The University of Toledo
Existing Course Modification Form
Contact Person: Gwen Terwilliger Phone: 2989 Email: mailto:gterwil@utoledo.edu
Present
Course Alpha/Number MATH 3190
Course Title Introduction
to Mathematical Analysis
Credit Hours 3.0
Prerequisite(s) MATH 1860
Catalog Description (only if changed) Designed to prepare students for higher mathematics. Techniques and fundamentals of proving
theorems including proofs by induction.
The course will include elementary logic and set theory, a discussion of
the real number system and the proofs of the basic theorems of differential
calculus. Prerequisite: MATH1860
Proposed
Prerequisite(s) MATH 2850 (or 3860)
Catalog Description Designed
to prepare students for higher mathematics. Techniques of proving theorems,
including proofs by induction, elementary set theory, equivalence relations and
a discussion of the real number system .
Proofs of some basic theorems from algebra, calculus or number theory
will be studied. Prerequisite: MATH2850 (or 3860)
Reason for change: The syllabus change will allow instructor
to use a broader selection of mathematical topics in introducing the techniques
of higher mathematics. Also raising the prerequisite to Calculus III from
Calculus II will give students some exposure to vector spaces which should
increase their preparation for understanding other axiomatic structures in
MATH3190. Effective: Fall 2003