Instructor
Jeffrey O. Bauer
107 Carhart Science
Phone: 402-375-7334
Email: jebauer1@wsc.edu
Course Description: An introduction to numerical solutions to problems. Topics include: solution of equations and systems, interpolation and curve fitting, and numerical differentiation and integration.
Textbook: The Basics of MATLAB Jeffrey O. Bauer, (2007). Wayne State College
Applied Numerical Analysis, 7E. Gerald and Wheatley (2004). Pearson/Addison Wesley: Boston, MASS. (ISBN: 0-321-13304-8)
Course Outline
- Introduction and MATLAB
- Numerical Analysis
- Example
- Errors
- Parallel & Distributive Computing
- Basics of MATLAB
- Solving Equations and Systems
- Equations of One Variable
- Bisection Method
- Secant Method
- Newton's Method
- Muller's Method
- Direct Methods for Systems
- Elimination
- Pivoting
- Matrix Inversion
- Faactorization
- Special Matrices
- Iterative Methods for Systems
- Vector Convergence
- Eigenvalues and Eigenvectors
- Jacobi & Gauss-Seidel Methods
- Interpolation and Curve Fitting
- Newton Polynomials
- Splines
- Parametric & Bezier Curves
- Least Squares Regression
- Power & Exponential Regression
- Numerical Integration and Differentiation
- Quadrature
- Multiple Integrals
- Differentiation