Course Calendar and Syllabus for
MTH 111, Spring 2007
The following calendar gives a timetable for the course. Your
class may be slightly behind or ahead at any given time. Below
the calendar is a list of topics with suggested readings and
problems, learning outcomes, and on-line material. Make sure
you attend the class regularly to keep pace with the course.
The listed problems may be done in class or homework. Your instructor
will be more specific. You should attempt them all. Starred
problems may be more challenging. (Note: In the problem lists,
a notation like 3-9 means that all the problems 3,4,5,6,7,8,9
are assigned. A notation like" 3-9 odd" means that
problems 3,5,7,9 are assigned.)
| Week of | Events | Topic | Week of | Events | Topic |
| Jan 22 | 1,2,3 | Mar 26 | 18,19 | ||
| Jan 29 | 4,5 | Apr 2 | 20,21 | ||
| Feb 5 | 6,7 | Apr 9 | 22,23 | ||
| Feb 12 | 8,9 | Apr 16 | 24 | ||
| Feb 19 | No class 2/19 | 10, 11 | Apr 23 | 25,Review | |
| Feb 26 | 12, 13 | Apr 30 | Classes end 4/30 | Review | |
| Mar 5 | 14, 15 | ||||
| Mar 12 | 16,17 |
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 | Online |
|---|---|---|---|
| 1. Self-assessment, Introduction and Advice |
|||
| 2. Real Numbers and Arithmetic (Especially Fractions) |
JITp. 1-9,22-23 FPp.2-6 |
Jp.3/1-9odd Jp.6/1-13odd,Jp.23/2-5, Jp.9/5-15odd Fp.10/1-4,9-14,59.60 |
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. p. 11-18 | Fp.19/9-19odd,31,33,41 44-53.55-65odd,69 |
|
| 5. The Coordinate Plane, Distances, Midpoints, Graphs of Equations, Completing the square, Circles |
FPp. 21-27 JITp.25-28 |
Fp.30/11-27odd, 31-43odd Jp.28/1,5,7 |
Distance,midpoints,circles Completing the square(video)* Completing the square(puzzle) |
| 6. Linear Equations and Inequalities, Lines |
FPp.27-30,33-41 JITp.31-34,53-59 |
Fp.31/61-69odd Fp.42/1,7,19-23odd,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 FPp.43-52 |
Jp.51/1,3,7-9,11; Jp.94/1,2,5,7,16 Fp.53/1,6,8-16,41-42,45,46, 59-67odd,73-79odd,85 |
Evaluating
functions Is it the graph of a function Mystery of the graph* |
| 8. Graphing and Transforming Functions |
JITp. 61-70 FPp.61-64, 67-77 |
Jp. 64/10,11; Jp.69/3-6; Jp.71/1-3 Fp.65/33-41odd, 51-61odd Fp. 78/17-23odd,29,33,51,53,59,65 |
Transformations
of functions Using slider applets |
| 9. Algebra of Functions |
FPp. 79-85 | Fp.86/1-11odd,21-27odd,41-48,55-64 | |
| 10. Inverses |
FPp.88-94 JITp.147-155 |
Fp. 94/1-4, 19-22,35,39-55odd 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 |
FPp.107-113, 115-116,120-121 |
Fp.114/3,7-17odd,21,23,25,37,39,47, 49,57,59,65,69,77 Fp.122/73,79,83,87 |
Solving quadratics Complex numbers and quadratics Complex number quiz |
| 12. Polynomials |
FPp.122-123,126-127, 133-134,404-406 JITp.81-83 |
Fp.401/13,23,25,31,32,57,60,65,66 Fp.131/3,5,6,31,33; p.138/3,7; Jp.83/2,3,7,9 |
Pulling
out common factors Factoring Factoring puzzle Dividing polynomials(video)* Long division Polynomial division puzzle |
| 13. Polynomial Functions |
FPp.149-154,157 | Fp.158/5-13odd,17,24,25, 31-39odd,41-48 |
Polynomial zeros |
| 14. Rational Functions |
FPp.160-166,168-170 | Fp.171/3,9,15,17,19,20,27,29, 33,37,51-56,63,65,71 |
Graphs
of rational functions Asymptotes(puzzle) |
| 15. Exponential Functions |
FPp. 285-296 | Fp. 295/13-18, 21,23,25,31, 35-45odd, 69, 73,75,76 |
|
| 16. Logarithmic Functions |
FPp.296-304 JITp.156-162 |
Fp.305/1-9odd, 17,18,21,27,33-49odd, 53,65,77,79; Jp.158/12-21; Jp.162/5,6,9 | Definition
of Logarithms I(tutorial) Definition of Logarithms II(tutorial) |
| 17. Logarithm Properties |
FPp.306-313 JITp. 163-168 |
Fp. 313/3,4,7,8,11,13,27,29,31,35,41,42,49 51,53, 57, 58, 71; 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. 314-318 | Fp.321/3,11,15,25,27,31,32,55,57,59 | Exponential
Equations(puzzle) Logarithmic Equations(puzzle) Exponential and Logarithmic Equations(quiz) |
| 19. Angles |
FPp.181-189 JITp. 96-98 |
Fp.190/1-19odd,35-47odd,65-77odd,83-89odd | Degrees to radians |
| 20. Sin and Cos |
FPp. 191-197 JITp. 99-107 |
Fp.198/1-39odd, 49, 50,67-71odd Jp.104/3-6, p.108/3-11odd |
Trig functions and quadrants |
| 21. Graphing Sin and Cos |
FPp. 199-201 JITp. 108-112 |
Fp. 211/1-4,25-33odd,37-42,63-65 |
Transformed trig functions with slider applets Graphs of trig functions (quiz) |
| 22. Other Trig Functions |
FPp.213-222 | Fp. 223/3-17odd,52.55.59,67,69,75 | |
| 23. Inverse Trig Functions |
FPp. 224-232 JITp.169-173,179-180 |
Fp. 232/1-33 odd, 38,41, 65, 67, 68, 71-73,81,
82, 87; Jp. 181/1abd,3ac,4a |
|
| 24. Trig Identities |
FPp. 242-245 JITp.136-140 |
Fp. 250/1-9, 15-18, 25,26, 31-33, 39-41, 35-37, 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)* |
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