Math308 Lecture Notes Summer 2018
This page will be updated as the semester progresses.
Chapter 1 (Introduction)
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Section 2.1 (Linear Equations; Method of Integrating Factors)
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Section 2.2 (Separable Equations)
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Section 2.3 (Modeling with First Order Equations)
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Section 2.4 (Differences Between Linear and Nonlinear Equations)
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Section 2.5 (Autonomous Equations)
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Section 2.6 (Exact Equations and Integrating Factors)
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Section 3.1 (Homogeneous equations with constant coefficients)
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Section 3.2 (Solutions of linear homogeneous equations; the Wronskian)
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Section 3.3 (Complex roots of the characteristic equation)
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Section 3.4 (Repeated roots; reduction of order)
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Section 3.5 (Nonhomogeneous equations; method of undertermined coefficients)
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Section 3.6 (Variation of parameters)
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Section 3.7 (Mechanical and electrical vibrations)
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Section 3.8 (Forced vibrations)
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Section 6.1 (Definition of the Laplace Transform)
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Section 6.2 (Solution of initial value problems)
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Section 6.3 (Step functions)
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Section 6.4 (Differential equationd with discontinuous forcing functions)
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Section 6.5 (Impulse functions)
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Section 6.6 (The convolution integral)
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Section 7.1 (Introduction)
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Section 7.2 (Review of matrices)
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Section 7.3 (Linear algebraic equations; eigenvalues, eigenvectors)
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Section 7.4 (Basic theory of systems of first order equations)
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Section 7.5 (Homogeneous linear equations with constant coefficients)
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Section 7.6 (Complex eigenvalues)
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Section 7.8 (Repeated eigenvalues)
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Section 7.9 (Nonhomogeneous linear systems)
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Chapter 8 (Numerical Methods) (brief review)
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