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Advanced Engineering Mathematics


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ORDINARY DIFFERENTIAL EQUATIONS: Differential Equations of the First Order; Linear Differential Equations; Systems of Differential Equations, Phase Plane, Stability; Series Solutions of Differential Equations, Orthogonal Functions; Laplace Transformation; LINEAR ALGEBRA, VECTOR CALCULUS: Vectors; Matrices and Determinants; Vector Differential Calculus; Line and Surface Integrals, Integral Theorems; FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS: Fourier Series, Fourier Integrals, Fourier Transforms; Partial Differential Equations; COMPLEX ANALYSIS: Complex Numbers, Complex Analytic Functions; Complex Integration; Power Series, Taylor Series, Laurent Series; Residue Integration Method; Conformal Mapping; Complex Analysis Applied to Potential Theory; NUMERICAL ANALYSIS: Numerical Methods in General; Numerical Methods in Linear Algebra; Numerical Methods for Differential Equations; OPTIMIZATION, GRAPHS: Unconstrained Optimization, Linear Programming; Graphs and Combinatorial Optimization; PROBABILITY AND STATISTICS: Probability Theory; Mathematical Statistics. Appendixes.

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