MA/CS 371 - Course Outline
A potential list of topics to be covered include:
Introductory Material
- Taylor Series
- Taylor's Theorem
- Mean Value Theorem
Number Representation
- Bases
- Floating Point
- Errors
Roots of Equations
- Bisection Method
- Newton's Method
- Secant Method
Interpolation
- Polynomials
- Errors
- Derivative Estimation
Numerical Integration
- Definite Integral
- Trapezoid Rule
- Simpson's Rule
- Gaussian Quadrature
Systems of Linear Equations
- Gaussian Elimination
- Banded Systems
- LU Factorization
Spline Functions
- First Degree
- Second Degree
- Cubic Splines
Ordinary Differential Equations
- Taylor Series Methods
- Runge-Kutta Methods
Return to MA/CS 371 Home Page