Learning Objectives, MAT360: Numerical Analysis
At the end of this course a student will
- Understand how and why errors creep into mathematical calculations;
- Understand how to minimize the damage done via this error creep;
- Be able to construct and implement reasonable algorithms for mathematical computations;
- Appreciate the limits of numerical computation;
- Appreciate how mathematics is used in design (e.g. splines);
- Appreciate the power of iteration -- doing something, then doing it again to improve it, then looping;
- Unlearn (if ever learned) the notion that mathematics is all about getting "the right answer";
- Learn to feel good about approximation, especially approximation with error bounds;
- Hone the ability to do reality checks on calculations;
- Hone the ability to communicate mathematics.
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