Course Handout: See Moodle.
A Transition to Advanced Mathematics by Douglas Smith, Maurice Eggen and Richard St. Andre
Mathematical Thinking: Problem-Solving and Proofs by John P. D'Angelo and Douglas B. West
January 4: abridged version of Chapter 2.
January 9: abridged version of Chapter 2, Chapter 3-Chapter 5.
January 11: Technology Evaluation, Chapter 1, Chapter 3-Chapter 5.
January 16: Chapter 3-Chapter 5.
January 18: Chapter 3-Chapter 5.
January 23: Chapter 3-Chapter 5.
January 25: Chapter 6.
January 30: Equivalency of WOP, PMI and PMI(SF).
February 1: Equivalency of WOP, PMI and PMI(SF), Chapter 7, Chapter 8.
February 6: Chapter 7, Chapter 8.
February 8: Chapter 7, Chapter 8.
February 13: Chapter 9.
February 15: Catch-up.
February 20: Chapter 9, construction of integers and construction of rational numbers.
February 22: Q&A, Chapter 9, construction of integers and construction of rational numbers.
February 24: Winter break, no class.
February 27: Winter break, no class.
March 5: Test 1.
March 7: Discussion of Test 1, Chapter 9, construction of integers and construction of rational numbers.
March 12: Chapter 9, Chapter 10.
March 14: Chapter 9, Chapter 10.
March 19: Chapter 10
March 21: Chapter 10, Cancellation laws for function compositions.
March 26: Chapter 11.
March 28: Chapter 11.
April 2: Q&A, Chapter 11.
April 4: Test 2.
April 9: Discussion of Test 2, Chapter 11, additional topics.
April 11: Addition topics.
April 16: Q&A, addition topics on video: More Axiom of Choice, Zorn's Lemma, every vector space has a basis.
For the exercises in the book, you may use either a direct proof or indirect proof even if the question asks for a specific one. After reviewing the exercise sets, I concluded that all the questions from Chapter 1 to Chapter 11 are appropriate.