Math 1007

Ideas in Mathematics
Spring 2015

COURSE SYLLABUS

READING ASSIGNMENTS

FINAL EXAM GUIDE

FINAL PRACTICE and SOLUTIONS

Problem Sets

(solutions on Canvas)

• Problem Set 1
• Problem Set 2
• Problem Set 3
• Problem Set 4
• Problem Set 5
• Problem Set 6
• Problem Set 7
• Problem Set 8
• Problem Set 9

Lecture Notes

(These are summaries of class discussion and don't always have full explanations. Ask me if there's something you're not sure about.)

• January 12: Math... do we have to?
• January 14: Inductive vs Deductive Reasoning
• January 16: Logic Modifiers
• January 21: Compound Logic Statements
• January 23: Pythagorean Triples
• January 26: Divisibility
• January 30: More on Primes
• February 4: Integers and Rationals
• February 6: Irrationals
• February 11: Real Numbers and Review
• February 12: Approximating Pi
• February 16: Convergent Sequences
• February 18: Proof by Induction
• February 20: Harmonic Series
• February 23: Sets
• February 25: Cardinality
• February 27: Cardinality II
• March 9: Fibonacci Sequences
• March 11: Golden Ratio
• March 13: Some Fractals
• March 16: Midterm 2 Review
• March 20: Probability
• March 23: Probability II
• March 25: Probability III
• March 27: Expected Value
• March 30: Game Theory I
• April 1: Game Theory II
• April 8: Graph Theory and Euler Trails
• April 10: Hamiltonian Trails
• April 13: Degrees of Separation
• April 15: Euler Number
• April 17: Applications of Euler Number
• April 22: Midterm 3 Review
• April 29: Closing Remarks and Final Review