# 21-260: Differential Equations

### 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 25 - 29 Homework 1.1 Some Basic Mathematical Models; Direction Fields. 1.3. Classification of Differential Equations. 2.2. Seperable Equations. 2.1. Linear Equations with Variable Coefficients. Week #2:  Sep 1 - 5 Homework 2.3. Modeling with First Order Equations. 2.5. Autonomous Equations and Population Dynamics. Administrative Note: Monday 1 September is Labor Day. Class will not meet. Week #3:  Sep 8 - 12 Homework 2.4. Differences between Liner and Nonlinear Equations. 2.7. Numerical Approximations: Euler's Method. 3.1. Homogeneous Equations with Constant Coefficients. Week #4:  Sep 15 - 19 Homework 3.2. Fundamental Solutions of Linear Homogeneous Equations. 6.1. Defenition of the Laplace Transform. 6.2. Solution of Initial Value Problems. Week #5:  Sep 22 - 26 Homework General Solutions to Second-Order, Linear, Homogeneous Equations with Constant Coefficients. 3.8. Mechanical and Electrical Vibrations Exam #1 will be given on Monday 22 September. The exam will be held during your regular class time. Here are some review problems. Week #6:  Sep 29 - Oct 3 Homework 3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients. 3.9. Forced Vibrations. 6.3. Step Functions. Week #7:  Oct 6 - 10 Homework 6.4. Differential Equations with Discontinuous Forcing Functions. 6.5. Impulse Functions. 6.6. The Convolution Integral. Week #8:  Oct 13 - 17 Homework 10.2. Fourier Series. 10.3. The Fourier Convergence Theorem. Administrative note: Friday 17 October is the Mid-Semester Break. Class will not meet. Week #9:  Oct 20 - 24 Homework 10.4. Even and Odd Functions. 7.1. Introduction (to Systems of First Order Equations). Exam #2 will be given on Monday 20 October Wednesday 22 October. Here are some review problems. Week #10:  Oct 27 - 31 Homework 7.2. Review of Matrices. 7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors. Week #11:  Nov 3 - 7 Homework 7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors. 7.4. Basic Theory of Systems of First Order Linear Equations. 7.5. Homogeneous Linear Systems with Constant Coefficients. 7.6. Complex Eigenvalues. Administrative Note: Monday 3 November is the Course Drop and Pass/Fail grade option deadline. Grade of "W" is assigned after this date. Week #12:  Nov 10 - 14 Homework 7.8. Repeted Eigenvalues. Linear First order Systems and Second Order Equations. 9.1. The Phase Plane; Linear Systems. Week #13:  Nov 17 - 21 Homework Chapter 10, Appendix A. Derivation of the Heat Equations 10.5. Heat Conduction in a Rod. Administrative Note: November 17 - 21 is Spring 2004 Registration Week. Exam #3 will be given on Monday 17 November. Here is a study guide. More items may be added, so check back. Week #14:  Nov 24 - 28 Homework 10.1. Two Point Boundary Value Problems. Administrative Note: November 26 - 28 is the Thanksgiving Holiday. Class will not meet on these days. Week #15:  Dec 1 - 5 Homework 10.6. Other Heat Conduction Problems. 10.7. The Wave Equation; Vibrations of an Elastic String. . Administrative note: Friday 5 December is the last day of class. Friday 5 December is also the course drop deadline to receive a "W" grade. Final Exam December 8 The Final Exam will be given on Monday 8 December, from 8:30-11:30am, in PH 100. When making your travel plans, you should make sure there is no need for you to leave before then. Here are some review problems.

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