

Course ID:  MATH 3200. 3 hours. 
Course Title:  Introduction to Higher Mathematics 
Course Description:  Preparation in mathematical reasoning and proofwriting necessary for upper division course work in mathematics. Topics include logic, integers and induction, sets and relations, equivalence relations and partitions, and functions (including injectivity and surjectivity). 
Oasis Title:  Intro to Higher Mathematics 
Prerequisite:  MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H or MATH 2270 or MATH 2500 
Semester Course Offered:  Offered fall, spring and summer semester every year. 
Grading System:  AF (Traditional) 

Course Objectives:  This is an introductory course aimed at teaching students the art
of reading and writing mathematical proofs. Topics are chosen
from logic, the integers and induction, sets and relations,
equivalence relations and partitions, and functions. Students
will be expected to write detailed simple mathematical proofs.
This course should prepare students for advanced work in
mathematics. 
Topical Outline:  1. Basic mathematical language and logic: statements, converses,
contrapositives. Negation and quantifiers. Proofs by
contradiction. Basic properties of sets.
2. The positive integers and proof by mathematical induction.
3. Functions, inverse functions, image and preimage. Injective,
surjective, bijective functions.
4. Relations, equivalence relations. Fundamental example of
modular arithmetic. 