The core of this course is a careful study of continuity and limits of real functions and convergence of real sequences and series, in addition to basic topology of the real line. Limit points and subsequences are discussed, leading to the Bolzano-Weierstrass theorem and the concept of a compact set. Metric spaces are introduced. Prerequisites: a minimum grade of C in MATH 2200 and a minimum grade of C in one of MATH 3070, MATH 3080, MATH 3120 or MATH 3220.
The core of this course is a careful study of continuity and limits of real functions and convergence of real sequences and series, in addition to basic topology of the real line. Limit points and subsequences are discussed, leading to the Bolzano-Weierstrass theorem and the concept of a compact set. Metric spaces are introduced. Prerequisites: a minimum grade of C in MATH 2200 and a minimum grade of C in one of MATH 3070, MATH 3080, MATH 3120 or MATH 3220.
