- WS1
- The first two (from the text) problems involve use of two equations (i.e. more than one) and use of parameters (instead of specific numbers). These are easy problems from the text that set the right tone for the course. The next two problems again involve symbols rather than numbers and cover easy, but important, facts about absolute values. The remainder of the worksheet studies inequalities with an emphasis on use of general parameters, but the approach and/or content may not be to every instructors' liking.
- WS2
- Functions defined in various ways besides formulas–the definition in terms of graphs is important for building intuition and the definition in terms of tabled numbers is important because it mirrors field acquisition of data. This worksheet also introduces our first statement: Plot.
- WS3
- Techniques for solving word problems; use of parameters; St. Olaf material. Table command. A fairly tough problem (the `asteroid problem') is included—``students should be encouraged to take some time with at least some problems''. This problem will be revisited several times (including the next worksheet).
- WS4
- This one uses the asteroid problem to illustrate equation solving using Plot and Table in a tough situation (transcendental equation with many roots). It contains an Honor problem (# 4) posed as a generalization of (# 2) which is from the text. It also (# 7) introduces the important notions of secant line and tangent line encouraging the student to bring out common misconceptions about the latter, prior to getting enmeshed in techniques for computing slopes and derivatives.