| No. | Due Date | Section | Comments |
| | |
Chapter 1 | Introduction |
| 0. | See Canvas |
1.1 | Just draw a few tangent segments. If you can install dfield8, in MATLAB that would be great. |
| 1. | |
1.2 | |
| | |
1.3 | No HW |
| | |
Chapter 2 | First Order ODE |
| | |
2.1 Linear ODEs |
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| 2. | |
2.2 Separable Variables |
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| | |
2.3 Miscellaneous ODEs |
Homogeneous and Bernoulli |
| | |
2.4 Examples of ODE Models |
No HW
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| | |
2.5 Existence and Uniqueness of Solutions |
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| 3. | |
2.6 Equilibrium Solutions |
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| | |
2.7 Exact Equations |
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| |
2.8 Euler Method (Numerical) |
(Use MS Excel or my Matlab program.)
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| | |
Chapter 3 |
Second Order Linear ODE |
| 4 | |
3.1 Introduction |
There is only one problem assigned, for 5 Points.
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| | |
3.2 Homogenous Linear ODE |
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| | |
3.3 Fundamental Set of Solutions |
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| 5. | |
3.4 Repeated roots of CE |
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| | |
3.5 Complex roots of CE |
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| | |
3.6 Nonhomogeneous: Method of Variation of Parameters |
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| 6. | |
3.7 Method of Undetermined Coefficients |
No HW assigned! Experiment and try to solve some of the problems in previous section,
using this method.
Search internet for a suitable chart.
|
| | |
3.8 Elements of Particle Dynamics |
No HW assigned!
Read this section carefully. You would be asked to derive some of it, in the
Takehome part of the Exam.
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| | |
Chapter 4 |
Higher Order Linear ODE |
| | |
4.1 General Overview of Theory |
No HW assigned.
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| | |
4.2 Linear Homogeneous ODE, with constant coefficients
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Included for the Exam
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| | |
4.3 Nonhomogeneous Linear ODE |
No HW assigned.
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| | |
Chapter 5 |
System of First Order ODE |
| 7. | |
5.1 Introduction |
No Homework
|
| | |
5.2 Algebra of Matrices |
No Homework
|
| | |
5.3 Linear Systems and Eigen Values |
HW will not be collected of graded. However, there are some problems for
practice.
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| | |
5.4 The Theoretical Foundation |
No Homework
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| | |
5.5 Homogeneous Systems with Constant Coefficients |
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| | |
5.6 Complex Eigenvalues |
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| | |
5.7 Repeated Egenvalues |
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| | |
5.8 Nonhomogeneous Linear Systems |
Solutions are already on the site. Look at them, only when you get stuck.
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| | |
Chapter 6 |
The Laplace Transform |
| 8. | |
6.1 Definition of Laplace Transform |
Solutions are already on the site. Look at them, only when you get stuck.
|
| | |
6.2 Solutions of Initial Value Problems |
Solutions are already on the site. Look at them, only when you get stuck.
|
| | Will not be colected |
6.3 Step Functions and Dirac Delta |
HW will not be collected or graded
|
| | Will not be colected |
6.4 Systems with Discontinuous Functions
|
HW will not be collected or graded
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