Combinatorics and Probability Study Guide (Coursera)

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  • #Study Guides
  • #Math
  • Course Link: Combinatorics and Probability (part of the discrete math specialization)


    I’m continuing to review and practice math concepts to be a better software engineer. Here are some thoughts if you want to go through the course and a list of external resources I’ve found helpful.

    Although the course covers quite a few concepts and is well-structured, the prerequisites aren’t clarified in the description. I also had to supplement my study with other resources since this course doesn’t have everything I wanted to review.

    I mainly complemented this course with the Statistics 110 course by Professor Joe Blitzstein. I’ve also went through various articles, videos, and tools to help develop a better intuition.

    Prerequisites Clarification

    Required

    • Logical Statements
    • Sets (notation, relationships, operations, Venn diagrams)
    • Python (loops, conditionals, functions, itertools)
      • Required for the final assignment
      • Knowing itertools is optional but it’ll make writing simulations easier

    Optional

    • Functions
    • Calculus (if you want to derive some of the distributions)
    • Series (Geometric, Taylor)

    Read the Introduction and Preliminaries section (chapter 0) of this book.

    Math Review Handout (Stat 110).

    Translating Between Probability and Sets (Stat 110).

    Suggested Resources

    There’s a separate section on Bayes’ Theorem because it was the most relevant topic for me (spent the most time on it).

    Book

    Complementary Course

    • Statistics 110 by Professor Joe Blitzstein
      • Lectures 1-10 recommended
      • Watch the other lectures as required

    Bayes’ Theorem

    These are ordered by suggested study order.

    Videos/Playlists/Channels

    Articles

    Visualization Tools