EEL 3420
Notes.

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The notes are presented in order. Error Calculations

• Errors in representation
• Taylor series and its errors
• Error Convergence and Propagation

Root Finding Techniques for Single Variable

• Root Finding Techniques bracket methods
• Root Finding Techniques fixed point methods
• Root Finding Examples
• Why the root finding methods work

Matrices

• Basic operations, theorems, definitions
• Linear independence
• Eigenvalues and eigenvectors

Solutions to Systems of Equations

• Gaussian Elimination Method
• Gaussian Elimination Algorithm
• Gauss Jordan Method
• Gauss Seidel Method
• Systems of Non-Linear Equations

Curve Fitting (Regression)

• Least Squares Regression
• Polynomial Regression
• General Least Squares Regression

Curve Fitting (Interpolation)

• Linear and Quadratic Interpolation
• Newton's Method for Interpolation
• Lagrange Method for Interpolation

Numerical Integration

• Trapezoidal Rule
• Simpson's 1/3 Rule
• Simpson's 3/8 Rule
• Romberg Integration

Numerical Differentiation

• Numerical Differentiation

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email: fgonzale@pegasus.cc.ucf.edu