COURSE OUTLINE

MIDLANDS TECHNICAL COLLEGE

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.

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

    NOTE MAT 110 distance education classes may require a different text

PREREQUISITE: MAT 102 or appropriate assessment score

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

DEPARTMENTAL EDUSPACE COURSE CODES:

            jenki-8248DD3965CD158 (College Algebra Text)   JENKI-3324D8C36799A0 (College Algebra & Trigonometry Text)

GRADING SCALE:

        A 90 - 100        B 80 - 89        C 70 - 79        D 60 - 69        F Below 60

 

MATHEMATICS DEPARTMENT ATTENDANCE REQUIREMENTS

DEFINITIONS:

ABSENCE - Failure to be present for a scheduled meeting of 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 scheduled time 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 twice a 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 an 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:You are responsible for all material and announcements presented, whether you are present or absent.

Mathematics Department
Airport: 822-3357
Beltline: 738-7689
Revised 2/19/2007

MAT 110 COURSE OBJECTIVES

Students should be able to:

1. Use the Cartesian Coordinate system to represent various functions (including but not limited to polynomial, rational, root, exponential, and logarithmic) and analyze shifts, stretches, and reflections of their graphs.

2. Use the appropriate algebraic techniques to find roots of polynomial functions with both real and complex roots.

3. Use a graphing utility to graph equations, functions and inequalities and interpret the graphs to solve problems.

4. Solve problems involving exponential and logarithmic equations.

5. Solve problems analytically and support you answer graphically and/or numerically.

6. Solve problems by identifying what information is available and relevant to the problem.

7. Solve problems by selecting or developing appropriate procedures and relationships.

8. Solve problems by correctly applying the methods selected to the information available.

9. Solve problems by verifying the validity and appropriateness of the solution.

MAT 110 COLLEGE ALGEBRA

Note: This outline is given for the regular Fall/Spring fourteen week semesters. The same material is covered in the summer term and the sessions classes, but in the appropriate fewer number of weeks: ten weeks for summer term, seven weeks for fall and spring sessions classes, and five weeks for summer session classes.

References for the College Algebra and Trigonometry text that are different than those for the College Algebra text are included in parentheses.
WEEK

TOPIC

SECTION
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
     
5     Graphs of Rational Functions and Their Applications 3.5
      TEST 2  
     
6 Exponential and Logarithmic Functions  
      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 Equation    4.5
      Exponential Growth and Decays 4.6
     
8     Modeling Data with Exponential and Logarithmic Functions 4.7
      TEST 3  
     
9 Systems of Equations  
      Systems of Linear Equations in Two Variables 6.1 (9.1)
      Systems of Linear Equations in More Than Two Variables 6.2 (9.2)
      Nonlinear Systems of Equations 6.3 (9.3)
     
10     Partial Fractions 6.4 (9.4)
      Inequalities in Two Variables and Systems of Inequalities 6.5 (9.5)
      Linear Programming 6.6 (9.6)
     
11     TEST 4  
  Matrices and Determinants  
      Gaussian Elimination Method 7.1 (10.1)
     
12     The Algebra of Matrices 7.2 (10.2)
      The Inverse of a Matrix 7.3 (10.3)
      Introduction to Probability 7.4 (10.4)
     
13 Sequences, Series and Probability  
      The Binomial Theorem 8.5 (11.5)
      Permutations and Combinations 8.6 (11.6)
      Introduction to Probability 8.7 (11.7)
     
14     TEST 5  
     
  Cumulative Final Examination