219753 – Numerical analysis
Classroom: MB 2313
Class meeting: M Th at 11.00 am - 12.30 pm
Semester: 2/2560

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

Files Schedule

Midterm Exam Date: Wednesday, February 28, 2018 at 8:00 AM to 11:00 AM
Location: RB5105

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 Matrices properties

2.2 Norms of vector and matrix

2.3 Sensitivity of linear systems, condition number

2.4 Direct methods for solving linear algebra

2.5 Iterative techniques in matrix algebra and its error estimate

2.6 Eigenvalues and eigenvectors of matrix

2.7 Eigenvalue location, error, and stability results

3. Nonlinear algebraic equations

3.1 A general theory for one-point iteration methods

3.2 Aitken extrapolation for linear convergent sequences

Final Exam Date: Wednesday May 2, 2018 at 12:00 PM to 3:00 PM
Location: RB5401

3.3 Estimating the location of a root

3.4 Numerical evaluation of multiple roots

3.5 Fixed points for functions of several variables

3.6 Newton’s methods for several variables

4. Approximation of functions

4.1 Interpolations and extrapolation

4.2 Piecewise polynomial interpolation and splines, Hermite

4.3 B-spline approximation and representation of lines and surfaces

4.4 Pade’ approximation, Trigonometric approximation

4.5 Numerical differentiation of a function of one and two variables

4.6 Quadrature by polynomial interpolations