Chapters

Contents

• 2. Functions
• 2.1. Basics
• 2.1.0. Sets
• 2.1.1. Functions and domains
• 2.1.2. Domain and range
  !
• 2.2. Inverse functions
• 2.2.0. Introduction
• 2.2.1. Existence
  !
• 2.2.2. Domain and range
  !
• 2.2.3. Formula
  !
• 2.2.4. Relationship
  !
• 2.3. Composite functions
• 2.3.0. Introduction
• 2.3.1. Existence
  !
• 2.3.2. Domain
  !
• 2.3.3. Formula
  !
• 2.3.4. Range
  !
• 3. Curve sketching
• 3.1. Rational functions
• 3.1.0. Limits
• 3.1.1. Asymptotes
  !
• 3.1.2. Long division
• 3.1.3. Rectangular hyperbola
  !
• 3.1.4. Oblique asymptotes
  !
• 13. Complex Numbers
• 13.1. Complex number basics
• 13.1.0. Extending real numbers
• 13.1.1. Complex Arithmetic I
  !
• 13.1.2. Complex conjugates
  !
• 13.1.3. Complex division
  !
• 13.2. Complex algebra
• 13.2.1. Linear equations
• 13.2.2. Quadratic equations
  !
• 13.2.3. Comparing parts
  !
• 13.2.4. Conjugate root theorem
  !
• 13.3. Polar form
• 13.3.1. Argand diagram
  !
• 13.3.2. Polar form conversion
  !
• 13.3.3. Polar form arithmetic
  !
• 13.3.4. Real/purely imaginary
• 13.3.5. The half angle trick