MATH230 Introduction to Numerical Methods

Instructor: Shingyu Leung
Email: masyleung @ ust.hk
Office: 3491
Office hours: Tue 1400-1500
Class webpage: http://www.math.ust.hk/~masyleung/230.10s.html
Class blog: http://math230-2010s.blogspot.com/
Course outline in pdf: [Click Here]

TA: Jun Luo (maluojun@ust.hk) and Kin Ping Chan (ckpaa@ust.hk)

Lectures: Tuesday and Thursday 1700-1750, Room 2502
Textbook: Numerical Analysis, 8th edition, by Burden, R.L. and Faires, J.D.
Midterm: 23 March 2010
Final: TBA

Announcement

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Grading Scheme

30% Midterm
70% Final: Comprehensive, i.e. all materials taught in the whole semester will be tested, including those already tested in the miderm exam. But focus will be on those topics not covered in the midterm.
Exams are closed books and notes, and no formula sheets are provided.
More information will be given in the lecture prior to the exams.

Homework

Homework will be assigned more or less weekly. You don't have to but ARE HIGHLY ENCOURAGED to hand them in. But if you do, they will be graded so that you can keep track of your own progress.
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Homework Solution

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Actual Schedule of Lectures

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Schedule of Lectures (Tentative)

Chapter 1 Introduction
Chapter 2 Root Finding
Chapter 2.1 Bisection Method
Chapter 2.2 Fixed Point Iteration
Chapter 2.3 Newton's Method and Secant Method
Interpolation (Chapter 3)
Chapter 3.1 Interpolation and the Lagrange (interpolating) polynomial
Chapter 3.2 Divided differences and Newton's interpolation divided-difference formula
Chapter 8 Least Squares Data Fitting
Chapter 8.1 Least Square Data Fitting - Data Fitting, Modes, Normal Equation
Chapter 4 Numerical Differentiation and Integration
Chapter 4.1 Numerical Differentiation
Chapter 4.3 Elements of Numerical Integration
Chapter 4.4 Composite Rules
Chapter 4.7 Gaussian Quadrature
Chapter 5 Solution to ODEs
Chapter 5.1 Euler's Method
Chapter 6 and 7 Solving Linear System
Chapter 6.1 and 6.2 Gaussian Elimination
Chapter 6.5 LU Decomposition
Chapter 7.3 Iterative Methods