DokuWiki

This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong.
  - Introduction
    - [[Welcome]]
    - [[What you should know]]
    - [[Using the exercise files]]    
  - Discrete Math Uses
    - [[Basics of discrete mathematics]]
    - [[Discrete math for programming]]
    - [[Real-world discrete math]]
    - [[Abstract discrete math]]
  - Sets
    - [[Objects as sets]]
    - [[Set notation]]
    - [[Set operations]]
    - [[Power sets]]
    - [[Sequences and sums]]
    - [[Recursion]]
    - [[Cardinality, disjointness, and partitions]]
    - [[Sets from Cartesian products]]
    - [[Challenge - Practice with sets]]
    - [[Solution - Practice with sets]]
  - Setting Up SML
    - [[Functional programming]]
    - [[Datatypes]]
    - [[Characters and strings]]
    - [[Recursive functions]]
    - [[Challenge - Learn SML]]
    - [[Solution - Create new data types]]
  - Analyzing Data Sequences
    - [[Use SML to create lists]]
    - [[Perform functions on lists]]
    - [[Create datatypes that use lists]]
    - [[Challenge - Model a lunch order]]
    - [[Solution - Model a lunch order]]
  - Effective Arguments and Defensible Decisions
    - [[Valid reasoning and inference]]
    - [[Truth tables]]
    - [[Identify and evaluate predicates]]
    - [[Conditional propositions]]
    - [[Valid arguments]]
    - [[Rules of inference]]
    - [[Prove logical equivalence]]
    - [[Challenge - Write truth tables]]
    - [[Solution - Write truth tables]]
  - Proofs Made Easy
    - [[Write a general outline for a proof]]
    - [[Write subset proofs]]
    - [[Evaluate conditional proofs]]
    - [[Understand biconditional proofs]]
    - [[Prove with mathematical induction]]
    - [[Challenge: Write a proof]]
    - [[Solution: Write a proof]]
  - Advanced Discrete Math Topics
    - [[Visualize data with graph theory]]
    - [[Network optimization with trees]]
    - [[Event probability]]
    - [[Cryptography]]
    - [[Challenge - Advanced techniques]]
    - [[Solution - Advanced techniques]]
  - Conclusion
    - [[Next steps]]