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