21-260: Differential Equations

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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:  Aug 28 - Sept 1 Homework	Differential Equations: Integrals as General and Particular Solutions Separable Equations and Applications Direction Fields and Solution Curves; Euler's Method
Week #2:  Sept 4 - Sept 8 Homework	Numerical Approximation Existence and Uniqueness Linear First Order Equations Administrative Note: Monday, September 4 is Labor Day. No Classes.
Week #3:  Sept 11 - 15 Homework	Differential Equations and Mathematical Models; Population Models Equilibrium Solutions and Stability
Week #4:  Sept 18 - 22 Homework	First Order Systems and Applications The Method of Elimination Matrices and Linear Systems
Week #5:  Sept 25 - 29 Homework	Matrices and Linear Systems Exam #1 will be given in class on Friday, September 29. Here are the sections covered. Review problems will be forthcoming.
Week #6:  Oct 2 - 6 Homework	Matrices and Linear Systems Eigenvalues and Eigenvectors
Week #7:  Oct 9 - 13 Homework	The Eigenvalue Method for Homogeneous Systems Multiple Eigenvalue Solutions
Week #8:  Oct 16 - 20 Homework	Introduction: Second Order Linear Equations General Solutions of Linear Equations Homogeneous Equations with Constant Coefficients Administrative note: Classes are canceled on Friday, October 20 and Monday, October 23 for the Mid-Semester Break.
Week #9:  Oct 23 - 27 Homework	Mechanical Vibrations Exam #2 will be given in class on Friday, October 27. Here are some review problems.
Week #10:  Oct 30 - Nov 3 Homework	Nonhomogeneous Equations and the Method of Undetermined Coefficients Forced Oscillations and Resonance Stability and the Phase Plane Administrative note: The deadline for dropping a course is Tuesday, October 31.
Week #11:  Nov 6 - 10 Homework	Stability and the Phase Plane Linear and Almost Linear Systems Laplace Transforms and Inverse Transforms
Week #12:  Nov 13 - 17 Homework	Transformation of Initial Value Problems Translation and Partial Fractions Derivatives, Integrals, and Products of Transforms
Week #13:  Nov. 20 - 24 Homework	Periodic and Piecewise Linear Input Functions Administrative note: Thanksgiving is Thursday, November 23. Classes will not meet on Wednesday, November 22 or Friday, November 24.
Week #14:  Nov 27 - Dec 1 Homework	Impulses and Delta Functions Periodic Functions And Trigonometric Series General Fourier Series and Convergence Exam #3 will be given in class on Friday, December 1. Here are some review problems.
Week #15:  Dec 4 - 8 Homework	Fourier Sine and Cosine Series Applications of Fourier Series Heat Conduction and Separation of Variables
Week #16:  Dec 11 - 15	Vibrating Strings and the One-Dimensional Wave Equation Steady-State Temperature and Laplace's Equation Administrative note: Tuesday, December 12 is the last day of class.  The Final Exam will be given on Thursday, December 21, from 8:30am to 11:30am in DH 2315. Here are some review problems.