Math 352: Elementary Numerical Analysis II


Course syllabus for Math 352 Winter 2019

Instructions about selecting a project.

Useful Mathematica notebooks:

  • B-Spline Basis Functions
  • Chebyshev Polynomials
  • Families of Solutions for ODEs
  • Gaussian Quadrature
  • Global and Local Errors in Runge-Kutta Methods
  • Interpolating a Set of Data
  • Interpolating Polynomial
  • Least Squares Fitting Polynomial
  • Slope Fields
  • Understanding Runge-Kutta
  • Example of Ill-conditioned matrix
  • Gaussian Elimination
  • Natural cubic interpolation spline function
  • Bezier curve
  • B-Spline curve

    Tentative weekly schedule


    Week Reading Homework
    1 Ch. 7 7.1: 2, 3, 5, 6
    7.2: 2, 4, 8, 9, 12
    2 Ch. 7-8 7.3: 1, 4, 5, 6
    8.1: 2, 4, 8, 9
    3 Ch. 8 8.1: 12, 21, 22
    8.2: 5, 6. Write down the formula for Jacobi and Gauss-Seidel method in the matrix form for the linear system in computer problem 8.2C: 1 (a)(b)
    4 9.1 9.1: 1, 2, 9, 10, 11, 12, 14, 17, 20
    5 9.2 9.2: 2, 3, 7, 11, 13, 14, 19, 25, 32, 41
    6 9.3 9.3: 3, 5, 7, 16, 23, 33
    Midterm Exam
    7 Ch. 10 10.1: 5, 6, 9, 10, 11, 12
    8 Ch. 11 10.2: 2, 3, 4, 6, 8, 12
    9 Ch. 12 12.1: 1, 2, 5, 7, 13, 18
    12.2: 1
    10 Ch. 7-12 Review for Final Exam
    Project due


    Last update: Feb. 18, 2019