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 13 - 17 Homework 1.1. Prologue: What are Differential Equations? 1.2. Four Introductory Models Administrative Note: Lecture 1 (10:30) will not meet on Friday 17 January. Lecture 2 (12:30) will meet as normal. Week #2:  Jan 20 - 24 Homework 1.3. Fundamental Concepts and Terminology 2.1. Methods of Solution Administrative Note: Monday 20 January is Martin Luther King Day. Lecture 2 (12:30) will not meet. Lecture 1 (10:30) will meet as normal. Week #3:  Jan 27 - Jan 31 Homework 2.2.2. Mixing Problems 3.1. Direction Fields and Numerical Approximation Week #4:  Feb 3 - 7 Homework 3.2. Separable Equations 3.5. Nonlinear First-order Equations in Applications 4.2. Existence and Uniqueness Exam #1 will be given on Wednesday 5 February. The exam will be held during your regular class time in the University Center's McConomy Auditorium. A review session will be held on Monday 3 February, from 7:30-9:00 in DH 2315. Here are some review problems. Week #5:  Feb 10 - 14 Homework 4.3. Qualitative and Asymptotic Behavior 4.4. The Logistic Population Model 5.1. Introduction: Modeling Vibrations Week #6:  Feb 17 - 21 Homework 5.2. State Variables and Numerical Approximations 5.3. Operators and Linearity Week #7:  Feb 24 - Feb 28 Homework 5.4. Solutions and Linear Dependence 6.1. Homogeneous Equations with Constant Coefficients 6.2. Exponential Shift Week #8:  Mar 3 - 7 Homework 6.3. Complex Roots Exam #2 will be given on Wednesday, March 5. Here are some review problems. Administrative note: Friday, March 7 is the Mid-Semester Break. Class will not meet. Week #9:  Mar 10 - 14 Homework 6.4. Real Solutions from Complex Solutions 6.5. Unforced Vibrations 6.6. Periodic Force and Responce Week #10:  Mar 17 - 21 Homework 7.1. Definition and Pasic Properties (of the Laplace Transform) 7.2. More Transforms and Further Properties Mar 24 - 28 Spring Break Week #11:  Mar 31 - Apr 4 Homework 7.3. Heavyside Functions and Piecewise-Defined Inputs 7.4. Periodic Inputs Week #12:  Apr 7 - 11 Homework 7.5. Impulses and the Dirac Distribution Exam #3 will be given on Wednesday, April 9. Here is a study guide. More items may be added, so check back. Week #13:  Apr 14 - 18 Homework 7.6. Convolution 11.1. The Basic Diffusion Problem 11.2. Solutions by Separation of Variables Week #14:  Apr 21 - 25 Homework 11.3. Fourier Series 11.4. Fourier Sine and Cosine Series 11.5. Sturm-Liouville Problems Week #15:  Apr 28 - May 2 Homework 11.6. Singular Sturm-Liouville Problems 11.7. Eigenfunction Expansions 12.1. The Wave Equation 12.2. The 2-D Laplace Equation 12.3. The 2-D Diffusion Equations Administrative note: Friday, May 2 is the last day of class. May 13 The Final Exam will be given on Tuesday, May 14, from 1:00pm to 4:00pm, in UC McConomy. Here are some review problems.
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