Course:MATH110/Archive/2010-2011/003/Notes

Table of Contents

1. Limits

• 1.1 /Limits at a point (precise definition)
• 1.2 /Limits at a point (easy cases)
• 1.3 /Limits at infinity
• 1.4 /How to compute limits at infinity
• 1.5 /Properties of limits
• 1.6 /Indeterminate forms

2. Continuity

• 2.1 /Continuity
• 2.2 Types of discontinuities

3. Properties of functions

• 3.1 /Asymptotes
• 3.2 /Sign tables

4. Derivatives

• 4.1 What is a derivate?
• 4.2 /Computing derivatives using limits
• 4.3 /What can we do with derivatives
• 4.4 Rules of differentiation
  • 4.4.1 Linearity
  • 4.4.2 /Power Rule
  • 4.4.3 /Product Rule and Quotient Rule
  • 4.4.4 Trigonometric derivatives
  • 4.4.5 Chain Rule