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Third stage
(First course)
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Lectures
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Title of Lectures
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Lectures one
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Determinants and Matrices
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Lectures two
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Direct Methods to solve Linear Equations Systems
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Lectures three
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Gaussian elimination Method
Gauss- Jordan elimination Method
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Lectures four
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Indirect Methods to solve Linear Equations Systems
Jacobi Method
The Gauss-Seidel Method
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Lectures five
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Eigen value & Eigen vectors
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Lectures six
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The Cayley -Hamilton Method
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Lectures seven
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Fourier Series
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Lectures eight+9
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Special function :Gamma function
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Lectures ten+11
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The Laplace transform and Inverse Laplace transforms ,Convolution theorem
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Lectures 12+13
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Solution of Partial Differential Equations
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Third stage
(Second course)
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Lectures
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Title of Lectures
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Lectures one
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Numerical method for solving initial value problem .Taylor series method ,Picard method of successive approximation
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Lectures two
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Numerical method for solving ordinary differential eq. Euler method ,Rung-Kutta method
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Lectures three
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Modified Euler, Milnes Predictor –corrector method
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Lectures four
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Multistep Method for First-Order Differential Eq .: Adams –Moulton method
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Lectures five
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Numerical solution of equation one variable
location of root ,Newton Raphson method
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Lectures six
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Numerical methods for solving integration: Trapezoidal rule , Simpsons 1/3 rule , Simpsons 3/8 rule
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Lectures seven+9
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INTERPOLATION
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Lectures nine+10
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Curve Fitting :Method of least Square
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Lectures 11+12
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Numerical Analysis :Finite Differences
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Lectures 13+14
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Numerical method for solving initial value problem .Taylor series method ,Picard method of successive approximation
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