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21-260 Differential Equations |
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| Home | Course Information | Blog | Schedule | Policies |
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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:
Jan 16 - 20 Homework |
M: Martin Luther King Jr. Day. No Class.
W: Introduction to Differential Equations. F: Seperable Equations. |
| Week #2:
Jan 23 - 27 Homework |
M: Some Basic Mathematical Models.
W: Linear First Order Differential Equations. F: Existence and Uniqueness Theorems. |
| Week #3:
Jan 30 - Feb 3 Homework |
M: Autonomous Differential Equations.
W: Euler's Method. F: Systems of First Order Equations. |
| Week #4:
Feb 6 - 10 Homework |
M: Vectors and Matrices.
W: Systems of Algebraic Equations. F: Linear Independence of Vectors. |
| Week #5:
Feb 13 - 17 Exam Review |
M:
W: Exam #1 will be given on Wednesday, February 15. F: Eigenvalues and Eigenvectors. |
| Week #6:
Feb 20 - 24 |
M: Homogeneous Linear Systems with Constant Coefficients.
W: The Phase Plane and Linear Systems. F: Basic Theory of First Order Linear Systems. |
| Week #7:
Feb 27 - Mar 2 |
M: Systems with Complex Eigenvalues.
W: Systems with Repeted Eigenvalues. F: Equilibrium Points and Stability. |
| Week #8:
Mar 5 - 9 |
M: Linear Differential Equations and Linear Systems.
W: General Solutions for Second Order Linear Systems. F: Mid-Semester Break. No Class. |
| Week #9:
Mar 19 - 23 |
M: Initial Value Problems and Boundary Value Problems.
W: Exam #2 will be given on Wednesday, March 21. F: Mechanical and Electrical Vibrations. |
| Week #10:
Mar 26 - 30 |
M: Method of Undetermined Coefficients.
W: Forced Vibrations. F: Defenition of the Laplace Transform. |
| Week #11:
Apr 2 - 6 |
M: Transforms of Derivatives and Initial Value Problems.
W: Linear, Second Order, Constant Coefficient Equations. F: Discontinuous Forcing Functions and Impulse Functions. |
| Week #12:
Apr 9 - 13 |
M: Recap and Other Laplace Transform Topics.
W: The Convolution Integral. F: Fourier Series. |
| Week #13:
Apr 16 - 20 |
M: Exam #3 will be given on Monday, April 16.
W: The Fourier Convergence Theorem. F: Spring Carnival. No Classes. |
| Week #14:
Apr 23 - 27 |
M: Fourier Sine and Cosine Series.
W: The Heat Equation. F: Separation of Variables. |
| Week #15:
Apr 30 - May 4 |
M: Solutions to the Heat Equation.
W: The Wave Equation. F: Solutions to the Wave Equation. |
| Final Exam | The Final Exam has not yet been scheduled. It may take place as late as May 15. Please take this into account when making your travel plans. |