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MAT 202E
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Course Weekly Lecture Plan
Course Evaluation Criteria
Course Weekly Lecture Plan
Week
Topic
1
Introduction to numerical methods, Programing and Software
2
Mathematical Modelling and Engineering Problem Solving
3
Approximation,round-off and truncation errors, Taylor series
4
Bracketing Methods
5
Open Methods
Homework #1
6
Linear Algebraic Equations:Gauss Elimination, LU decomposition and Matrix Inversion, Special Matrices and Gauss-Seidel
Homework #2
7
Optimization:One- and Multi-Dimensional Unconstrained Optimization,Constrained Optimization
Midterm #1 : 27 March 2012, 18:00-20:00
8
Curve Fitting: Least-Squares Regression, Interpolation
Homework #3
9
Curve Fitting: Fourier Approximation
10
Numerical Differentiation and Integration: Newton-Cotes integration formulas
Homework #4
11
Numerical Differentiation and Integration: Integration of equations, Numerical differentiation
Midterm #2 : 24 April 2012, 18:00-20:00
12
Ordinary Differential Equations: Runge-Kutta Methods, Stiffness and Multistep Methods, Boundary value and Eigenvalue Problems
13
Partial Differential Equations: Finite Difference- Elliptic equations
Homework #5
14
Partial Differential Equations: Finite Difference- Parabolic Equations), Finite Element
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