FMS
  • Home
  • Number Theory 🤔
  • Order of operations 🤔
  • Variables
  • Functions
  • Summations
  • Exponents and Logarithms 🤔
  • Limits
  • Derivatives 🤔
  • Euler’s Number and Natural Logarithms 🤔
  • Integrals 🤔

Foundation Mathematics & Statistics

Author

The majority of the text and code has been generated by AI.
Editor: Witek ten Hove

Prerequisites

Before starting this module make sure you have:

  • access to the book Nield, T. (2022). Essential Math for Data Science. O’Reilly Media, Inc.

  • a data science environment setup

In case you have not yet set up your environment you can use online notebook services like Google Colab or JupyterLab or Replit

Purpose

The general learning outcome of this course is:

The student is able to perform a well-defined task independently in a relatively clearly arranged situation, or is able to perform in a complex and unpredictable situation under supervision.

After studying this course, you should be able to understand and apply:

  • The basics of math and calculus

  • The principles of Probability Theory

  • The basic principles of descriptive and inferential statistics

  • Python or other data science script languages.

Content

The course will cover the following topics.

  • Basic Math and Calculus
  • Probablity
  • Descriptive Statistics
  • Inferential Statistics

In weeks 1 and 2 you’ll be learning the following topics (sections marked with 🤔 contain assignments):

  1. Number Theory🤔

  2. Order of Operations🤔

  3. Variables

  4. Functions

  5. Summations

  6. Exponents and Logarithms🤔

  7. Limits

  8. Derivatives🤔

  9. Euler’s Number and Natural Logarithms🤔

  10. Integrals🤔

In week 3 you’ll learn basic probability theory.

In week 4 you’ll learn to uncover underlying patterns and trends utilizing descriptive statistics.

In week 5 you’ll learn to discover basic patterns and trends using inferential statistics.

  1. Central Limit Theorem