# 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:  Jan 14 - 18 Homework 1.4. Separable Equations and Applications 1.3. Direction Fields and Solution Curves 2.4. Numerical Approximation: Euler's Method Week #2:  Jan 21 - 25 Homework 1.3. Existence and Uniqueness 2.2. Equilibrium Solutions and Stability Administrative Note: Monday, January 21 is Martin Luther King Day. Class will not meet. Week #3:  Jan 28 - Feb 1 Homework 1.5. Linear First-Order Equations 3.1. Introduction: Second-Order Linear Equations 3.4. Mechanical Vibrations Week #4:  Feb 4 - 8 Homework 3.5. Nonhomogeneous Equations and the Method of Undetermined Coefficients 3.6. Forced Oscillations and Resonance Week #5:  Feb 11 - 15 Homework 7.1. Laplace Transforms and Inverse Transforms 7.2. Transformations of Initial Value Problems Week #6:  Feb 18 - 22 Homework 7.3. Translation and Partial Fractions 7.4. Derivatives, Integrals, and Products of Transforms Exam #1 will be given on Wednesday, February 20. The exam will be given in DH 2210 (Lecture 1) and DH 2315 (Lecture 2) from 7:30 AM to 8:20 AM. Here are some review problems. Week #7:  Feb 25 - Mar 1 Homework 7.4. Derivatives, Integrals, and Products of Transforms 7.5. Periodic and Piecewise Continuous Input Functions Week #8:  Mar 4 - 8 Homework 7.6. Impulses and Delta Functions 4.1. First Order Systems and Applications Administrative note: Friday, March 8 is the Mid-Semester Break. Class will not meet. Week #9:  Mar 11 - 15 Homework 5.1. Matrices and Linear Systems 5.2. The Eigenvalue Method for Homogeneous Systems Week #10:  Mar 18 - 22 Homework 5.2. The Eigenvalue Method for Homogeneous Systems 5.4. Multiple Eigenvalue Solutions Administrative note: The deadline for dropping a course is Tuesday, March 26. Exam #2 will be given on Wednesday, March 20. The exam will be given in the UC-McConomy Auditorium during your regular class time. Note that this has changed from the previous schedule.. Here are some review problems. Week #11:  Mar 25 - 29 Homework 6.1. Stability and the Phase Plane 6.2. Linear and Almost Linear Systems Administrative Note: April 1-5 is Spring Break. Classes and Recitations will not meet. Week #12:  Apr 8 - 12 Homework 6.2. Linear and Nonlinear Systems 3.8. Endpoint Problems and Eigenvalues 9.1. Periodic FUnctions and Trigonometric Series Week #13:  Apr 15 - 19 Homework 9.2. General Fourier Series and Convergence 9.3. Fourier Sine and Cosine Series Week #14:  Apr 22 - 26 Homework 9.4. Applications of Fourier Series. 9.5. Heat Conduction and Separation of Variables Exam #3 will be given on Wednesday, April 24. The exam will be given during your regular class time in McConomy Auditorium. A review session will be held on Monday, April 22 from 6:30-8:00 in DH 2315. Here is a study guide. More items may be added, so check back. Week #15:  Apr 29 - May 3 Homework 9.6. Vibrating Strings and the One-Dimensional Wave Equation Administrative note: Friday, May 3 is the last day of class. May 14 The Final Exam will be given on Tuesday, May 14, from 8:30am to 11:30am. Here are some review problems.

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