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21-260 Differential Equations |
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Schedule and Homework
For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.
| Week #1:
Aug 24 - 28 Homework |
M: Introduction to Differential Equations. (1.1, 1.3)
W: Seperable Equations. (2.2, 1.1) F: Mathematical Modeling. (2.3) |
| Week #2:
Aug 31 - Sep 4 Homework |
M: Linear First Order Differential
Equations. (2.1)
W: Existence and Uniqueness Theorems. (2.4, 2.8) F: Autonomous Differential Equations and Population Modeling. (2.5) |
| Week #3:
Sep 7 - 11 Homework |
M: Labor Day. No Class.
W: Euler's Method. (2.7) F: Systems of First Order Equations. (7.1) |
| Week #4:
Sep 14 - 18 Homework |
M: Vectors and Matrices. (7.2)
W: Systems of Algebraic Equations. (7.3) F: Linear Independence of Vectors. (7.3) |
| Week #5:
Sep 21 - 25 review problems |
M: Exam #1 will be given on Monday 21
September.
W: Eigenvalues and Eigenvectors. (7.3) F: Homogeneous Linear Systems with Constant Coefficients. (7.5) |
| Week #6:
Sep 28 - Oct 2 Homework |
M: The Phase Plane and Linear Systems. (9.1)
W: Basic Theory of First Order Linear Systems. (7.4) F: Systems with Complex Eigenvalues. (7.6) |
| Week #7:
Oct 5 - 9 Homework |
M: Systems with Repeted Eigenvalues. (7.8)
W: Stability of Equilibria (9.1 revisited) F: Linear Equations and Linear Systems. (3.1) |
| Week #8:
Oct 12 - 16 Homework |
M: General Solutions for Second Order Linear Systems. (3.2, 3.3, 3.4, 3.5)
W: Initial Value Problems and Boundary Value Problems. (10.1) F: Mid-Semester Break. No Class. |
| Week #9:
Oct 19 - 23 Homework review problems |
M: Mechanical and Electrical Vibrations. (3.8)
W: Method of Undetermined Coefficients. (3.6) F: Exam #2 will be given on Friday 23 October. |
| Week #10:
Oct 26 - 30 Homework |
M: Forced Vibrations. (3.9)
W: Defenition of the Laplace Transform. (6.1) F: Transforms of Derivatives and Initial Value Problems. (6.2) |
| Week #11:
Nov 2 - 6 Homework |
M: Linear, Second Order, Constant Coefficient Equations
W: Discontinuous Forcing Functions and Impulse Functions. (6.3, 6.4, 6.5) F: Recap and Other Laplace Transform Topics. |
| Week #12:
Nov 9 - 13 Homework |
M: The Convolution Integral. (6.6)
W: Fourier Series. (10.2) F: The Fourier Convergence Theorem. (10.3) |
| Week #13:
Nov 16 - 20 |
M: Fourier Sine and Cosine Series. (10.4)
W: Exam #3 will be given on Wednesday 18 November. F: The Heat Equation. (10.5) |
| Week #14:
Nov 23 - 27 |
M: Separation of Variables. (10.5)
W: Thanksgiving Holiday. No Class. F: Thanksgiving Holiday. No Class. |
| Week #15:
Nov 30 - Dec 4 |
M: Solutions to the Heat Equation. (10.6)
W: The Wave Equation. (10.7) F: Solutions to the Wave Equation. (10.7) |
| Final Exam | The Final Exam has not yet been scheduled. It may take place as late as the evening of December 15. Please take this into account when making your travel plans. |