Intro to Ordinary Differential Equations
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Textbook: Normally I write my own textbooks. However, since I am teaching this course for the first time I will follow the standard textbook Elementary Differential Equations with Boundary Value Problems by Edwards and Penney.
Office Hours: Wed and Thurs, 4--5pm, via Zoom Here is the syllabus. Here is a summary of what we did in class. | ||
| Assignment | Due Date | Topics |
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Homework 1 Solutions |
Fri, Feb 3 |
First-Order ODEs Slope Fields Separation of Variables Growth: Exponential, Explosive, Logistic |
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Homework 2 Solutions |
Fri, Feb 17 |
Non-Separable Equations Integration Factors The Spring Equation Phase Shift Euler's Identity |
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Homework 3 Solutions |
Mon, Feb 27 |
The Damped Spring Second Order Linear ODEs The Characteristic Equation Roots: Distinct, Repeated, Conjugate |
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Exam 1: Fri, Mar 3 Practice Problems and Solutions Exam Solutions | ||
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Homework 4 Solutions |
Wed, Mar 29 |
Linear Operators Non-Homogeneous Linear ODEs Undetermined Coefficients Variation of Parameters |
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Homework 5 Solutions |
Fri, Apr 14 |
Laplace Transforms Resonance Impulse and Step Functions |
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Homework 6 Solutions |
Mon, Apr 24 |
Coupled Oscillators Eigenvectors and Eigenvalues Intro to Linear Systems |
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Exam 2: Fri, Apr 28 Practice Problems and Solutions Exam Solutions | ||
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Final Exam: Fri, May 5 Exam Solutions | ||