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Students should use
ODTU-Class
The table below is a rough guideline for the content of course lectures. Professors may reorder their lectures as necessary/desired. Section and page numbers below are from the textbook, Elementary Differential Equations and Boundary Value Problems, Boyce and DiPrima, 9th ed., 2010.
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Week 1:
Oct.5-9 |
1 |
Introduction, Directional Fields Chapter 2. First Order Differential Equations §2.2: Separable equations (also homogeneous equations - see #30 on page 49). |
| 2 |
§2.1: Linear equations; Method of integrating factors. |
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Week 2:
Oct.12-16 |
3 |
§2.3: Modeling with first order equations (tank problems). |
| 4 |
§2.4: Differences between linear and nonlinear equations (existence and uniqueness theorems). §2.6: Exact equations and integrating factors. |
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Week 3:
Oct.19-23 |
5 |
Chapter 7. Systems of First Order Linear Equations §7.1: Introduction. §7.2: Review of matrices. |
| 6 |
§7.3: Systems of linear algebraic equations; Linear independence, eigenvalues, eigenvectors. |
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| Make-Up: Thursday lecture on Saturday, October 24 | ||
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Week 4:
Oct.26-30 |
7 |
§7.4: Basic theory of systems of first order linear equations. §7.5: Homogeneous linear systems with constant coefficients. |
| 8 |
§7.5: Homogeneous linear systems with constant coefficients (continued). §7.6: Complex eigenvalues. |
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| Holiday: Thursday, October 29 | ||
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Week 5:
Nov.2-6 |
9 |
§7.7: Fundamental matrices. |
| 10 |
§7.8: Repeated eigenvalues. §7.9: Nonhomogeneous linear systems (variation of parameters only). |
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Week 6:
Nov.9-13 |
11 |
Chapter 4. Higher Order Linear Equations §4.1: General theory of nth order linear equations. |
| 12 |
§4.2: Homogeneous equations with constant coefficients. |
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| Midterm 1: 9:40 on Sunday 15 November in SZ-08 and SZ-22--25 | ||
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Week 7:
Nov.16-20 |
13 |
Chapter 3. Second Order Linear Equations §3.2: Linear independence and the Wronskian. |
| 14 |
§3.3: Complex roots of the characteristic equation. |
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Week 8:
Nov.23-27 |
15 |
§3.4: Repeated roots; Reduction of order. |
| 16 |
§3.5: Nonhomogeneous equations; Method of undetermined coefficients. |
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Week 9:
Nov.30-Dec.4 |
17 |
§4.3: The method of undetermined coefficients. |
| 18 |
§3.6: Variation of parameters. |
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Week 10:
Dec.7-11 |
19 |
§3.7: Mechanical and electrical vibrations. |
| 20 |
§3.8: Forced Vibrations. |
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| Midterm 2: 9:40 on Sunday 13 December in S-121--124 and SZ-25 | ||
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Week 11:
Dec.14-18 |
21 |
Chapter 6. The Laplace Transform §6.1: Definition of the Laplace transform. §6.2: Solution of initial value problems. |
| 22 |
§6.3: Step functions. |
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| Make-Up: Wednesday lecture on Saturday, December 19 | ||
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Week 12:
Dec.21-25 |
23 |
§6.4: Differential equations with discontinuous forcing functions. |
| 24 |
§6.5: Impulse functions. §6.6: The convolution integral. |
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| Holiday: Wednesday, December 23 Make-Up: Friday lecture on Saturday, December 26 |
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Week 13:
Dec.28-Jan.1 |
25 |
Chapter 10. Partial Differential Equations and Fourier Series §10.A: Derivation of the Heat Conduction Equation. §10.1: Two-point boundary value problems. |
| 26 |
§10.2: Fourier series. §10.3: The Fourier convergence theorem (briefly). |
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| Holiday: Friday, January 1 | ||
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Week 14:
Jan.4-8 |
27 |
§10.4: Even and odd functions. |
| 28 |
§10.5: Separation of variables, heat conduction in a rod. |
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| FINAL EXAMS January 11 -- January 23 | ||