Math 301 - Foundations of Mathematics - Spring 2025

Class Information

Instructor: Tuan Pham
Class meetings: M, W, F: 11 AM - 12:30 PM at SCB 303
[Syllabus]   [Class schedule]   [Canvas]   [Textbook]  

Office Hours

Monday, Wednesday, Friday: 12:30 - 2 PM at SCB 316, or by appointment

Assignments

  • Weekly homework is to be turned in on paper. The list of homework sets is here.
  • Some problems are to be typed with LaTeX and submitted on Canvas in tex and pdf. LaTeX grading rubric
  • Some problems are to be presented in class. Oral grading rubric
  • Quizzes are given in class. See the class schedule above.
    [Quiz 1]   [Quiz 2]   [Quiz 3]   [Quiz 4]   [Quiz 5]   [Quiz 6]  

    • Lecture notes

    Lecture notes were taken by Marc Esquivel. Here is the breakdown of topics:
  • Lecture 23 (Jun 25): Practice on proving injectivity and surjectivity; Final Exam review
  • Lecture 22 (Jun 23): Injective, surjective, bijective functions
  • Lecture 21 (Jun 20): Functions, domain, range, image
  • Lecture 20 (Jun 18): Practice on equivalence relations; function as a relation
  • Lecture 19 (Jun 16): Equivalence relation, equivalence classes
  • Lecture 18 (Jun 13): Properties of a relation
  • Lecture 17 (Jun 11): Practice proving by induction (cont.); relation
  • Lecture 16 (Jun 9): Practice proving by induction
  • Lecture 15 (Jun 6): Proving that limit doesn't exist; mathematical induction
  • Lecture 14 (Jun 4): Limit of a function
  • Lecture 13 (Jun 2): Limit of a sequence
  • Lecture 12 (May 28): Practice proving quantified statements; Midterm Exam review
  • Lecture 11 (May 23): Quantified statements
  • Lecture 10 (May 21): Proof of irrationality of numbers
  • Lecture 9 (May 19): Proof of inequalities involving absolute values (cont.)
  • Lecture 8 (May 16): Proof of inequalities involving absolute values
  • Lecture 7 (May 14): Proof by contrapositive
  • Lecture 6 (May 12): Proof of inequalities involving fractions
  • Lecture 5 (May 9): Direct proof, modular arithmetic, proof of inequalities
  • Lecture 4 (May 7): Practice writing definitions
  • Lecture 3 (May 5): Conditional statements
  • Lecture 2 (May 2): Writing etiquette, statements, truth tables
  • Lecture 1 (Apr 30): Sets, set notations, number systems

    • Supplement materials

  • Overleaf: online tool for LaTeX

    • Links

    Joseph F. Smith Library, Math Lab
    This page was last modified on Monday, Jul 14, 2025.