MAT3013

From Department of Mathematics at UTSA
Revision as of 11:51, 6 August 2020 by Eduardo.duenez (talk | contribs) (Removed Topics List C (leaving only List D).)
Jump to navigation Jump to search

Foundations of Mathematics (3-0) 3 Credit Hours

Course Catalog

MAT 3013. Foundations of Mathematics. (3-0) 3 Credit Hours.

Prerequisite: MAT1214. Development of theoretical tools for rigorous mathematics. Topics may include mathematical logic, propositional and predicate calculus, set theory, functions and relations, cardinal and ordinal numbers, Boolean algebras, and construction of the natural numbers, integers, and rational numbers. Emphasis on theorem proving. (Formerly MAT2243. Credit cannot be earned for MAT3013 and MAT2243.) Generally offered: Fall, Spring, Summer. Differential Tuition: $150.

Description

Foundations of Mathematics is a pivotal course for mathematics majors. It serves as the first major step towards modern mathematics of rigorous proofs and a true pre-requisite to real analysis and abstract algebra. Up to this point students are asked to do few proofs (notably geometry and perhaps some epsilon-delta in calculus). The course particularly emphasizes set-theoretical constructions, such as functions, composition, inversion, forward and inverse images, relations, equivalence relations, partial orders, quotient sets and products and unions of sets, vital to further work in mathematics.

Evaluation

  • No makeup exams are offered.
  • An absence may be excused if sufficient evidence of extenuating circumstances is provided. In this case, the final exam grade

could be used as the grade for the missed exam.

  • Students will have access to several past exams for practice.

Text

Topics List D (Proofs and Fundamentals) Wiki Format

Date Sections Topics Prerequisite Skills Student Learning Outcomes
1.
  • 1.1-1.2
  • Prerequisites
  • Motivation for rigorous mathematics from a historical perspective
  • An understanding of where and why this course is going
1.
  • 1.1-1.2
  • Prerequisites
  • Motivation for rigorous mathematics from a historical perspective
  • An understanding of where and why this course is going
1.
  • 1.1-1.2
  • Prerequisites
  • Motivation for rigorous mathematics from a historical perspective
  • An understanding of where and why this course is going
1.
  • 1.1-1.2
  • Prerequisites
  • Motivation for rigorous mathematics from a historical perspective
  • An understanding of where and why this course is going
2.
  • 1.1-1.5
  • Prerequisites
  • Outcomes
2.
  • 1.1-1.5
  • Prerequisites
  • Outcomes
2.
  • 1.1-1.5
  • Prerequisites
  • Outcomes
2.
  • 1.1-1.5
  • Prerequisites
  • Outcomes
3.
  • 2.2-2.4
  • Prerequisites
  • Outcomes
3.
  • 2.2-2.4
  • Prerequisites
  • Outcomes
3.
  • 2.2-2.4
  • Prerequisites
  • Outcomes
3.
  • 2.2-2.4
  • Prerequisites
  • Outcomes
4.
  • 2.6, 3.1-3.3
  • Prerequisites
  • Outcomes
4.
  • 2.6, 3.1-3.3
  • Prerequisites
  • Outcomes
5.
  • 3.4-3.5
  • Prerequisites
  • Outcomes
5.
  • 3.4-3.5
  • Prerequisites
  • Outcomes
6.
7.
  • 4.1-4.3
  • Prerequisites
  • Outcomes
7.
  • 4.1-4.3
  • Prerequisites
  • Outcomes
7.
  • 4.1-4.3
  • Prerequisites
  • Outcomes
8.
  • 4.4-4.5
  • Prerequisites
  • Outcomes
8.
  • 4.4-4.5
  • Prerequisites
  • Outcomes
9.
  • 5.1-5.2
  • Prerequisites
  • Outcomes
9.
  • 5.1-5.2
  • Prerequisites
  • Outcomes
10.
  • 4.3-4
  • Prerequisites
  • Outcomes
11.
  • 6.1-6.2
  • Prerequisites
  • Outcomes
11.
  • 6.1-6.2
  • Prerequisites
  • Outcomes
12.
13.
  • 6.2-6.3
  • Prerequisites
  • Outcomes
13.
  • 6.2-6.3
  • Prerequisites
  • Outcomes
14.
  • 6.4 - 6.7
  • Prerequisites
  • Outcomes
14.
  • 6.4 - 6.7
  • Prerequisites
  • Outcomes
14.
  • 6.4 - 6.7
  • Prerequisites
  • Outcomes
15.0
  • Prerequisites
  • Outcomes

See also

Retrieved from "https://mathresearch.utsa.edu/wiki/index.php?title=MAT3013&oldid=381"