College of the Holy Cross, Fall 2017

Syllabus for Math 243 (Mathematical Structures)

Professor Hwang, (rhymes with song)

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Do not make travel plans that conflict with the midterm tests or your final exam. If an emergency prevents you from taking the final exam at the allotted time, speak to your Class Dean immediately to arrange for an incomplete grade, and to me to schedule a make-up exam.

The schedule below is subject to minor changes. Any substantial corrections will be announced by email and/or in class.

Day Date Section Topics
M Aug 28   Advising
W Aug 30 Section 1.1-1.2 Statements and Logical Connectives
F Sep 1 Section 1.3-1.4 Quantifiers, Truth Tables
M Sep 4 Section 2.1 Sets and Set Operations
W Sep 6 Section 2.2 Partitions and Mappings
F Sep 8 Section 3.1-3.2 The Peano Axioms, Induction
M Sep 11 Section 3.3 Counting
W Sep 13 Section 4.1 Properties of the Integers
F Sep 15 Section 4.2 The Division Algorithm
M Sep 18 Section 4.3 Greatest Common Divisors
W Sep 20 Section 5.1 Primes
F Sep 22   Midterm 1
M Sep 25 Section 5.2 Factorization
W Sep 27 Section 6.1 Congruence
F Sep 29 Section 6.2 Units and Inverses
M Oct 2 Section 6.3 Linear Congruences
W Oct 4 Section 6.4 Fermat's Little Theorem
F Oct 6 Section 7.1 Images and Preimages
M Oct 9   Fall Break
W Oct 11   Fall Break
F Oct 13   Fall Break
M Oct 16 Section 7.2 Surjectivity and Injectivity
W Oct 18 Section 7.3 Composition and Inversion
F Oct 20 Section 7.4 Equivalence Relations
M Oct 23 Section 8.1 Binary Operations
W Oct 25 Section 8.2 Properties of Binary Operations
F Oct 27   Midterm 2
M Oct 30 Section 9.1 Axioms for the Real Numbers
W Nov 1 Section 9.2 Complex Numbers
F Nov 3 Section 9.3 Integer Powers
M Nov 6 Section 9.4 Mappings
W Nov 8 Section 10.1 Sets of Real Numbers
F Nov 10 Section 10.2 Upper and Lower Bounds
M Nov 13 Section 10.3 Suprema
W Nov 15 Section 10.4 Sets of Complex Numbers
F Nov 17 Section 11.1 Sequences
M Nov 20   Midterm 3
W Nov 22   Thanksgiving
F Nov 24   Thanksgiving
M Nov 27 Section 11.2 Convergence
W Nov 29 Section 11.3 Convergence Criteria
F Dec 1 Section 11.4 Algebraic Properties of Limits
M Dec 4 Section 11.5 Subsequences
W Dec 6 Section 11.6 Cauchy Sequences
F Dec 8 Section 11.7 Infinite Series