Syllabus* for Math 243-Summer School 2026
(*weekly contents may vary according to the progress of the lectures)
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WEEK |
TOPICS |
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1 |
Introduction, Existence and Uniqueness thm. for first order d.e.'s, Separable Equations, Homogeneous Equations, |
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2 |
Linear Eqns., Bernoulli Eqns., Exact Eqns., Integrating Factors, |
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3 |
Eqns. of the form y'=G(ax+by), Equations with linear coefficients, |
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4 |
Reduction of Order,The method of undetermined coefficients, The method of variation of parameters, |
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5 |
Cauchy-Euler Eqns., Laplace Transforms, Inverse Laplace Transforms, Solving Initial Value Problems, |
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6 |
Unit Step Function, Convolution, Solving systems of linear differential equations using Laplace transform |
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7 |
Power Series Method (around ordinary point),power series method (continued),
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