3.8, 3.9 |
Mechanical vibrations; Forced vibrations |
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Friday – January 27 |
7.1 |
Systems of differential equations |
|
Monday January 30 First Midterm exam |
7.2, 7.3 |
Matrices, eigen values, eigen vectors etc. |
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Wednesday - February 1 |
7.4 |
Systems of first order linear differential equations |
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Friday – February 3 |
7.5, 7.6 |
Systems of differential equations: real distinct and complex eigenvalues |
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Monday – February 6 |
7.6, 7.8 |
Systems of differential equations, complex and repeated real eigen values |
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Wednesday – February 8 |
7.5, 7.6, 7.8 |
Visualization techniques |
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Friday – February 10 Winter Carnival. No class. We will have an x-hour
instead on Thursday February 16 |
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Monday - February 13 |
2.5, 9.1 |
Critical points of autonomous 1st order differential equations; |
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Wednesday – February 15 |
9.2 |
Autonomous systems and stability |
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Thursday – February 16 x-hour instead of the class on February 10 |
5.1 |
Review of series |
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Friday - February 17 |
5.2 |
Series solutions, I |
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Monday – February 20 Second Midterm Exam 6-8 PM in Bradley 101 |
5.3 |
Series solutions, II |
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Wednesday – February 22 |
10.1 |
Two-point boundary value problems |
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Thursday – February 23- x-hour instead of the class on Saturday January 7. This also is the last day to withdraw from a course. |
10.2 |
Fourier series |
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Friday - February 24 |
10.3 |
Fourier convergence theorem |
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Monday - February 27 |
10.4 |
Fourier series: even and odd extensions |
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Wednesday – March 1 |
10.5 |
Heat equation; Separation of variables |
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Friday – March 3 |
10.6 |
Other heat equations: non homogeneous + insulated ends |
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Monday – March 6 |
10.6, 10.7 |
Heat equation, one rod-end insulated the other is kept at a fixed temperature. Wave equation. |
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Wednesday – March 8 |
10.7 |
Wave equation |
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Sunday March 12 Final Exam 11:30 AM-2:30 PM in Silsby 28 |
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