COURSE OUTLINE

MIDLANDS TECHNICAL COLLEGE

 

MAT 101 ALGEBRA FUNDAMENTALS

3.0 Credit Hours

 

COURSE DESCRIPTION: This course includes the following topics: operations with signed numbers; addition, subtraction, multiplication and division with algebraic expressions; factoring; techniques for solving linear and fractional equations; and an introduction to graphing.

TEXT: Elementary and Intermediate Algebra
by George Woodbury
Addison Wesley, 2006

Note: Distance Learning courses may use a different text.

PREREQUISITE: MAT 100, RDG 032 or Appropriate Assessment Score

EQUIPMENT: Graphing Calculator, TI-83 or TI-83+

    Note: A graphing calculator is required for all mathematics courses numbered
              102 and above. The TI-83 or TI-83+ graphing calculator is highly recommended.

GRADING SCALE: The math department strongly recommends that students achieve a grade of C or better before taking any subsequent classes for which MAT 101 is a prerequisite.

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

Departmental Assignments

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; three absences for a class that meets twice a week.
Summer term

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 2/14/2007

MAT 101 COURSE OBJECTIVES

Students should be able to:

    1. Factor binomials and trinomials and use these techniques in solving quadratic equations
    2. Combine rational expressions by addition, subtraction, multiplication, and division and solve rational equations.
    3. Represent linear equations graphically and identify slope and intercepts.
    4. Solve word problems with linear and quadratic equations (including, but not limited to mixture and interest).
    5. Solve problems by identifying what information is available and relevant to the problem.
    6. Solve problems by selecting or developing appropriate procedures and relationships.
    7. Solve problems by correctly applying the methods selected to the information available.
    8. Solve problems by verifying the validity and appropriateness of the solution.

 

MAT 101 Algebra Fundamentals

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.
WEEK TOPIC SECTION
1 Linear Equations  
      Introduction to Linear Equations 2.1
      Solving Linear Equations: A General Strategy 2.2
     
2     Problem Solving: Applications of Linear Equations 2.3
      Application Involving Percents; Ratio and Proportion 2.4
     
3     Linear Inequalities 2.5
      TEST 1  
  Graphing Linear Equations  
      The Rectangular Coordinate System; Equations in Two Variables 3.1
     
4     Graphing Linear Equations and Their Intercepts 3.2
      Slope of a Line 3.3
      Linear Functions 3.4
     
5     Parallel and Perpendicular Lines 3.5
      Equations of Lines 3.6
     
6     Linear Inequalities 3.7
      TEST #2  
  Exponents and Polynomials  
      Exponents 5.1
     
7     Negative Exponents; Scientific Notation 5.2
      Polynomials; Addition and Subtraction of Polynomials 5.3
      Multiplying Polynomials 5.4
     
8     Division of Polynomials 5.5
      TEST 3  
  Factoring and Quadratic Equations  
      An Introduction to Factoring; The greatest Common Factor; Factoring by Grouping 6.1
       
9     Factoring Trinomials of the form x2 + bx + c 6.2
      Factoring Trinomials of the Form ax2 + bx + c 6.3
      Factoring Special Binomials 6.4
     
10     Factoring Polynomials; A General Strategy 6.5
      Solving Quadratic Equations by Factoring 6.6
      Quadratic Functions 6.7
     
11     Applications of Quadratic Equations and Quadratic Functions 6.8
      TEST 4  
     
12 Rational Expressions and Equations  
      Rational Expressions and Functions 7.1
      Multiplication and Division of Rational Expressions 7.2
      Addition and Subtraction of Rational Expressions with the Same Denominator 7.3
     
13     Addition and Subtraction of Rational Expressions with the Unlike Denominator 7.4
      Complex Fractions 7.5
      Rational Equations 7.6
     
14     Applications of Rational Equations 7.7
      TEST 5  
      Review  
     
      Comprehensive Departmental Final Examination