Introductory Material
Taylor Series
Taylor's Theorem
Mean Value Theorem
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
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