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LebanonVisitors:
MATH 4243
Differential Equations II
Lecture Notes
To Students: BEWARE! The notes posted here are those that I write for myself to bring to class so that if you miss class, you can see approximately what we covered. I will NOT be posting notes as they would appear in class. There will be many missing examples and explanations. This is not a replacement for coming to class and taking notes yourself.
§ 6.1 The Calculus of Matrix Valued Functions of a Real Variable
§ 5.1 nth Order Linear Differential Equation: Existence and Uniqueness
§ 5.2 The General Solution to nth Order Linear Homogeneous Equations
§ 5.3 Fundamental Sets and Linear Independence
§ 5.4 Higher Order Homogeneous Linear Equations with Constant Coefficients
§ 5.5 Nonhomogenous nth Order Linear Differential Equations
§ 6.2 Existence and Uniqueness of Solution to Initial Value First Order Linear Systems
§ 6.3 Homogeneous First Order System
§ 6.4 First Order Linear Systems: Fundamental Sets and Linear Independence
§ 6.5 First Order Homogeneous Linear Systems with Constant Coefficients
§ 6.6 Homogeneous Linear Systems with Constant Coefficients: Complex Eigenvalues
§ 6.7 Homogeneous Systems with Constant Coefficients: Repeated Eigenvalues
§ 6.8 Nonhomogeneous First Order Linear Systems
§ 6.10 Solving First Order Linear Systems with Diagonalizable Constant Coefficients Matrix
§ 6.11 Solving First Order Linear Systems Using Exponential Matrix
§ 7.1 The Laplace Transforms: Basic Definitions and Results
§ 7.2 Further Studies of Laplace Transform
§ 7.3 The Laplace Transform and the Method of Partial Fractions
§ 7.4 Laplace Transforms of Periodic Functions
§ 7.5 Solving Systems of Differential Equations Using Laplace Transform
§ 7.6 Convolution Integrals
§ 7.7 The Dirac Delta Function and Impulse Response
§ 9.1 Numerical Methods of Solutions: Euler's Method and its Variants
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Last updated:July 20, 2008