exam 1 fall 2010 outline - Linear Algebra: Matrices,...

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Engineering Math Exam 1 Outline Fall 2010 Chapter 6. Laplace Transforms A. Definition (6.1) B. Laplace Transform Formulas (6.1) C. Linearity (6.1) D. -shifting (6.1) = E. Inverting Transforms (6.1) 1. Partial Fractions 2. Completing the Square F. Transforms of Derivatives (6.2) G. Solving Initial Value Problems (6.2) H. Unit Step Function (6.3) I. -shifting (6.3) > J. Dirac Delta Function (6.4) K. Periodic Functions (6.4 exercises) L. Convolution (6.5) 1. Definition 2. Convolution Theorem 3. Using Convolution to Find Inverse Laplace Transforms 4. Using Convolution to Solve Integral Equations M. Differentiation of Transforms (6.6) N. Systems of ODEs (6.7) Chapter 7
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Unformatted text preview: Linear Algebra: Matrices, Vectors, Determinants. Linear Systems A. Basic Definitions and Concepts (7.1) B. Matrix Addition and Scalar Multiplication (7.1) C. Matrix Multiplication (7.2) D. Determinants and Cofactors (7.6 and 7.7) E. Matrix Inverses (7.8) F. Singular and Nonsingular Matrices (7.8) G. Vector Spaces (7.9) 1. Defining Properties 2. Subspaces 3. Spanning 4. Linear Dependence and Independence 5. Basis 6. Dimension H. Elementary Row Operations and Gauss Elimination (7.3) I. Solving Systems of Linear Equations (7.3) J. Row Space and Column Space of a Matrix (7.4) K. Rank of a Matrix (7.4)...
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This note was uploaded on 01/10/2011 for the course ESE 317 taught by Professor Hastings during the Fall '08 term at Washington University in St. Louis.

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