Mathematical Analysis
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Analysis is a subject in pure mathematics which develops rigorous proofs
of the fundamental concepts used in calculus. The ideas of limits, which are
so fundamental to calculus, are surprisingly subtle, and a complete
understanding of them is well beyond the scope of calculus courses.
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The key skills are to write mathematical proofs involving the
careful, formal definitions of:
- Limits
- Continuity
- Integrals and derivatives