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Creating the Next
Georgia Institute of Technology
Math 3012 Open Resources
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  • Additional Resources
    • WTT Test Archive
    • Lecture Slides (Fall 2015)
    • Presentations
  • Lecture Videos
    • Lecture 1 – Motivating Questions
    • Lecture 2 – Enumeration Basics
    • Lecture 3 – Binomial Coefficients, Lattice Paths, & Recurrences
    • Lecture 4 – Mathematical Induction & the Euclidean Algorithm
    • Lecture 5 – Multinomial Theorem, Pigeonhole Principle, & Complexity
    • Lecture 6 – Induction Examples & Introduction to Graph Theory
    • Lecture 7 – More Graph Theory Basics: Trees & Euler Circuits
    • Lecture 8 – Hamiltonian Graphs, Complexity, & Chromatic Number
    • Lecture 9 – Chromatic Number vs. Clique Number & Girth
    • Lecture 10 – Perfect Graphs, Interval Graphs, & Coloring Algorithms
    • Lecture 11 – Planar Graphs & Euler’s Formula
    • Lecture 12 – More on Coloring & Planarity
    • Lecture 13 – Introduction to Posets
    • Lecture 14 – Posets: Mirsky’s & Dilworth’s Theorems
    • Lecture 15 – Cover Graphs, Comparability Graphs, & Transitive Orientations
    • Lecture 16 – Interval Order & Interval Graph Algorithms
    • Lecture 17 – Subset Lattices
    • Lecture 18 – Inclusion/Exclusion
    • Lecture 19 – Generating Functions
    • Lecture 20 – Solving Recurrence Equations
    • Lecture 21- More on Recurrence Equations
    • Lecture 22
    • Lecture 23
    • Lecture 24
    • Lecture 25
    • Lecture 26 – Probability
    • Lecture 27 – Ramsey Numbers & Markov Chains
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Presentations

  • Graphs – Basic Concepts
  • Partially Ordered Sets – Basic Concepts
  • Euler Circuits in Graphs
  • Dijkstra’s Algorithm
  • Spanning Tree Algorithms

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