Mathematics, Coding and Science Education

Helpful Tools for Calculus

Course Information

This is less of a course and more of a list of notes to supplement and help students prepare for a rigorous Calculus course. The information listed below is meant to provide extended background knowledge on some topics that are often in need of more practice, are never actually taught, help create a mindset for learning mathematics and or show some neat tricks that will be applied in Calculus.

Table of Contents

Chapter 0: Numbers, Notations and Notes

  1. Real Numbers
  2. Complex Numbers
  3. Infinity
  4. Absolute Values
  5. Fractions and Decimals
  6. More on Fractions
  7. Geometry
  8. Patterns
  9. Calculators

Chapter 1: Functions and Relations

  1. Functions and Graphing
  2. Linear Functions
  3. Quadratic Functions
  4. Polynomial and Rational Functions
  5. Inverse Functions
  6. Radical Functions
  7. Exponential Functions
  8. Logarithmic Functions
  9. Trigonometric Functions
  10. Inverse Trigonometric Functions
  11. Elementary and Composite Functions
  12. Hyperbolic Functions
  13. Implicit Equations
  14. Parametric Equations
  15. Polar Equations

Chapter 2: More Helpful Tools for the Mathematics of Calculus

  1. Logic
  2. Proof
  3. An Introduction to Linear Algebra
  4. Pascals Triangle and Binomial Expansions
  5. Summation

For the next Chapters, see Calculus I.