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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)  
Requirements: Prerequisite MATH 120 or MATH 121 or MATH 124.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Determining convergence or divergence of a sequence of real numbers.
  2. Determining uniform/pointwise convergence or divergence of a sequence of functions.
  3. Proving properties of limits of sequences of functions.
  4. Using definitions to prove relationships between types of subsets of Euclidean space.
  5. Using the definition of continuity to prove properties of continuous functions.