Below are the skills needed, with links to resources to help with that skill. We also enourage plenty of exercises and book work. Curriculum Home
Important: this is a guide only.
Check with your local education authority to find out their requirements.
Calculus | Functions
☐ Introduction to continuity
☐ Intermediate Value Theorem and Extreme Value Theorem
☐ Understand how the behavior of the graphs of polynomials can be predicted from the equation, including: continuity, whether the leading term has an even or odd exponent, the size of the factor of the leading term, the number of turning points, and end behavior.
☐ Understand what is meant by saying that a function is increasing, strictly increasing, decreasing or strictly decreasing.
☐ Understand what is meant by the following terms for a function: Local Maximum, Local Minimum, Global Maximum and Global Minimum.
Calculus | Derivatives
☐ Introduction to derivatives
☐ From average rate of change to instantaneous rate of change
☐ Derivatives and continuity
☐ Approximating rate of change (graphs and tables)
Calculus | Limits
☐ Introduction to limits
☐ Calculating limits
☐ Formal definition of limits
☐ Estimating limits (graphs and tables)
☐ Continuity and Limits