Mississippi Valley State University
CS 431: Numerical Analysis I

Click here for the syllabus of this class.
The class schedule and the material from the Holistic Numerical Methods Institute (HNMI) is as follows:

Text Book Chapters
Topics Covered
Weeks
HNMI References

Mathematica Fundamentals
Mathematica Assignment#1


Sample1, Sample2, Sample3 Mathematica code
1

Chapter 4
Round off and Truncation Errors
  • Errors
  • Roundoff Errors
  • Truncation Errors
  • Total Numerical Error
Chapter4: PowerPoint Slides

1
Introduction
Errors
Chapter 5 & 6
Roots and Optimization
  • Introduction
  • Bisection
  • Newton-Raphson
  • Secant
Mathematica Assignment#2: Bisection and Secant Methods
3
Bisection
Newton-Raphson
Secant
Chapter 9, 10 & 12
Linear Systems
  • Gauss Elimination (Naive)
  • Pivoting
  • LU Factorization
  • Iterative Methods: Gauss-Seidal
3
Introductory Concepts
Gauss Elimination
LU Factorizatiton
Iterative Methods
Chapter 17
Integration
  • Introduction
  • The Trapezoidal Rule
  • Simpson's Rules
Programming Assignment #5
3
Introduction
The Trapezoidal Rule
Simpson's Rules
Chapter 15 Curve Fitting
  • Introduction to Interpolation
  • Direct Methods
  • Lagrangre Interpolating Polynomial
3
Interpolation
Introduction (pdf)
Direct Methods
Langrange Interpolation

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