MATH 4700 - Real Analysis II

(3) Credit Hours
Prerequisite: MATH 3700
This course introduces students to the fundamentals of mathematical analysis at an adequate level of rigor. The four core components covered in the course are (i) multi-dimensional spaces with a focus on three-dimensions as a metric space, (ii) elements of point set topology in 3-space (iii) the classical theory of differentiation and integration in 3-space (iv) curves and surfaces in 3-space. After completing this course, students should be able to: (1)Explain and restate theorems and definitions in different contexts and as they apply to special cases in each of the four core components of the course.(2)Identify which theorems and definitions apply to various situations in each of the four core components of the course. (3)Construct proofs in each of the four core components of the course. (4)Use the theorems and techniques to solve problems in each of the four core components of the course (5)Use the theorems and techniques to solve problems in each of the four core components of the course.