COURSE OUTLINE

MIDLANDS TECHNICAL COLLEGE  

Math Department

 

MAT 110             COLLEGE ALGEBRA           3.0 Credit Hours

 


COURSE DESCRIPTION: This course includes the following topics: polynomial, rational, logarithmic and exponential functions; inequalities; systems of equations and inequalities; matrices; determinants; simple linear programming; solutions of higher degree polynomials; combinatorial algebra, including the binomial theorem; and introduction to probability.

 

PREREQUISITE: MAT 102 or appropriate assessment score

TEXT: College Algebra  or College Algebra and Trigonometry, Fifth Edition, by Richard Aufmann, Vernon Barker, Richard Nation; Houghton Mifflin, 2005

 

EQUIPMENT: Graphing calculator required; TI-83 or TI-83+ recommended

GRADING SCALE

A   90 - 100

B   80 -  89

C   70 -  79

D   60 -  69

F   Below 60

 

A listing of major course objectives may be found at http://www.midlandstech.com/math/mat1101.htm


MATHEMATICS DEPARTMENT

ATTENDANCE REQUIREMENTS

 

DEFINITIONS:

ABSENCE -          Failure to be present for a scheduled meeting of the class or arriving for the class more than ten minutes after the scheduled time for the class to begin.

TARDY ---             Arrival to class after the instructor has called the roll and before ten minutes past the time scheduled for the class to begin.

 

I.                    Absences are counted from the first day of classes.

 

II.                 Five absences are allowed for a class that meets three times per week, and three absences are allowed for a class that meets two times per week.

 

III.               Three tardies are considered as one absence.  The student must meet with the instructor at the end of the class to which he has been late to have the absence changed to a tardy.

 

IV.              There are no "excused" absences; all absences are counted, regardless of the reason for the absence.

 

V.                 A student missing class time by leaving early will also be counted absent.

 

Please note the following: You are responsible for all material and announcements presented, whether you are present or absent.



MAT 110            COLLEGE ALGEBRA

 


 

WEEK

 

TOPIC

TEXT REF.

 

 

 

1

Functions and Graphs

 

 

A Two-Dimensional Coordinate System and               Graphs

2.1

 

Introduction to Functions

2.2

 

Quadratic Functions

2.4

 

 

 

2

Properties of Functions

2.5

 

The Algebra of Functions

2.6

 

Modeling Data Using Regression

2.7

 

 

 

3

TEST 1

 

 

 

 

 

Polynomial and Rational Functions

 

 

The Remainder Theorem and the Factor                     Theorem

3.1

 

 

 

4

Polynomial Functions of Higher Degree

3.2

 

Zeros of Polynomial Functions

3.3

 

The Fundamental Theorem of Algebra

3.4

 

 

 

 

Graphs of Rational Functions and Their                      Applications

3.5

5

TEST 2

 

 

 

 

 

Exponential and Logarithmic Functions

 

6

Inverse Functions

4.1

 

Exponential Functions and Their Applications

4.2

 

Logarithmic Functions and Their Applications

4.3

 

 

 

7

Logarithms and Logarithmic Scales

4.4

 

Exponential and Logarithmic Equations

4.5

 

Exponential Growth and Decay

4.6

 

 

 

8

Modeling Data with Exponential and                          Logarithmic Functions

4.7

 

TEST 3

 

 

 

 

 

Systems of Equations

 

9

Systems of Linear Equations in Two Variables

6.1

 

Systems of Linear Equations in More Than                Two Variables

6.2

 

Nonlinear Systems of Equations

6.3

 

 

 

10

Partial Fractions

6.4

 

Inequalities in Two Variables and Systems of             Inequalities

6.5

 

Linear Programming

6.6

 

 

 

11

TEST 4

 

 

 

 

 

Matrices and Determinants

 

 

Gaussian Elimination Method

7.1

 

 

 

12

The Algebra of Matrices

7.2

 

The Inverse of a Matrix

7.3

 

Determinants

7.4

 

 

 

13

Sequences, Series and Probability

 

 

The Binomial Theorem

8.5

 

Permutations and Combinations

8.6

 

Introduction to Probability

8.7

 

 

 

14

TEST 5

 

 

 

Final Examination