Supplemental Math Materials

Contains supplemental materials for

• Series (including summation notation)

• Complex numbers

• Linear algebra (including linear algebra calculations in Python)

• Calculus

Contents:

• Functions
  • Review of Mathematical Functions
  • Function Composition
  • Graphing Functions
  • Functions with Multiple Inputs
  • Links to Other Resources
  • Reading Comprehension Exercise Solutions
• Sequences and Summations
  • Sequence Notation
  • Summation Notation
  • Kronecker Delta
  • Reading Comprehension Exercise Solutions
• Fundamentals of Linear Algebra
  • What is a Vector?
  • Vectors in NumPy
  • Operations on Vectors
  • Matrices: Collections of Vectors
  • Links to Official Documentation and Other Resources
  • Reading Comprehension Exercise Solutions
• Complex Numbers
  • What are Imaginary Numbers?
  • How Do We Create Complex Numbers?
  • Operations with Complex Numbers
  • Euler’s Formula
  • Applying Euler’s Formula
  • Links to Official Documentation and Other Resources
  • Reading Comprehension Exercise Solutions
• Introduction to Single-Variable Calculus
  • Instantaneous Slope and Derivatives
  • Automatic Differentiation
  • Reading Comprehension Exercise Solutions
• Multivariable Calculus: Partial Derivatives & Gradients
  • What is a Partial Derivative?
  • Taking a Derivative Along Any Direction Using the Gradient
  • Reading Comprehension Exercise Solutions
• Chain Rule
  • Basics of the Chain Rule
  • Representing the Chain Rule Using Leibniz Notation
  • The Chain Rule for Multivariable Functions
  • Autodifferentiation and the Chain Rule
  • Reading Comprehension Exercise Solutions