Syllabus for MAC 1147 - Precalculus and Trigonometry
Fall, 2001
Instructor: Prof. Blake Mellor
MHC 165
6-8614
bmellor@fau.edu
URL: http://www.fau.edu/~bmellor
Office Hours: M 2-4, TTh 2-4, MHC 165
or by appointment
Class Meeting: TTh 9-10:50, F 11-11:50, MAC 206
Text: Precalculus, Rockswald, Hornsby and Lial, 1st edition (2000).
Required: TI-83+ Graphing Calculator
Objective: This class will be, essentially, an introduction to mathematical modeling. Modeling is the process of finding mathematical functions which describe "real world" situations and processes. You will work on projects involving real (or at least realistic) data, and learn how to construct mathematical models. Along the way, you will become familiar with the basic library of functions you need for calculus: linear functions, polynomials, exponentials, logarithms and trigonometric functions. We will also study the basics of systems of linear equations and matrices, which have important applications in biology, chemistry and environmental science. Most of the projects will involve working with real data, and will hopefully demonstrate how some of the techniques of the class are important to real scientists.
Honor Code: Students agree to adhere to the honor code, the text of which is at http://www.fau.edu/divdept/honcol/students/honorcode.html
Grading: Homework Projects 450 pts
Midterm 1 100 pts
Midterm 2 100 pts
Midterm 3 100 pts
Final 250 pts
Total 1000 pts
Lectures: We will be doing a variety of activities in class. I will spend some time in class lecturing, both on material from the text and on additional material. However, I will not be covering everything in the text in class, so it is very important that you read the book (see below). We will also spend time in class working individually and in groups on problems which I provide, or from the text. So it is important that you bring your book to each class.
Reading: You are expected to read the section to be discussed in class before class. While I will cover what I consider to be the "high points", I will often not predict exactly which details you might find confusing, so it is important that you read the text and come to class prepared to ask questions.
Homework and Projects: Your weekly homework will consist of two parts.
It is important that you manage your time well for this class. You cannot do four weeks of work just before an exam and expect to do well. Like any math class, the material builds on itself, and needs to be absorbed in small, frequent chunks. So figure out how much time you need to spend on the class each week, and be sure to block that off. This is a 5-credit class, and so will probably require more time than your other classes. You should expect to spend 8-10 hours a week outside of class, but that will vary widely according to the individual.
Collaboration: You are encouraged to collaborate on homeworks and projects. This means that you may work together to understand and solve the problems, with each member of the group checking and contributing to the work of the others. However, each member of a group must write up their solutions on their own, and must list their collaborators at the beginning of their solution. Failure to do this will be considered plagiarism, which is a gross violation of the honor code and will be dealt with accordingly.
Exams: There will be three one-hour midterm exams, tentatively scheduled for September 21, November 2 and November 30. The final will be a 2 1/2 hour exam on Tuesday, December 11, 7:45-10:15.
|
Day |
Topic |
Reading |
Homework (to be done by next class) |
|
Thurs, Aug 23 |
Introduction |
1.1, 1.2, 1.3 |
1.1 11, 15, 19, 23, 33, 35,
39, 43, 53, 59, 63
1.2 3, 7, 9, 11, 15, 23, 25, 33, 35, 39, 43 1.3 3, 7, 13, 19, 23, 25, 29, 33, 39, 43, 45, 49, 51, 55, 57 |
|
Fri, Aug 24 |
Basic Functions |
1.4 |
1.4 3, 5, 7, 11, 19, 23,
29, 37, 41, 47, 53, 57, 63
Gopher Tortoise, Part 1 |
|
Tues, Aug 28 |
Modeling Data |
1.5, 1.6 |
1.5 5, 11, 23, 27, 29, 33,
37, 39, 43
1.6 3, 5, 13, 17, 19, 27, 31, 39, 47, 49, 63, 69 |
|
Thurs, Aug 30 |
Compositions and Inverses |
4.1, 4.2 |
4.1 3, 11, 13, 17, 19, 25,
31, 33, 39, 45, 49, 51
4.2 7, 13, 19, 25, 31, 35, 39, 45, 49, 59, 67, 77, 81, 87 |
|
Fri, Aug 31 |
Group Work |
|
Getting Fit with Mathematics |
|
Tues, Sept 4 |
Linear functions Linear regression |
2.1, 2.2, 2.3 |
2.1 5, 7, 13, 17, 23, 33,
39, 47, 55, 59, 63
2.2 1, 3, 13, 15, 21, 43, 49, 53, 61, 65, 69, 77 2.3 1, 3, 17, 21, 25, 33, 41, 45, 49, 61 |
|
Thurs, Sept 6 |
Piecewise-defined fns Linear approximation |
2.4, 2.5 |
2.4 3, 7, 13, 17, 23, 37,
49, 53, 63, 65, 67
2.5 1, 9, 19, 23, 29, 33, 35, 43, 45, 47, 49 |
|
Fri, Sept 7 |
Lab: Belly Buttons |
|
Belly Buttons |
|
Tues, Sept 11 |
Quadratic functions |
3.1, 3.2 |
3.1 5, 11, 19, 27, 35, 37,
41, 51, 57, 67, 69
3.2 3, 5, 9, 13, 19, 23, 27, 29, 35, 43, 51, 61, 71, 79, 81 |
|
Thurs, Sept 13 |
Polynomials |
3.3, 3.4 |
3.3 1, 7, 15, 23, 25, 29,
33, 37, 45, 49, 57, 59
3.4 3, 7, 17, 21, 25, 35, 43, 51, 57, 71, 75, 79 |
|
Fri, Sept 14 |
Group Work |
|
Gopher Tortoise, Part 2 |
|
Tues, Sept 18 |
Complex numbers Rational fns |
3.5, 3.6 |
3.5 3, 13, 27, 33, 39, 47,
49, 55, 63, 69, 73
3.6 11, 15, 19, 29, 47, 53, 59, 63, 69, 79, 85, 91 |
|
Thurs, Sept 20 |
Review and Catch-up |
|
Study for exam! |
|
Fri, Sept 21 |
Midterm 1 |
|
|
|
Tues, Sept 25 |
Exponential functions |
4.3 |
4.3 5, 9, 13, 15, 19, 23, 25, 27, 29, 37, 41, 43, 45, 49, 51 |
|
Thurs, Sept 27 |
Logarithms log plots log-log plots |
4.4 |
4.4 1, 3, 7, 11, 15, 19, 23, 25, 31, 35, 41, 45, 49, 55, 59, 69, 71, 75, 79, 81 |
|
Fri, Sept 28 |
Lab: Newton's Law of Heating and Cooling |
|
Newton's Law of Heating and Cooling |
|
Tues, Oct 2 |
Exponential and Logarithmic eqns |
4.5 |
4.5 7, 13, 15, 25, 29, 35,
41, 43, 47, 49, 51, 53, 55, 57, 59
|
|
Thurs, Oct 4 |
Logistic function |
|
|
|
Fri, Oct 5 |
Group Work |
|
Gopher Tortoise, Part 3 |
|
Tues, Oct 9 |
Right angle trigonometry |
5.1, 5.2 |
5.1 11, 13, 17, 29, 31, 45,
51, 59, 69, 77, 79, 89
5.2 5, 7, 11, 15, 21, 25, 37, 39, 45, 51, 55 |
|
Thurs, Oct 11 |
Trigonometric fns |
5.3, 5.4 |
5.3 7, 15, 21, 43, 49, 53,
55, 59, 63, 73, 75, 77, 79
5.4 5, 13, 21, 37, 49, 51, 55, 59, 73, 85, 89, 91, 93 |
|
Fri, Oct 12 |
Group Work |
|
Computer Speeds |
|
Tues, Oct 16 |
Modeling with trigonometric fns |
5.5, 5.6 |
5.5 3, 7, 13, 23, 39, 47,
51, 53, 59, 61, 67, 69, 77
5.6 27, 33, 37, 43, 47, 53, 65, 67, 71, 73, 79, 83, 85, 87, 89 |
|
Thurs, Oct 18 |
Basic trig identities |
6.1, 6.2 |
6.1 7, 15, 21, 35, 51, 57,
59, 65, 67
6.2 1, 7, 11, 15, 19, 29, 33, 41, 43, 47, 55, 63, 67 |
|
Fri, Oct 19 |
Group work |
|
Phases of the Moon |
|
Tues, Oct 23 |
Trig identities |
6.3, 6.4, 6.5 |
6.3 7, 13, 21, 31, 39, 43,
49, 53, 59, 65, 67, 71, 73
6.4 7, 11, 23, 29, 33, 37, 41, 43, 45 6.5 9, 13, 21, 33, 39, 43, 51, 65, 69, 83, 87, 89 |
|
Thurs, Oct 25 |
Law of Sines Law of Cosines |
7.1, 7.2 |
7.1 9, 13, 19, 27, 29, 33,
35, 41
7.1 9, 13, 21, 25, 29, 39, 43, 53, 55 |
|
Fri, Oct 26 |
Lab: Sound |
|
Sound |
|
Tues, Oct 30 |
Vectors |
7.3 |
7.3 3, 13, 17, 21, 29, 37,
41, 45, 49, 53, 65, 67, 71, 75, 77, 81
|
|
Thurs, Nov 1 |
Review |
|
Study for exam! |
|
Fri, Nov 2 |
Midterm 2 |
|
|
|
Tues, Nov 6 |
Systems of linear equations |
8.1, 8.2 |
8.1 5, 15, 23, 27, 33, 37,
41, 45, 47, 51, 57
8.2 7, 13, 19, 27, 33, 39, 45, 49, 57, 65 |
|
Thurs, Nov 8 |
Linear Programming Matrices |
8.3 |
8.3 1, 5, 9, 19, 25, 35, 37, 41, 43 |
|
Fri, Nov 9 |
Group work |
|
Linear Programming |
|
Tues, Nov 13 |
Matrix Algebra |
8.4, 8.5 |
8.4 3, 11, 15, 19, 29, 37,
41, 45, 47, 57, 63, 65, 67
8.5 3, 7, 13, 19, 25, 37, 41, 43, 47 |
|
Thurs, Nov 15 |
Difference equations |
|
|
|
Fri, Nov 16 |
Group work |
|
The Red and the Gray |
|
Tues, Nov 20 |
Population Models |
|
Gopher Tortoise, Part 4 (Due Nov. 27) |
|
Thurs, Nov 22 |
Thanksgiving |
|
|
|
Fri, Nov 23 |
Thanksgiving |
|
|
|
Tues, Nov 27 |
Catch up |
|
|
|
Thurs, Nov 29 |
Review |
|
Study for exam! |
|
Fri, Nov 30 |
Midterm 3 |
|
|
|
Tues, Dec 4 |
Last class |
|
Study for final!! Gopher Tortoise write-up |
|
|
|
|
|
|
Tues, Dec 11 |
Final Exam 7:45 - 10:15 a.m. |
|
Enjoy the holidays! |