Math 230: Differential Equations
Winter 2014
Procedural Documents [Top Contents]
Topics of Study [Top Contents]
| Topic | Handouts | Lectures Notes | |
|
Introduction to Differential Equations (DE) 1.1: Definitions and Terminology 1.2: Initial Value Problems (IVP) 1.3: Differential Equations (DE) as Models |
1.3: Wigner article on math |
1.1 notes 1.2 notes 1.3 notes |
|
| First-order
DE 2.1: Solution Curves Without a Solution 2.2: Separable Equations 2.3: Linear Equations 2.4: Exact Equations 2.5: Solutions by Substition |
2.1: Mathematica notebook |
2.1 notes 2.2 notes 2.3 notes 2.4 notes 2.5 notes |
|
| Modeling
with First-Order DE 3.1: Linear Models 3.2: Nonlinear Models |
3.1 notes 3.2 notes |
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|
Higher-order DE 4.1: Preliminary Theory 4.2: Reduction of Order 4.3: Homogeneous Linear Equations with Constant Coefficients 4.4: Undertermined Coefficients - Superposition Approach 4.5: Undertermined Coefficients - Annihilator Approach 4.6: Variation of Parameters 4.7: Cauchy-Euler Equation |
4.1 notes 4.2 notes 4.3 notes 4.4 notes 4.6 notes 4.7 notes |
||
| Modeling
with Higher Order DE 5.1.1: Spring/Mass Systems: Free Undamped Motion |
5.1 notes |
||
| Series
Solutions of Linear Equations 6.1: Review of Power Series 6.2: Solutions about Ordinary Points |
6.1 notes 6.2 notes |
||
| The Laplace
Transform 7.1: Definition of the Laplace Transform 7.2: Inverse Transforms and Transforms of Derivatives 7.3.1: Translation on the s-Axis |
7.1 notes 7.2 notes 7.3 notes |
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| Systems of
Linear First-Order DE 8.1: Preliminary Theory 8.2.1: Distinct Real Eigenvalues |
8.1 notes 8.2 notes |
Study Guides, Tests and Test Keys [Top Contents]
| Topic | Review | Test (Key) |
| Test 1 | Handout | |
| Test 2 | Handout | |
| Test 3 | Handout | |
| Final Exam |
MIT Open Courseware videos (here)
Khan Academy videos (here)