21-260: Differential Equations

Schedule and Homework

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.