1: Introduction
- Page ID
- 126377
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- 1.01: Introduction to Numerical Methods
- Introduction to numerical methods, or techniques to approximate mathematical processes such as integrals, differential equations, or nonlinear equations when the procedure cannot be solved analytically or the analytical method is infeasible.
- 1.02: Quantifying Errors
- Methods of quantifying error, including true, relative true, approximate, and relative approximate errors. The relationship between the number of significant digits correct and the relative approximate error.
- 1.03: Sources of Error
- Discussion of round-off and truncation errors, how they arise, and examples of the problems they can create.
- 1.04: Fixed-Point Binary Representation of Numbers
- Conversion between decimal and binary representation of numbers; representing numbers in fixed-point binary form.
- 1.05: Floating-Point Binary Representation of Numbers
- Floating-point binary representation of numbers, with and without biased exponents. Discussion of the accuracy of such representations.
- 1.07: The Taylor Theorem Revisited
- Review of the Taylor Theorem. Overview of the role played by its applications in numerical methods.