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 Syllabus

Course Outline


  1. Introduction and MATLAB
    1. Numerical Analysis
    2. Example
    3. Errors
    4. Parallel & Distributive Computing
    5. Basics of MATLAB
  2. Solving Equations and Systems
    1. Equations of One Variable
      1. Bisection Method
      2. Secant Method
      3. Newton's Method
      4. Muller's Method
    2. Direct Methods for Systems
      1. Elimination
      2. Pivoting
      3. Matrix Inversion
      4. Faactorization
      5. Special Matrices
    3. Iterative Methods for Systems
      1. Vector Convergence
      2. Eigenvalues and Eigenvectors
      3. Jacobi & Gauss-Seidel Methods
  3. Interpolation and Curve Fitting
    1. Newton Polynomials
    2. Splines
    3. Parametric & Bezier Curves
    4. Least Squares Regression
    5. Power & Exponential Regression
  4. Numerical Integration and Differentiation
    1. Quadrature
    2. Multiple Integrals
    3. Differentiation