MA8020: ADVANCED NUMERICAL ANALYSIS II, Spring 2024

Instructor: Prof. Suh-Yuh Yang (楊肅煜)

• Office: M315, Hong-Jing Hall 

• Phone: 03-4227151 ext. 65130

• E-mail address: syyang@math.ncu.edu.tw

• Homepage: http://www.math.ncu.edu.tw/~syyang/

• Online teaching (if necessary): https://meet.google.com/sqs-sqhs-rkf

Office Hours: Tuesday 10:00~12:00 am or by appointment, no teaching assistant!. 

Prerequisites: Calculus, Linear Algebra and some knowledge of a high-level programming language (Fortran/C/C++), or software package Matlab: http://matlab.math.ncu.edu.tw/ 校園授權軟體服務網裡面有關於Matlab的下載方式說明!       

Textbook: David Kincaid and Ward Cheney, Numerical Analysis: Mathematics of Scientific Computing, Third Edition, 2002, Brooks/Cole.

      http://www.ma.utexas.edu/CNA/NA3/index.html

Course Objective: This course introduces students with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background.

General Information: This course will cover the following topics

• Interpolation and approximation (Chapter 6)

• Differentiation and integration (Chapter 7)

• Numerical ordinary differential equations (chapter 8)

• Numerical partial differential equations (chapter 9)

Assignments: approximately every two weeks, will consist of theoretical problems or computer projects.

Course Transparency Set: (in PDF)

• syllabus and introduction

• approximating functions

• differentiation and integration

• numerical odes

• numerical pdes