### Calc.II Gateway Test Generator

Tamara Olson, revised Jan.2006
These tests are designed to test for mastery of the rules for symbolic differentiation and basic integration taught in Calculus I. They are meant to be printed and taken by hand, without the aid of computer or calculator.

To generate a test, you'll need to do the following:

(hold the Shift key while you left-click on the link)
2. Start Mathematica, and open the notebook.
3. Run the first cell (click the cursor anywhere in the cell and "Shift-Return")
4. If there are "Spell" errors, delete them (or run the first cell again to generate a new test without spell-check errors).
5. To print out a test, highlight the cells to be printed and then choose "Print Selection" from the "File" menu in the upper left corner of the Mathematica window.

### Worksheets for Integral Calculus

Tamara Olson
Some of this stuff is very old.
Ask me for help if it doesn't work right (trolson at mtu.edu).

Section numbers refer to the relevant section(s) in CALCULUS, Single and Multivariable (second edition) by Hughes-Hallet et alli.

• Calculus
(my one-page textbook covering differentiation and integration, with a two-page worksheet through which students can discover the fundamental theorem of calculus)

• 3.1 Velocities and Distances

• 6.1 Antiderivatives: Graphical and Numerical

• 6.3 Constant Acceleration

• 7.1 Integrals, Averages, and Substitution

• 7.3 Integration by Parts Practice Problems

• 7.7 Improper Integrals

• 8.1 Slicing

• 8.2 Density Functions

• 8.3 WORK sheet

• 8.3 More WORK
(Technically the same problem as the WORK sheet above, but solved completely differently. Students can do the problem two ways and check that the work is the same either way.)

The following worksheets are in postscript (or compressed postscript):

• Calculus (my one-page textbook covering differential and integral calculus, with a two-page worksheet through which students can discover the fundamental theorem of calculus)