Text: CALCULUS: Concepts and Contexts  by James Stewart

Link to Website

NOTES:

1. The above website has the most up to date information about the course, including this syllabus, practice and old exams, etc. Old exams have also been put on reserve at Nimitz Library.

2. All students in this course are expected to have a calculator like the TI-92 with the capabilities to do symbolic calculations. There will be assignments that use such a calculator as well as questions on the common final exam for which it is expected that the student has such a calculator. (See Calculator Notes with web-sites and course hints at the bottom of this page.)

3. If you would like help in the course, you should contact your instructor for extra-instruction. If your instructor is not available, try the Math Lab in C216a. It is staffed all six class periods every class day with instructors who should be able to answer your questions.

4. Exercises that ask for verbal explanations should be answered with complete sentences.

5. In the table below, the six labs in the right column are considered part of the course. The other web links in this column are for information only, although they may be used at individual instructor's discretion.

Calculator Notes

Web sites:

• Texas Instruments latest version of the TI-92 guidebook in pdf format.
• The TI-92 Calculator- A Guide by Prof Hanna
• Prof. Kaplan's TI-92 directory, including a tutorial.
• Guide to TI-92 by Assoc. Prof. (ret.) Nathan Niles.
• Yahoo's links to TI-92 sites.

Course Hints:

• Appendix C: Note, for example, that tExpand(sin(x+y)) gives the sum formula. One way to change from degrees to radians is to enter 2^nd D (for degrees) in radian mode. One way to reverse is to use 2^nd Y D D (decimal degrees).
• 1.1: Be sure you can define your own functions on the calculator, either by define or store. (Piecewise functions are hard to enter - beyond the course expectations.)
• 1.2: Use the calculator to compose functions. Sometimes g(f(x)) will give an error. It can be avoided by defining f and g using a variable other than x (say t) but then using x for the composition. Try drawing shifted and stretched graphs with the calculator. In the Y= screen, F4 unchecks/checks a function to not draw/draw it and F3 may be needed to edit (change) a function (or clear it and re-enter).
• 1.3: Using Y=, GRAPH, TABLE gives a function algebraically, visually, and numerically. If a graph is taking too long to draw, the ON key interrupts. Zoomdec (F2 4) gives correct aspect ratio - makes circles circular. To get roughly Figure 6, change the xmin/xmax window to plus or minus a)15, b)12.5, c)11.25, d)7.5. To get Figure 11, try x^(1/3.) - note decimal point.
• 1.4: The MODE key allows one to change Graph-parametric. Under Y= menu, F1 toolkit, 9 Format, Graph order 2 simultaneous, allows checking for simultaneous collision. Lead cursor ON to see cos(3t) sin(3t) 3 times.
• 2.1: All the many points in a problem like number 9 can be done quickly by defining a secant slope function on the calculator. Old assigned variables can cause errors - recommend using single letter variable names and then erasing with F6. Also, 2^nd Hand ON clears EVERYTHING. For example, define f(x) then use ((f(x)-f(1))/(x-1))|x={2,1.5,1.4,1.3,1.2,1.1}
• 2.2: The TI-92 takes limits! For example define g(x)=x/x. Then g(0) is undefined. But limit(g(x),x,0)=1. And it does one sided limits, e.g. limit(abs(x)/x,x,0,-7) = -1 (where -7 can be any negative for limit from the negative side.
• 2.4: Graph the floor and ceiling functions and understand in what way the calculator graphs are wrong.
• 2.5: Graph functions with infinite limits and understand how the calculator graphs can be wrong (drawing vertical asymptotes). The TI-92 can use (2^nd J) in both ways.
• 2.6: The TI-92 will draw tangent lines and give the equation (graph and then use F5 math A).