Weeks | Topics |
1 |
Basic Definitions of Differential Equations.
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2 |
Classifications and foundations of Differential Equations.
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3 |
First-Order and First-Degree Differential Equations; Separable Variables, Homogeneous Equations and Equations Reducible to This Form.
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4 |
Exact Differential Equations and Equations Reducible to This Form, Integrating Factors.
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5 |
Linear, Bernoulli and Riccati Equations.
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6 |
First-Order and First-Degree Differential Equations.
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7 |
Applications of First-Order Differential Equations.
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8 |
Applications of First-Order Differential Equations.
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9 |
midterm exam
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10 |
Theory of the Higher Order Linear Differential Equations, The method of Reduction of Order.
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11 |
Homogeneous Linear Equations with Constant Coefficients.
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12 |
Nonhomogeneous Linear Differential Equations; the Method of Undetermined Coefficients.
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13 |
Operator Method.
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14 |
The Method of Variation of Parameters.
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