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MAT 2125

Elementary Real Analysis

3 units

Library resources

Winter 2017

Topics

  • Completeness and bounds in the real numbers
  • Sequences, series and convergence tests
  • Euclidean topology and compactness
  • Continuity, uniform continuity and differentiability
  • Riemann integration and improper integrals
  • Uniform convergence of function sequences
  • Power, Taylor and Fourier series

Readings

  • Elementary Real Analysis
    Brian S. Thomson; Judith B. Bruckner; Andrew M. Bruckner · Recommended open text
  • Basic Analysis: Introduction to Real Analysis
    Jiří Lebl · Recommended open text
  • Lecture notes / supplementary course reference
Sources