MTHE 281 Introduction To Real Analysis Units: 3.50
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.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: APSC 172
Corequisites:
Exclusions:
Offering Term: W
CEAB Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0
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.