1. File management, navigation, etc.

2. Worksheet formatting

3. Data points (xi,yi), statistics, plotting, and fitting curves

4. Addresses, names, formulas, programming

5. Functions y=f(x): Tables and graphs

6. Numerical differentiation of y=f(x)

7. Numerical integration of y=f(x)

8. Euler's method for y'=f(x,y)

9. Functions z=f(x,y): Tables and graphs
(precalculus, first week of calculus III)

10. Partial derivatives numerically

11. Double integrals

12. Numerical soln of PDEs

a. parabolic/hyperbolic PDEs: (optional,typically mid semester calculus III) b. elliptic PDEs (rarely covered in intro level courses, special project calc III)