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Math 331: Foundation of Mathematics (3)

Course Description. An introduction to set theory, logic, and methods of proof. Functions and their applications are also covered.

Prerequisites: MATH 241

Required Reading / Textbook:
Smith, Eggen, St. Andre, “A Transition to Advanced Mathematics” 7th edition
ISBN-10: 0-495-56202-5
ISBN-13: 987-0-495-56202-3

Learning Outcome:

  • Effectively develop and write mathematical proofs in a clear and concise manner.
  • Effectively express themselves both orally and in writing using well constructed arguments.
  • Locate and use information to prove and disprove mathematical results.
  • Demonstrate ability to think critically by proof by induction, contraposition, and contradiction.
  • Demonstrate the understanding of the difference between a conjecture, an example, and a rigorous mathematical proof.
  • Demonstrate the ability to integrate knowledge and idea in a coherent and meaningful manner for constructing well-written mathematical proofs.

Course Objectives:
To introduce students to the basic ideas of logic, set theory, relations, and functions that are necessary for the study of advanced mathematical topics. Students will be introduced to the investigation, developing, conjecturing and proving or disproving of mathematical results. Students will be given the reasoning techniques and language tools necessary for constructing well-written arguments.

Major Assignments/Exams

  • Homework
  • Quizzes
  • Exams
  • Final Exam

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