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.

  1. There will be problems assigned from the exercises at the end of each section we cover in the text. These problems will not be turned in. The answers are in the back of the book. You are expected to do as many of these problems as necessary, before the next class, to ensure that you have a firm grasp of the material from that section. Occasionally, you may need to do additional problems on topics you find particularly tricky. Some of these problems will appear, verbatim, on the midterms and the final.
  2. Each week, you will also be given an assignment which will be due by class on Tuesday. These will be more complicated modeling projects which involve applying the material covered to date. While these will be graded primarily on their mathematical correctness, the presentation (clarity, spelling, grammar, punctuation, etc.) will count. Late homework will be accepted until class on Thursday, losing 20% each day. After the beginning of Thursday's class, late homework will not be accepted.

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!