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# Topics - TOPICS TOPIC 1 Matrices APPLICATIONS Linear...

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TOPICS TOPIC APPLICATIONS 1) Matrices Linear Systems of Equations Numerical Methods Systems of Ordinary Diﬀerential Equations Series Solutions to Ordinary Diﬀerential Equations Series Solutions to Partial Diﬀerential Equations Spectral Methods 3) Complex Variables Solutions to the Laplace Equation: · Heat Conduction · Potential Flow · Elasticity · Electromagnetic Fields · Conformal Mapping Evaluation of Real Integrals 2) Calculus of Variations Energy Methods Elasticity Dynamics Circuit Analysis Optics (Fermat’s Principle) Optimization Optimal Control Finite-Element Methods Boundary-Element Methods Grid Generation 1

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TOPIC Cassel Hildebrand Kreyszig Matrices Deﬁnitions 1.1 1.1, 1.3, 1.5, 1.6 4.0, 7.1 Algebraic Operations 1.2 1.3 4.0, 7.1, 7.2, 7.8 Determinants 1.3 1.4 7.6, 7.7 Systems of Linear Equations 1.4 1.3, 1.6 7.3, 7.5 Gaussian Elimination 1.5 1.2, 1.7, 1.8, 1.9 7.3, 7.8 Cramer’s Rule 1.6 1.4 7.7 Linear Vector Spaces 1.7 1.10, 1.11, 1.13 7.4, 9.1, 9.2 Linear Transformations
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Topics - TOPICS TOPIC 1 Matrices APPLICATIONS Linear...

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