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(MATH 301) Foundations of Mathematics

Set theory, logic, development of number systems and axiomatic systems. Attention is also given to the history of mathematics and famous mathematicians.

Credit Hours 3.0 Lecture
Prerequisite MATH 212
Offered Fall - even years, winter - even years, spring - odd years
Programs Mathematics Minor, Math Education (BS), Physics Education (BS), Mathematics (BS)

Course Learning Outcomes

  1. Students need this proficiency to understand problems and proofs.
  2. The student will use concepts from calculus in the study of analysis and sequences.
  3. The student will be able to learn content knowledge that is essential to develop proofs. This will be followed in Chapters 5 and onward with new material, definitions and proofs.
  4. This is the main emphasis of the course. A student will be introduced to and develop the skill of organizing and writing original proofs.
  5. Students will be able to write solutions in a logical and cohesive manner; likewise, oral explanations are very important for the successful student. These will be developed throughout the course and will subsequently impact their success in upper-division courses.
  6. Applications and examples are given to reinforce concepts. They will not be used extensively. Student should therefore be able to present examples to others in helping them understand the concepts and definitions.
  7. Technology is not a main objective in this course. Minimal use may be involved to illustrate and reinforce concepts and definitions. Students maybe introduced to writing proofs in Latex or a similar program for writing mathematics.
  8. While the course minimally prepares students for employment or graduate school, it enables students to begin their journey in their decision for graduate school, employment, or other decisions.