MATH 2001-003, Introduction to Discrete Mathematics

Schedule

Sections refer to Hammack's book. Required readings are in black, optional reading in gray.
Week \\ Day M W F
1 - 1/13 -
  • Intro
  • Plato's 'Meno'      - 1/15 -
  • 1.1-1.4 (sets)   - 1/17 -
    • 2 MLK, no class - 1/20 -
  • 1.5-1.8 (sets) - 1/22 -
  • 2.1-2.2 (logic) - 1/24 -
    • 3 - 1/27 -
  • Chapter I: The Academy at the
    Time of Aristotle's Entrance,
    from Jaeger's 'Aristotle'
  • Chapter XV: Aristotle's Place in History,
    from Jaeger's 'Aristotle'
    		• - 1/29 -
  • 2.3-2.6 (logic)
    		• - 1/31 -
  • 2.7-2.11 (logic)
    • 4
  •     - 2/3 - Chapter IX: Logic, the Tool of Philosophy,
    from Guthrie, 'A History of Greek Philosophy,
    Vol. VI: Aristotle, an Encounter'
  • Chapter X: The Road to Knowledge,
    from Guthrie, 'A History of Greek Philosophy,
    Vol. VI: Aristotle, an Encounter'
  • - 2/5 - MacLane, Chapter 2   
    (natural numbers)
  • - 2/7 - MacLane, Chapter 3   
    (Euclidean geometry)
  • Hilbert's 'Foundations of
    Euclidean Geometry'
    • 5
  • - 2/10 - Aristotle Part 3
  • - 2/12 - MacLane, Chapter 4
    (real numbers)
  • Review
    		• - 2/14 -
    Exam 1
     
     
    6 - 2/17 -
  • Chapters III and V of Heath,
    'A Manual of Greek Mathematics'
    (Pythagoras)
    		• - 2/19 -
  • 3.1-3.3,   3.7 (counting)
    		• - 2/21 -
  • 3.4-3.6 (counting)
    • 7 - 2/24 -
  • Chapter IX of Heath, 'A Manual
    of Greek Mathematics' (Euclid)
    		• - 2/26 -
  • Pythagorean identities
    		• - 2/28 -
  • Pythagorean theorem I
    • 8 - 3/2 -
  • Chapter IX of Heath, 'A Manual
    of Greek Mathematics' (Euclid)
    		• - 3/4 -
  • 3.1-3.6 (counting), Pythagorean theorem II
    		• - 3/6 -
  • 3.1-3.6
    • 9 - 3/9 -
  • 3.8-3.10 (binomial theorem)
    		• - 3/11 -
  • 4.1-4.5 (direct proof)
    		• - 3/13 -
  • 5.1-5.3 (contrapositive)
    • 10 - 3/16 -
  • Descartes (read Wells, Chapters 1-2, and Gilson, Chapters V-VIII)
    		• - 3/18 -
  • 6.1-6.4 (proof by contradiction),
    Review
    		• - 3/20 -
    Exam 2
     
    S  P  R  I  N  G     B  R  E  A  K
    11 - 3/30 -
  • 7.1-7.4 (nonconditionals)
    		• - 4/1 -
  • 8.1-8.4 (proofs and sets)
    		• - 4/3 -
  • 8.3-8.4, 9.1-9.3 (disproof)
    • 12 - 4/6 -
  • 10.1-10.2 (induction)
    		• - 4/8 -
  • 10.4-10.5 (FTA and Fibonacci)
    		• - 4/10 -
  • 11.1-11.5 (equivalence relations)
    • 13 - 4/13 -
  • 11.6, 12.1-12.2 (relations and functions)
    		• - 4/15 -
  • 12.3-12.6 (functions)
    		• - 4/17 -
  • 13.1-13.3 (limits)
    • 14 - 4/20 -
  • 13.4-13.6 (limits and continuity)
    		• - 4/22 -
  • 13.7-13.8 (sequences and series)
    		• - 4/24 -
  • 14.1-14.2 (cardinality)
    • 15 - 4/27 -
  • 14.3-14.4 (cardinality)
    		• - 4/29 -
  • Review
    		• - 5/1 - Reading Day, no class
    Final Exam on Wednesday, May 6, from 1:30pm to 4pm in the usual classroom.