219753 – Numerical analysis
Classroom: MB 2313
Class meeting: Tu F at 11.00 am - 12.30 pm
Semester: 2/2563

Instructor: Dr. Nattapol Ploymaklam
Office: MB 2225
Email: nploymaklam@gmail.com

MS Team

Midterm Exam Date: Friday, January 29, 2021 at 15:30 PM to 18:30 PM
Location: TBA

1. Computing with numbers

1.1 Number representation, floating point representation

1.2 Round-off error

1.3 Truncation error

1.4 Accuracy and precision

1.5 Analysis of stability and error estimate of algorithm

2. Matrix computations

2.1 Sensitivity of linear systems, condition number

2.2 Direct methods for solving linear systems

2.3 Iterative techniques in matrix algebra and its error estimate

2.4 Power method for finding eigenvalues

3. Nonlinear algebraic equations

3.1 A general theory for one-point iteration methods

3.2 Estimating the location of a root

3.3 Numerical evaluation of multiple roots

Final Exam Date: Thursday March 25, 2021 at 15:30 PM to 18:30 PM
Location: TBA

3.4 Fixed points for functions of several variables

3.5 Newton’s methods for several variables

4. Approximation of functions

4.1 Interpolations and extrapolation

4.2 Piecewise polynomial interpolation and splines, Hermite interpolation

4.3 B-spline approximation and representation of lines and surfaces

4.4 Numerical differentiation of a function of one and two variables

4.5 Quadrature by polynomial interpolations