MATH 3312: Numerical Analysis (Fall 2012)

Time: TTH, 13:30-14:50

Room : 2504

Instructor: Mo Mu
Rm3482, x7446
http://www.math.ust.hk/~mamu
Office Hours: Thursday 14:50-16:00

Teaching Assistant:  Li Wenbin (lwb@ust.hk) (Office hours to be arranged by the TA)

Course Description

This course presents numerical methods for solving mathematical problems. It deals with the theory and application of numerical approximation techniques as well as their computer implementation. It covers computer arithmetic, solution of nonlinear equations, interpolation and approximation, numerical integration and differentiation, solution of differential equations, and matrix computation.

Course Material

Textbook:

Numerical Analysis, by Burden, R.L. and Faires J. D., Thomson Brooks/Cole.

Book companion site: http://www.as.ysu.edu/~faires/Numerical-Analysis

Course Description

4 units.

Exclusions and prerequisite: refer to the official calendar of the University.

Assessment Scheme

Option A: Homework: 10%; Midterm Exams: 25 %; Final Exam: 65 %

Option B: Midterm Exams: 30 %; Final Exam: 70 %

Total Marks = max{Option A, Option B}

Final grades are determined based on the curve of total marks following the general guidelines of the University.

The TA will announce the due dates and collect the homework assignments, as well as provide the solution keys in the due time.

Final Examination:

Time: 120 minutes

Form:

1. Closed books and notes.

2. No formula sheets are provided.

3. Calculators approved by Hong Kong Examinations and Assessment Authority (香港考試及評核局) are allowed.

4. Use 5-(significant) digit rounding arithmetic (see the exact definition in the textbook) in major steps of calculations.

Marks: 100

Topics to be tested:

All materials taught in the whole semester will be tested, although including those already tested in the midterm test, however with focus on those not tested in the midterm test.

Intended learning outcomes:

Upon the end of the course, students should be able to:

1. Develop an understanding of the core ideas and concepts of Numerical Methods.
2. Be able to recognize the power of abstraction and generalization, and to carry out investigative mathematical work with independent judgment.
3. Be able to apply rigorous, analytic, highly numerate approach to analyze and solve problems using Numerical Methods.
4. Be able to communicate problem solutions using correct mathematical terminology and good English.

Course Topics (tentative):

Mathematical Preliminaries (Chapter 1)