MCV4U (Grade 12 Calculus and Vectors Course)

Unit #1: Rates of Change

Please make me a "cheat cheat" for me to study off for my unit 1 test of the following concepts. Please try to provide clear detail such as; explanation, definition, examples?, formulas... and any extra information you think may help me. I know its a lot, but I'd really appreciate it (and I'll be sure to provide a good review).

• Pascals Triangle and Binomial Theorem:
• Rates of change and the slope of the curve:
• Average rate of change: (provide formula, when you'd use it, why'd you use it, how you'd use it...)
• Instantaneous rate of change: (provide formula, when you'd use it, why'd you use it, how you'd use it...)
• Rates of change using equations:
• Difference quotient:
• Limits:
• left hand limit:
• right hand limit:
• Limits and continuity (and - removable discontinuity, indeterminate form, infinite discontinuity, jump discontinuity):
• limits properties:
• introduction to derivatives: