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MATH 281 Introduction to Real Analysis Units: 3.00
Taylor's theorem, optimization, implicit and inverse function theorems. Elementary topology of Euclidean spaces. Sequences and series of numbers and functions. Pointwise and uniform convergence. Power series.
Learning Hours: 132 (36 Lecture, 12 Tutorial, 84 Private Study)
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Determining convergence or divergence of a sequence of real numbers.
- Determining uniform/pointwise convergence or divergence of a sequence of functions.
- Proving properties of limits of sequences of functions.
- Using definitions to prove relationships between types of subsets of Euclidean space.
- Using the definition of continuity to prove properties of continuous functions.