219753 – Numerical analysis
Classroom: SCB 4302
Class meeting: Tu F at 11.00 am - 12.30 pm
Semester: 2/2562

Instructor: Dr. Nattapol Ploymaklam
Office: MB 2225
Office Hours: Tu F at 12.30 pm – 14.00 pm, or by appointment
Email: nploymaklam@gmail.com

Files Schedule

Midterm Exam Date: Tuesday, February 18, 2020 at 8:00 AM to 11:00 AM
Location: RB 3401

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

Final Exam Date: Thursday April 23, 2020 at 3:30 PM to 6:30 PM
Location: TBA

3.3 Numerical evaluation of multiple roots

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