MA 4313/6313: Numerical Analysis I - Fall 2024
Logistics
- Instructor: Prof. Seongjai Kim
- Class: 15 Allen: TR 08:00-09:15 AM
Begins on Wed 8/21 and ends on Tue 12/3.
- Office Hours: MWF 9:30-10:30 AM
- Textbook: Seongjai Kim,
Numerical Analysis using Maple and Matlab, Lecture Note.
Download
- Reference: Richard L. Burden and J. Douglas Faires,
Numerical Analysis (9th Ed.), Brooks/Cole 2011.
- Please feel free to contact me for any questions, suggestions, or problems.
Course Subjects
We will cover Chapters 1-6 of the lecture note.
- Ch.1: Mathematical Preliminaries
- Ch.2: Solutions of Nonlinear Equations
- Ch.3: Interpolation and Polynomial Approximation
- Ch.4: Numerical Differentiation and Integration
- Ch.5: Numerical Solution of Ordinary Differential Equations
- Ch.6: Gauss Elimination and Its Variants
- Ch.7: Approximation Theory (when time is available)
The class will also cover research topics.
The main theme of the class is interpolation.
We will deal with Surface Reconstruction for Point Cloud Data,
in detail in a research level.
If you have something else in your mind which can be shared with
your classmates, please let me know; I will organize projects in that
direction.
Learning Objectives
-
To provide advanced undergraduate students and early year graduate students
with a solid mathematical background for numerical methods.
-
To recognize mathematical issues that arise in scientific computing.
-
To discuss recent approaches in scientific computing.
See details:
MA-4313-6313-NA1-Syllabus.pdf
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