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Revision of Taylor Series
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Numerical
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Numerical
Solutions of Equations
The recommended text for this part of the course is
Advanced Engineering Mathematics
by E. Kreyseig, The detailed notes given here provides additional material and are not intended to replace the lecture notes.
Subsections
Revision of Taylor Series
Approximate Numerical Methods for Root Finding
Forms of Numbers and Numerical Errors
Approximate Numerical Methods
Newton-Raphson Method
Stopping Criterion
Error Estimate for the Newton-Raphson Method
Summary of Newton-Raphson
Other Iterative Schemes
Convergence of Fixed-Point Iteration, Error Analysis
Summary
Logistic Equation
Summary
Revision of Partial Differentiation
Taylor Series for Functions of Two Variables
Prof. Alan Hood
2000-02-01