MATH 1300 -- Contemporary Mathematics

Summer II 2015

Instructor: Josh Engwer

"Mathematics, you see, is not a spectator sport." -- George Polya, circa 1969.

Course Syllabus

Course Calendar:

(OUTLINES) -- Lecture outlines.  Print this out beforehand & bring it with you to lecture.  Boxed problems will be worked during lecture.

(SLIDES) -- Lecture slides.  Slides will be presented during lecture.  View slides in a PDF viewer in "Presentation Mode."

(NOTES) -- Supplemental Lecture Notes (in square brackets) and/or Remarks relevant for that lecture.

DATE: OUTLINES: SLIDES: NOTES: DESCRIPTION:
07/07 Tues 8.1
8.2
8.1
8.2
[EX 8.2.{2,5} SOLUTIONS] Finance: Percentages
Finance: Interest
07/08 Wed 8.3
8.4
8.3
8.4
  Finance: Consumer Loans
Finance: Annuities
07/09 Thurs 8.5
8.6
8.5
8.6
[EX 8.6.2 SOLUTIONS] Finance: Amortization
Finance: Annual Percentage Rate (APR)
07/09 Thurs **** **** EXTENDED OFFICE HOURS: 10am - 2pm, MATH 003A LAST-MINUTE HELP FOR EXAM 1
07/10 Fri **** **** EXAM 1 Info/Logistics/Advice EXAM 1
07/13 Mon 10.1 10.1   Apportionment: Hamilton & its Paradoxes
07/14 Tues 10.3 10.3 [EX 10.3.1 SOLUTIONS]
[MORE PRACTICE]
Apportionment: Jefferson, Adams, Webster
07/15 Wed
11.2
11.1
11.2
(The 11.2 Outline implicitly contains the 11.1 Outline) Voting: Plurality, Borda Count, Plurality-with-Elim., Pairwise Comp.
Voting: Majority, Condorcet, IIA, Monotonicity Criteria
07/16 Thurs 11.3 11.3 Weighted Voting Systems: Intro, Coalitions, Banzhaf Power Index
07/16 Thurs **** **** EXTENDED OFFICE HOURS: 10am - 2pm, MATH 003A LAST-MINUTE HELP FOR EXAM 2
07/17 Fri **** **** EXAM 2 Info/Logistics/Advice EXAM 2
07/20 Mon 3.1
3.2
3.1
3.2
[EX 3.2.{3,6} SOLUTIONS] Logic: Connectives, Quantifiers, Negation of Quantified Statements
Logic: Truth Tables, Logical Equivalence, DeMorgan's Laws
07/21 Tues 3.3
3.4
3.3
3.4
[EX 3.4.{2,3,6} SOLUTIONS]
Logic: Conditional, Biconditional (iff)
Logic: Verifying Arguments with Truth Tables
07/22 Wed 3.5 3.5   Logic: Verifying Quantified Arguments with Euler Diagrams
07/23 Thurs 4.1 4.1   Graph Theory: Intro, Tracable Graphs, Euler Paths/Circuits
07/24 Fri 4.2
4.3
4.2
4.3
Graph Theory: Hamilton Paths/Circuits, Weighted Graphs, TSP
Graph Theory: Directed Graphs
07/27 Mon **** **** LAST DAY TO DROP REVIEW FOR EXAM 3
07/27 Mon **** **** EXTENDED OFFICE HOURS: 10am - 2pm, MATH 003A LAST-MINUTE HELP FOR EXAM 3
07/28 Tues **** **** EXAM 3 Info/Logistics/Advice EXAM 3
07/29 Wed 13.1
13.2
13.1
13.2
  Probability: Sample Spaces, Events, Odds
Probability: Unions, Intersections, Complements of Events
07/30 Thurs 13.3
13.4
13.3
13.4

[EX 13.3.1 SOLUTIONS]

Probability: Conditional Probability, Indepedence of Events
Probability: Expected Value, Fairness of Games of Chance
07/31 Fri 14.1 14.1   Statistics: Frequency Tables, Histograms, Stem-and-Leaf Displays
08/03 Mon 14.2
14.3
14.2
14.3
[EX 14.2.{3,5} SOLUTIONS] Statistics: Measuring Central Tendency with Mean, Median, Mode
Statistics: Measuring Dispersion with Range, Standard Deviation
08/04 Tues 14.4
14.4

Statistics: Normal Distributions, 68-95-99.7 Rule
REVIEW FOR FINAL EXAM
08/05 Wed **** **** REVIEW FOR FINAL EXAM
08/05 Wed **** **** EXTENDED OFFICE HOURS: 10am - 2pm, MATH 003A LAST-MINUTE HELP FOR FINAL EXAM
 08/06  Thurs **** ****  FINAL EXAM Info/Logistics/Advice FINAL EXAM

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