MAT266 — Introduction to Real Analysis
MAT 266 - Introduction to Real Analysis MAT 266 - Introduction to Real Analysis This course provides a rigorous introduction to the concepts of axiomatics, sets, measures, functions, sequences, series, integration/differentiation and metric spaces. Emphasis will be placed on writing mathematics clearly, especially regarding proofs. Recommended for Mathematics majors or Computer Science and Engineering Science students as advised. Identify various traits of sets of real numbers and real-valued functions. Prove various results about sets of real numbers and real-valued functions. Define multiple types of convergence for sequences of numbers or functions and write proofs of convergence using various convergence theorems. Generalize the basic theory of the course to the idea of more general metric spaces.