|
|
Note: If a link to an on-line item has a
* , the item requires the Quicktime plugin (and a fast internet
connection). You can get the plug-in for free by following the directions
on the course Technology
Page. For readings and problems, JIT=J=Just-In-Time,
FP=F=Fundamentals of Precalculus . Click on
to see the learning
outcomes and other guidance for this topic.
| Topic/Outcomes | Readings | Problems and Exercises | Online | |
|---|---|---|---|---|
| 1. Self-assessment, Introduction and Advice |
||||
| 2. Real Numbers and Arithmetic (Especially Fractions) |
JITp. 1-9,22-23 FP Sec 1.1 |
Jp.3/1-9odd Jp.6/1-13odd,Jp.23/2-5, Jp.9/5-15odd Fsec1.1/1-4,9-14,59.60 |
Common
denominators Simplifying quotients Simplify quotient tutorial Reciprocals |
|
| 3. Exponents, Sci. Notation |
JITp.10-15,19-20 | Jp.12/1-15odd,19,21, 16 Jp.15/5-25odd,26-29,31-33 Jp.20/1,3,4,6 |
Radicals(tutorial) Radicals(quiz) Radicals and powers(quiz) |
|
| 4. Simple Inequalities and Absolute Value |
FP Sec 1.2 | Fsec 1.2//9-19odd,31,33,41 44-53.59-65odd,69,70 |
||
| 5. The Coordinate Plane, Distances, Midpoints, Graphs of Equations, Completing the square, Circles |
FP Sec 1.3 JITp.25-28 |
Fsec1.3/11-29odd, 33-45odd Jp.28/1,5,7 |
Distance,midpoints,circles Completing the square(video)* Completing the square(puzzle) |
|
| 6. Linear Equations and Inequalities, Lines |
FP Sec 1.3,1.4 JITp.31-34,53-59 |
Fsec1.3/61-69odd Fsec1.4./1,7,19-23odd,29-37odd,44, 55,59,61-64 Jp.35/6,7,10-13,19 |
Using slider applets Equations of linear functions |
|
| 7. Functions and Graphs |
JITp. 47-51,89-92 FP Sec 1.5 |
Jp.51/1,3,7-9,11; Jp.94/1,2,5,7,16 Fsec1.5/1,6,10-16,41,42,45,46, 59-67odd,73-79odd,85,89 |
Evaluating
functions Is it the graph of a function Mystery of the graph* |
|
| 8. Graphing and Transforming Functions |
JITp. 61-70 FP Sec 1.6,1.7 |
Jp. 64/10,11; Jp.69/3-6; Jp.71/1-3 Fsec1.6/33-41odd, 51-61odd Fsec1.7/17-23odd,29,31,33,51,53,59,65 |
Transformations
of functions Using slider applets |
|
| 9. Algebra of Functions |
FP Sec 1.8 | Fsec1.8/1-11odd,21-27odd,43-51,61-70 | ||
| 10. Inverses |
FP 1.9 JITp.147-155 |
Fsec1.9/7-10,41,42,45-61odd Jp.152/1,3,8 p.155/1,3,5 |
Composing
functions (video)* Decomposing functions (video)* Decomposing functions(tutorial) Composing functions(quiz) Composing/decomposing(quiz) Inverse functions(video)* Inverse functions I (quiz) Inverse functions II (quiz) |
|
| 11.Quadratic Functions, Complex Numbers |
FP Sec 2.1,2.2(omit p.127-128) |
Fsec2.1/3,7-17odd,21,23,25,37,39,47, 49,57,59,65,69,77 Fsec2.2/73,79,83,87 |
Solving quadratics Complex numbers and quadratics Complex number quiz |
|
| 12. Polynomials |
FP Sec 2.3 (omit p. 134-135 and 138-140,but read AA-15), Sec A.2 (omit the FOIL method), A.3 (omit AA-20), Sec 2.4 (omit 146-148) JITp.81-83 |
FsecA.2/13,23,25,31,32,57,61,62,65,69 |
Pulling
out common factors Factoring Factoring puzzle Dividing polynomials(video)* Long division Polynomial division puzzle |
|
| 13. Polynomial Functions |
FP Sec 2.6 | Fsec2.6/1-9odd,13,20,21, 27-35odd,53-60 |
Polynomial zeros | |
| 14. Rational Functions |
FP Sec 2.7, FP A.4 | Fsec2.7/3,9,16,17,19,21,22,31,33, 37,41,69-74,81,85,91 |
Graphs
of rational functions Asymptotes(puzzle) |
|
| 15. Exponential Functions |
FP Sec 4.1 | Fsec4.1/13-18, 29,31,25,33, 43-53odd, 81, 83,91,92 |
||
| 16. Logarithmic Functions |
FP Sec 4.2 JITp.156-162 |
Fsec4.2/1-9odd, 9-17odd, 25,26,29,43,49-55odd, 59-65odd,69,81,97,99; Jp.158/12-21; Jp.162/5,6,9 | Definition
of Logarithms I(tutorial) Definition of Logarithms II(tutorial) |
|
| 17. Logarithm Properties |
FP Sec 4.3 JITp. 163-168 |
Fsec4.3/1,3,4,6,7,9,14,17,19,27,29,31,35,41,42,49 51,53, 57, 58, 76; Jp.165/1,3; Jp.168/11 |
Properties
of Logarithms I(tutorial) Properties of Logarithms II(tutorial) Properties of Logarithms (quiz I) Properties of Logarithms(quiz II) Matching Logarithmic Expressions(puzzle) |
|
| 18. Log and Exp Equations |
FP Sec 4.4 | Fsec4.4/3,15,19,29,31,35,36,61,63,65 | Exponential
Equations(puzzle) Logarithmic Equations(puzzle) Exponential and Logarithmic Equations(quiz) |
|
| 19. Angles |
FP Sec 3.1 JITp. 96-98 |
Fsec3.1/1-21odd,41-49odd,55-59odd, 69-83odd,91-97odd | Degrees to radians | |
| 20. Sin and Cos |
FP Sec 3.2 JITp. 99-107 |
Fsec3.2/1-27odd,47-54odd , 55, 56,73-77odd Jp.104/3-6, p.108/3-11odd |
Trig functions and quadrants | |
| 21. Graphing Sin and Cos |
FP Sec 3.3 JITp. 108-112 |
Fsec3.3/1-4,25-33odd,41-48,69-71 |
Transformed trig functions with slider applets Graphs of trig functions (quiz) |
|
| 22. Other Trig Functions |
FP Sec 3.4 | Fsec3.4/3-17odd,52.55.59,67,69,75 | ||
| 23. Inverse Trig Functions |
FP Sec 3.5 JITp.169-173,179-180 |
Fsec3.5/1-33 odd, 38,41, 65, 67, 68, 71-73,81,
82, 87; Jp. 181/1abd,3ac,4a |
||
| 24. Trig Identities |
FP Sec 3.7 JITp.136-140 |
Fsec3.7/1-9, 15-18, 25,26, 31-35, 39-41,47-50,59; Jp.140/ 1,2,6,8,9 |
||
| 25. Trigonometry |
JITp. 130-135 | Jp. 132/1,3,7,9; Jp. 135/1-4 | ||
| Exponential
decay example Exponential Growth example Exponential Growth and Decay(quiz) Finding the Mummy's Age(video)* |
||||