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Course Weekly Lecture Plan

Week Topic
1 Mathematical Modeling, Approximations and Round-off Errors
2 Truncation Errors and Taylor Series
3 Bracketing Methods and Open Methods
4 Roots of Polynomials
5 Gauss Elimination
6 LU Decomposition and Matrix Inversion
7 Special Matrices and Gauss-Seidel
8 Least-Squares Regression
9 Interpolation
10 Newton-Cotes Integration of Equations
11 Numerical Differentiation
12 Runge-Kutta Methods, Stiffness and Multistep Methods
13 Finite Difference: Elliptic Equations
14 Finite Difference: Parabolic Equations
 
 
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