Mercer County Community College  Liberal Arts Division    Prof. PORTER

MAT 146   Precalculus      “The Study of Functions  TENTATIVE COURSE OUTLINE

Catalog Description: A second course in the mathematics sequence leading to calculus for engineering, computer science, math, and science majors.  In depth study of polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions, equations, and identities; systems of equations including matrices; extensive use of graphing calculators.

Prerequisites:         MAT141 with minimum C grade

“This course is about 1/3 polynomial and rational functions, a little less than a third exponential and logarithmic functions, and about 1/3 trig functions. Remaining time is spent on systems of equations.”

Required Materials: “Make sure you get a calculator!”

Text: Precalculus, A graphing Approach

            by Barnett, Zeigler, Byleen, 3rd

            McGraw Hill Publishers

A graphing calculator is required. 

TI – 83/84/86 is strongly recommended

Instructor Contact Info: “e-mail is preferred, do not rely on the phone!”

E-mail: porterr@mccc.edu 

Office: LA 117 

Office Hours: After class.

 (see web page for other times)

Web Page:    http://www.mccc.edu/~porterr

Phone:570-3826

Grading:No make-up exams! The Final will used to calculate grades for valid excuses.”

Quizzes/Homework

15%

Test 1

10%

In-Class Midterm

15%

Test 3/ Presentation

10%

Regression Project

10%

In-Class Final**

40%

Total

100%

**Must Receive a 50% on Final to pass course!**

 

93%-100%........A

90%-92%..........A-

87%-89%..........B+      A curve may be applied

83%-86%..........B        to low exam grades, but

80%-83%..........B-       not to high exams.

77%-79%..........C+

70%-76%..........C

60%-69.5%.......D

<59.5%.............F

Topics:

 

 

 

 

The emphasis in this course is on presenting a good argument not simply producing an answer.

 

SHOW ALL WORK TO SUPPORT YOUR ARGUMENTS AND TO GET FULL CREDIT.

 

An “OK” mark on your paper means the answer is wrong but you get full credit for the argument.

 

Leave all work visible as you might get half credit for arguments that are good, but crossed off.

 

Unjustified answers receive NO credit!

1

8/26

Review,1.5

Review of Functions and Models

2

8/28

Review,1.6

Inverse Functions

3

9/2

3.1

Polynomial Functions

4

9/4

3.2

Polynomial Division

5

9/9

3.3

Polynomial Inequalities

6

9/11

3.4

Zeros of Polynomial

7

9/16

3.5

Rational Functions

8

9/18

4.1

Exponential Functions

9

9/23

 

Review

10

9/25

4.2

Base “e”, Models

11

9/30

4.3

Logarithmic Functions

12

10/2

4.4

Logarithmic Models

13

10/7

4.5

Exponential Equations

14

10/9

5.1

Angles and Their Measure

15

10/14

5.2

Circular Functions

16

10/16

5.3

Right Triangle Trig.

17

10/21

5.4

Trig Functions

18

10/28

 

 

19

10/30

MIDTERM

 

20

11/4

5.5

Graphing Basic Trig Functions

21

11/6

5.6

Inverse Trig Functions

22

11/11

6.1

Identities

23

11/13

6.2

Sum and Difference Formulas

24

11/28

6.3

Double and Half Angle Identities

25

11/20

7.1

Trig Equations

26

11/25

7.2

Law of Sines

27

12/2

8.1

Law of Coines

28

12/4

8.2

Reduced Row Echelon Form

29

12/9

8.3+8.4

Linear Programming

30

12/11

REVIEW

 

 

 

REVIEW

 

Course Objectives

 

Answer the questions:

  1. Why are you taking this course?

 

  1. Why is the course required for your major?

 

 

  1. What is Precalculus?

 

  1. What are functions?

 

 

  1. How are the ways that functions can be represented?

 

 

  1. How can data be turned into equations?

 

 

  1. How can equations be turned into graphs?

 

 

  1. How can equations and graphs be used to make predictions?

 

What is the difference between solving and evaluating?

 

 

  1. How good are the predictions? What do you think of others’ predictions?

 

 

  1. What is calculus?

 

 

  1. How will this course affect your everyday living?

 

 

  1. What is zero times infinity?