Engineering Mathematics I
Course Description:
Ordinary differential equations, linear differential equations of second and higher order, systems of differential equations, phase plane, stability, series solutions of differential equations, orthogonal functions, Laplace transforms, linear systems of equations, matrices and determinants.
Textbook:
Advanced Engineering Mathematics, 10th Edition, by E. Kreyszig.
Topic Outline and Schedule:
The following is a rough
plan. As the course progresses, I may include new topics and/or delete
some of the ones listed here.
|
Topics
|
Weeks
|
|
1. 1st-order ODEs
|
1-3
|
|
2. 2nd-order linear ODEs
|
4-6
|
|
3. Higher-order ODEs
|
7
|
|
4. System of differential
equations
|
8-10
|
|
5. Series solutions of
2nd-order ODE
|
11-12
|
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6. Laplace transform
|
13-14
|
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7. Matrices, determinants
and Linear system of equations
|
15-16
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