This page contains a selection of support material I have created as part of my teaching.
Derivatives. This gives an visual interpretation of the derivative as a tangent line and also as a function.
Runners on a Circular Track. An illustration of the distance between two runners on a circular track.
Exponential Function. An illustration of the Taylor Polynomials of the exponential function.
Sine Function. An illustration of the Taylor/Maclaurin Polynomials of the sine function.
Number Races. This compares the growth rate of different functions as an introduction to L'hopital's rule.
Area Between Curves. This highlights the area between two curves.
Introduction Presentation. My presentation from the first class outlining the goals and objectives of the course.
Final wrap up. Final class presentation preparing students for the final exam and life beyond the course.
Table of Functions. For students to summarise the basic functions and their properties.
Table of Transformations. For students to summarise the effect of different function transformations.
Proof of Product Rule. For reference only. This was not assessed.
Common Trigonometric Identities.
Table of Derivatives. For students to summarise common derivatives used in the course.
Increasing/Decreasing Function. Summary of steps for finding intervals of increase / decrease.
Curve Sketch. Summary of curve sketching steps for a specific function.
Full Curve Sketching. Blank version of the above.
Common Equations. For students to summarise a list of commonly occurring equations.
Optimisation Example. A complete example of an optimisation question to illustrate how to piece the information together.
Optimisation Questions. A selection of optimisation questions that students attempted in class.