If you want to refer to sections of Methods Survey while working the exercises, you can click here and it will appear in a separate full-size window. Similarly, here we offer Theory.

- Calculating derivative: basic methods
- Calculating derivative: standard problems
- Calculating derivative: inverse, implicit and parametric functions
- Tangents and normals, Taylor polynomial and approximation.
- Global extrema and optimization; related rates.
- Applications of MVT: using derivative to compare functions, prove inequalities and count roots.
- Graphing functions: individual basic steps - asymptotes, monotonicity, concavity (for domain and limits see Functions - Exercises).
- Graphing functions
- Implicit and parametric functions