Ordinary Differential Equations I
Course Description:
Solutions of differential equations (first-order, second-order, and higher orders) with applications to mechanics and physics, series solutions, Laplace transform method.
Textbook:
W. Boyce and R. Diprima. Elementary Differential Equation and Boundary Value Problems. Latest Ed. John Wiley & Sons, Inc. 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.
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Topics
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Weeks
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1. 1st-order ODEs
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1-3
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2. 2nd-order linear ODEs
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4-6
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3. Higher-order ODEs
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7
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4. System of differential
equations
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8-10
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5. Series solutions of
2nd-order ODE
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11-12
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6. Laplace transform
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13-14
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7. Matrices, determinants
and Linear system of equations
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15-16
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Course Materials: Applications of 2nd-order ODEs (Slides).
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