Mathematical Techniques for Computing

      • More Examples: Unit 1
      • More Proof Examples - And Demystifying Proofs
        • Tutorial 1: Propositions, Predicates, First-Order Logic
        • Unit 1: Propositions, Predicates, First-Order Logic, Proofs
        • Unit 2: Introduction to Sets, Notations and Operations
        • Unit 3: Relations
        • Unit 4: Induction, Recurrences
        • Unit 5: Asymptotic Notation, and Algorithmic Analysis
        • Unit 6: Combinatorics
        • Unit 7: Graph Theory
        • Unit 8: Basic Probability
        • Unit 9: Probability Distributions, Expectation, Variance, Deviations
      • Class Schedule
      • Module Goals
      • Old Video List
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    Old Video List

    Old Video List

    Jan 20, 20261 min read

    This is the old set of videos made from last year, if you find them useful you may use these as well.

    Week 2 Videos: Unit 1 - Part 1

    1. Introduction to Propositions and Logical Connectives
    2. Behaviour of Logical Connectives, Truth Tables, Logical Equivalences

    Week 3 Videos: Unit 1 - Part 2

    1. Predicates and Quantifiers for First-Order Logic

    Week 4 Videos: Unit 1 - Part 3

    1. First Example of a Proof, Premises, Conclusions
    2. Rules of Our Proof System
    3. Proof Strategies, and Steps in Proofs vs Statements

    Week 5 Videos: Unit 2

    1. Introduction to Set Theory, Set Notations, and Set Operations
    2. Proving Set Equivalences and Other Proofs Involving Subsets and Power Sets

    Week 6 Videos: Unit 3

    1. Relations and Operations on Relations
    2. Properties of Relations

    Week 7 Videos: Unit 4

    1. Mathematical Induction
    2. Recurrences

    Week 8 Videos: Unit 5

    1. Big-O/Omega/Theta notation
    2. Substitution Method
    3. Program Correctness via Induction

    Week 9 Videos: Unit 6

    1. Basic Counting/Set Counting
    2. Permutations and Combinations (P&C)
    3. Applying P&C

    Week 10 Videos: Unit 7

    1. Graphs

    Week 11 Videos: Unit 8

    1. Probability (Part 1)

    Week 12 Videos: Unit 9

    1. Probability (Part 2)

    Graph View

    • Week 2 Videos: Unit 1 - Part 1
    • Week 3 Videos: Unit 1 - Part 2
    • Week 4 Videos: Unit 1 - Part 3
    • Week 5 Videos: Unit 2
    • Week 6 Videos: Unit 3
    • Week 7 Videos: Unit 4
    • Week 8 Videos: Unit 5
    • Week 9 Videos: Unit 6
    • Week 10 Videos: Unit 7
    • Week 11 Videos: Unit 8
    • Week 12 Videos: Unit 9

    Backlinks

    • Notes for Mathematical Techniques in Computer Science

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    • GitHub