MS-100 College Algebra

Course Description: Identifies components of exponential expressions in polynomials with mathematical operation of exponential expressions; factoring of up to 4th degree polynomials; recognizing rational and irrational numbers with emphasis on the use of number lines, equation and inequality solving with application problems; introduction of literal equations; working with radical expressions; graphing of two variables on the xy plane; solving systems of equations in two or three variables.

  • Prerequisite Courses: A “C” or better in MS 099, OR a “P” in MS 092, OR by placement

APROGRAM LEARNING OUTCOMES (PLOs):
The student will be able to:

  1. Demonstrate understanding and apply mathematical concepts in problem solving and in day to day activities.
  2. Present and interpret numeric information in graphic forms.
  3. Communicate thoughts and ideas effectively using proper mathematical terms.

BSTUDENT LEARNING OUTCOMES (SLOs): GENERAL
The student will be able to:

  1. Graph and solve linear and quadratic equations and inequalities.
  2. Evaluate and analyze functions and their graphs including combinations and compositions of functions.
  3. Sketch and analyze graphs polynomial functions and mathematical models of variation.
  4. Determine the domains of rational functions, find asymptotes, and sketch the graphs of rational functions.

SLO

PLO 1

PLO 2

PLO 3

1

I,D,M

I, D

D, M

2

I,D,M

I, D

I, D

3

I, D

I, D

I

4

I

I

I

I = Introduced
D = Demonstrated
M = Mastered

CSTUDENT LEARNING OUTCOMES (SLOs):  SPECIFIC
The student will be able to:

General SLO 1.  The student will be able to graph and solve linear and quadratic equations and inequalities.


Student Learning Outcomes

Assessment Strategies

1.1 Sketch the graph of a linear equation.

Homework, and/or quizzes, and/or exams.

1.2 Solve linear, quadratic, polynomial, and     radical equations.

Homework, and/or quizzes, and/or exams.

1.3 Perform operations with complex         numbers.

 

Homework, and/or quizzes, and/or exams.

1.4 Solve linear inequalities.

           

Homework, and/or quizzes, and/or exams.

General SLO 2. The student will be able to evaluate and analyze function and their graphs including combinations and compositions of functions.


Student Learning Outcomes

Assessment Strategies

2.1 Find and use slopes of lines to write and         graph liner equations in two variables.

Homework, and/or quizzes, and/or exams.

2.2 Evaluate functions and find their  domains.

Homework, and/or quizzes, and/or exams.

2.3 Analyze the graphs of functions.

Homework, and/or quizzes, and/or exams.

2.4 Find arithmetic combinations and  compositions of functions algebraically.

Homework, and/or quizzes, and/or exams.

2.5 Use composition to find the inverse of a   function.

Homework, and/or quizzes, and/or exams.

General SLO 3.  The student will be able to sketch and analyze graphs polynomial functions and mathematical models of variation.


Student Learning Outcomes

Assessment Strategies

3.1 Perform long division to divide polynomials.

Homework, and/or quizzes, and/or exams.

3.2 Sketch and analyze graphs of polynomial functions.

Homework, and/or quizzes, and/or exams.

General SLO 4.  The student will be able to determine the domains of rational functions, find asymptotes, and sketch the graphs of rational functions.


Student Learning Outcomes

Assessment Strategies

4.1 Find the domains of rational functions.

           

Homework, and/or quizzes, and/or exams.

4.2   Find the horizontal/vertical asymptotes for graphs of rational functions.

Homework, and/or quizzes, and/or exams.

4.3 Recognize graphs of circles, ellipses, parabolas, and hyperbolas.

Homework, and/or quizzes, and/or exams.

D.  COURSE CONTENT

  1. Solve and graph linear equation in one and two variables.
  2. Solve and graph quadratic equations.
  3. Solve and graph linear inequalities.
  4. Solve polynomial equations.
  5. Simplify and perform arithmetic operations with complex numbers.
  6. Evaluate, analyze, and perform arithmetic operations with functions.
  7. Find the domains of rational functions.
  8. Find the horizontal and vertical asymptotes for graphs of rational functions.
  9. Recognize graphs of circles, ellipses, parabolas, and hyperbolas.
  10. Use linear equations, quadratic equations, and common formulas to solve real-life problems.

EMETHODS OF INSTRUCTION
The course will involve the use of lectures, class discussions, and activities.  Small groups of cooperative teaching/learning can be utilizedUtilizinggraphing tools (graphing calculator or graphing software) will assist students in visualizing equations and graphs. Quizzes and examinations will provide measurement of achievement of course objectives. 

F.  REQURIED TEXT(S) AND COURSE MATERIALS
Algebra and Trigonometry, by Larson, 8th edition.  Brooks/Cole Cengage Learning (or most recent edition).
Scientific Calculators
Graphing calculator and/or Software (optional)

GREFERENCE MATERIALS
None
           
H.  INSTRUCTIONAL COSTS
Graphing calculators.

I.   EVALUATION
None

J.   CREDIT BY EXAMINATION
None

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