Math 20630 Spring 20 - Schedule

  • Wednesday, Jan 15: Chapter 3: Induction, pages 50 – 56

  • Friday, Jan 17: Chapter 3: Weak and Inductio, pages 57-64

  • Wednesday, Jan 22: Chapter 3, pages 65-71

  • Friday, Jan 24: Finish Chapter 3. Read Chapter 1, pages 6-10 for intro to sets.

  • Monday, Jan 27: Chapter 4 (pages 80-87). Read Chapter 1, pages 10-14 for intro to functions.

  • Wednesday, Jan 29: Chapter 4 (pages 80-87)

  • Friday, Jan 31: Chapter 4 (pages 80-87). Note that the treatment of inverse functions in class was different from the book.

  • Monday, Feb 03: Chapter 4 (pages 87-94). Note that the treatment of inverse functions in class was different from the book.

  • Wednesday, Feb 05: Chapter 4 (pages 87-94)

  • Friday, Feb 07: Finish Chapter 4, Chapter 2 (pages 26 – 34)

  • Monday (Feb 10): Chapter 2 (pages 26 – 34)

  • Wednesday (Feb 12): Chapter 2 (pages 34 – 44)

  • Friday (Feb 14): Chapter 1, pages 6-10 for intro to sets.

  • Monday (Feb 17): Chapter 5, pages 100 to 104

  • Wednesday (Feb 19): Chapter 5, pages 104 to 110

  • Friday (Feb 21): Chapter 5

  • Monday (Feb 24): Chapter 5

  • Wednesday (Feb 26): Review

  • Friday (Feb 28): Midterm 1

  • Monday (Mar 02): Chapter 6: Division Theorem

  • Wednesday (Mar 04): Chapter 6: Divisibility and primes, Uniqueness of Prime Factorization

  • Friday (Mar 06): Chapter 6: Divisibility and primes, GCD

  • Mar 07 – Mar 22: Extended Spring Break

  • Monday (Mar 23): Chapter 6: Euclidean algorithm, integer combinations and LCM

  • Wednesday (Mar 25): Applications of uniqueness of prime factorization

  • Friday (Mar 27): Chapter 7: Relations and their properties. Equivalence Relations

  • Monday (Mar 30): Chapter 7: Congruence relations, addition and multiplication mod n

  • Wednesday (Apr 01): Chapter 7: Subtraction and division mod n

  • Friday (Apr 03): Chapter 7: Multiplicative Inverses and solving congruence equations

  • Monday (Apr 06): Chapter 7: Chinese Remainder Theorem

  • Wednesday (Apr 08): Chapter 7: Fermat’s Little Theorem and RSA encryption

  • Apr 10 – Apr 13: Easter Break

  • Wednesday (Apr 15): Groups and Fields (page 17 in the book)

  • Friday (Apr 17): Consequences of Field axioms

  • Monday (Apr 20): Order Axioms (page 17) and Chapter 13: Completeness axiom

  • Wednesday (Apr 22): Chapter 13: Completeness axiom and the Archimedean Property

  • Friday (Apr 24): Chapter 13: Limits of sequences

  • Monday (Apr 27): Chapter 13: Limits of sequences, and the Monotone Sequence Theorem

  • Wednesday (Apr 29): Chapter 13: Monotone Sequence Theorem, Series and Decimal Expansions