1.1. Sources of Errors: Modeling errors, data errors, approximate values, error propagation, relative and absolute errors, floating-point arithmetic, the IEEE 754 standard, rounding errors, truncation errors, exact significant digits, and numerically unstable operations.
1.2. Conditioning and Stability: Examples of numerical instabilities, conditioning of a problem.
1.3. Methods and Algorithms: Exact methods, approximate methods, and iterative methods.


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