Math 2410Q — Elementary Differential Equations
Spring 2012
Instructor Information
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Instructor: |
Ilke Canakci |
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Website: |
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Email: |
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Office: |
MSB 233 |
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Office Hours: |
Wed 10-11 am and
noon-1 pm, Th 12:50-1:50 pm, or by appointment. |
Course Information
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Section 003: |
TTh 2:00-3:15pm in MSB
215 |
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Course Text: |
Differential
Equations, third edition, by
Blanchard, Devaney, and Hall. |
Grading Breakdown
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Quizzes |
Weekly, on Thursdays. |
20% |
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Exam 1 |
Thursday, February 16. |
25% |
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Exam 2 |
Thursday, March 29. |
25% |
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Final Exam |
TBA |
30% |
Announcements
á
Click
here for take-home quiz 8. The deadline is April 19, 7pm.
á
The
final exam will be held in MSB 215 from 1:00 pm – 3:00 pm on 5/1/12.
á
The
review session for Exam 1 will be held in MSB 311 on February 14, Tu, from 5-8 pm.
Quiz Solutions
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Solution
to Exam
1 by Anna Sung
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Solution
to take-home quiz by Justin Morse Part 1 Part 2
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Solution to
quiz 5 by Anne Sung
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Solution
to quiz 4 by Justin Morse
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Solution
to quiz 3 by Anne Sung
Course Outline
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Section |
Title |
Suggested Problems |
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1.1 |
Modeling via
Differential Equations |
1.1.2-3, 1.1.5,
1.1.8-11 |
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1.2 |
Separation of
Variables |
1.2.1-35 (odd) |
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1.3 |
Slope Fields |
1.3.1, 1.3.6, 1.3.7,
1.4.8, 1.3.11, 1.3.14, 1.3.15, 1.3.18 |
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1.4 |
Euler's Method |
1.4.5-9, 1.4.11-12 |
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1.5 |
Existence and
Uniqueness of Solutions |
1.5.1, 1.5.4, 1.5.9,
1.5.11, 1.5.14 |
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1.6 |
Equilibria and Phase Lines |
1.6.1-37 (odd),
1.6.43 |
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1.7 |
Bifurcations |
1.7.1-15 (odd),
1.7.18-19 |
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1.8 |
Linear Equations |
1.8.1-24 |
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1.9 |
Integrating Factors
for Linear Equations |
1.9.1-27 |
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2.1 |
Modeling via Systems |
2.1.1-19 (odd) |
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2.2 |
Geometry of Systems |
2.2.1-19(odd) |
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2.3 |
Analytic Methods for
Special Systems |
2.3.1-4, 2.3.5-6,
2.3.15-19(odd) |
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2.4 |
Euler's Method for
Systems |
2.4.1-5(odd),
2.4.7-9 |
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3.1 |
Properties of Linear
Systems and the Linearity Principle |
3.1.1-33(odd) |
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3.2 |
Straight-Line
Solutions |
3.2.1-25(odd) |
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3.3 |
Linear Systems with
Real Eigenvalues |
3.3.1-19(odd) |
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3.4 |
Linear Systems with
Complex Eigenvalues |
3.4.1-13(odd),
3.4.16, 3.4.23 |
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3.5 |
Linear Systems with
Repeated and Zero Eigenvalues |
3.5.1-8(skip (e)),
3.5.11, 3.5.15, 3.5.17-19 |
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3.6 |
Second-Order Linear
Equations |
3.6.1-27 (odd),
3.6.32-33 |
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4.1 |
Forced Harmonic
Oscillators |
4.1.1-2, 4.1.5,
4.1.10(1,2), 4.1.11, 4.1.19-21 |
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4.2 |
Sinusoidal Forcing |
4.2.1, 4.2.3-4, 4.2.6,
4.2.12(1,2), 4.2.13, 4.2.15, 4.2.22 |
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6.1 |
Laplace Transforms |
6.1.1, 6.1.4, 6.1.6,
6.1.8, 6.1.10, 6.1.14-15, 6.1.17, 6.1.23 |
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6.2 |
Discontinuous
Functions |
6.2.1, 6.2.3, 6.2.6,
6.2.7, 6.2.9, 6.2.12, 6.2.14(1,2), 6.2.15 |
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6.3 |
Second-Order
Equations |
6.3.11, 6.3.13-17
(odd), 6.3.18, 6.3.27, 6.3.29-33 (odd) |
