AS/SC/AK/ MATH 3110 3.0 F

Introduction to Mathematical Analysis

      Proofs in calculus and analysis. Topics include sets, functions, axioms for R, applications of the completeness axiom, countability, sequences and their limits, monotone sequences, limits of functions, continuity.
      This course provides a path towards an honours degree for those students who have not taken the honours first year calculus course MATH 1010 3.0. The course MATH 3210 3.0, which is required for several honours programmes, has this course as an alternative to MATH 1010 3.0 as a prerequisite.
      The course will emphasize the theoretical aspects of the subject. A principal goal of the course is learning to understand the various definitions and to use them to prove basic properties of the objects being defined. The structure of proofs and the basic logic underlying them will be carefully considered. Relatively little effort will be devoted to problems involving calculations, except when they are useful for explaining the concepts.
      The final grade will be based on written assignments, two class tests, and a final examination. The exact scheme will be announced during the first week of classes.
      The text will be Bartle and Sherbert, Introduction To Real Analysis (Wiley).