Appendix A: Some Worked Examples
............................................................................
298
Finding the intercepts of a quadratic
..........................................................................
298
Finding complex solutions to a complex equation
......................................................
299
Finding critical points and graphing a polynomial
......................................................
300
Solving simultaneous equations
.................................................................................
302
Expanding polynomials
.............................................................................................
304
Exponential growth
...................................................................................................
305
Solution of matrix equations
......................................................................................
307
Finding complex roots
...............................................................................................
308
Complex Roots on the hp 40gs
..................................................................................
309
Analyzing vector motion and collisions
......................................................................
310
Circular Motion and the Dot Product
..........................................................................
311
Inference testing using the Chi
2
test
............................................................................
312
Appendix B: Teaching or Learning Calculus
....................................................................
314
Investigating the graphs of
y=x
n
for n an integer
....................................................
314
Domains and Composite Functions
.............................................................................
315
Gradient at a Point
....................................................................................................
317
Gradient Function
......................................................................................................
318
The Chain Rule
...........................................................................................................
319
Optimization
.............................................................................................................
319
Area Under Curves
....................................................................................................
320
Fields of Slopes and Curve Families
...........................................................................
320
Inequalities
................................................................................................................
321
Rectilinear Motion
......................................................................................................
321
Limits
.........................................................................................................................
321
Piecewise Defined Functions
......................................................................................
322
Sequences and Series
................................................................................................
322
Transformations of Graphs
........................................................................................
323
Appendix C: The CAS on the hp 40gs
.............................................................................
324
Introduction
...............................................................................................................
324
Using the CAS
............................................................................................................
327
Examples using the CAS
............................................................................................
341
The CAS menus
..........................................................................................................
358
On-line help
..............................................................................................................
361
Configuring the CAS
...................................................................................................
362
Tips & Tricks - CAS
.....................................................................................................
366