219753 – Numerical analysis
Classroom: MB 2212
Class meeting: Tu F at 11.00 am - 12.30 pm
Semester: 2/2559
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
Midterm
Exam Date: Thursday, 2
March 2017 at 3:30 PM to 6:30 PM
Location: RB5204
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
3.2
Aitken extrapolation for linear convergent sequences
Final
Exam Date: Thursday 4 May,
2017 at 3:30 PM to 6:30 PM
Location: TBA
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