Courses Catalogue

Real Analysis I

COURSE CODE: MAT1201
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Education (Mathematics) - B.Ed
COLLEGE/SCHOOL/FACULTY: College of Education, Open and Distance Learning
STATUS: Elective
PROGRAMME TYPE: Undergraduate

Course Description

COURSE DESCRIPTION

Real Analysis is one of the fundamental areas of mathematics, and is the foundation for the study of many advanced topics, not only in mathematics, but also in physics, engineering, economics, and many other areas. Topics include the least upper bound property, an introduction to set operations, basic topological concepts, and theoretical treatment of the real number system, sequences, series, limits, continuity, differentiability and elements of Topology such as Open, Closed and Compact sets.

EXPECTED LEARNING OUTCOMES

By the end of this course unit, students should be able to:

·         Explain concepts like least upper bound property,

·         work with sets operations, basic topological concepts, and theoretical treatment of the real number system,

·         find limits of sequences, series,

·         Limits, continuity, differentiability of functions.

·         Understand concepts of Topology such as Open, Closed and Compact sets.