MATH 1000 - Intermediate Algebra Credit Hours: 4.00 Prerequisites: MATH 0070 with grade C or better, or equivalent college course, or an acceptable score on a placement exam or prerequisite exam
(3 credit hours prior to Fall 1990)
MATH 1000 is an additional course in algebra and includes systems of linear equations in three variables; expressions and equations containing quadratic, rational, radical, exponential, and logarithmic terms; rational and quadratic inequalities; complex numbers; graphs of lines, parabolas, and circles; and an introduction to functions and functional notation.
Contact Hours: 4 Billable Contact Hours: 4 OUTCOMES AND OBJECTIVES Outcome 1: Upon completion of the course, the student will be able to solve systems of linear equations in three variables.
Objectives: Students will perform the following without the use of a calculator:
- Solve systems of 3 equations with 3 unknowns (with elimination)
- Applications.
Outcome 2: Upon completion of the course, the student will be able to solve rational equations.
Objectives: Students will perform the following without the use of a calculator:
- Simplify rational expressions.
- Add and subtract rational expressions with like and unlike denominators.
- Multiply and divide rational expressions.
- Simplify complex fractions.
- Solve rational equations and check for extraneous solutions.
- Solve applications with rational equations.
Outcome 3: Upon completion of the course, the student will be able to evaluate functions.
Objectives: Students will perform the following without the use of a calculator:
- Determine when a relation is a function.
- Evaluate functions.
- Find domain and range of a function.
Outcome 4: Upon completion of the course, the student will be able to solve absolute value equations and inequalities.
Objectives: Students will perform the following without the use of a calculator:
- Solve absolute value equations.
- Solve absolute value inequalities.
- Determine when an absolute value or inequality has no solution or infinite solutions.
Outcome 5: Upon completion of the course, the student will be able to solve radical equations.
Objectives: Students will perform the following without the use of a calculator:
- Use properties of rational exponents.
- Convert rational exponents to radical form and vice versa.
- Simplify and perform basic operations on radicals.
- Solve equations with rational exponents and radicals.
- Perform basic operations on complex numbers.
Outcome 6: Upon completion of the course, the student will be able to solve quadratic equations.
Objectives: Students will perform the following without the use of a calculator:
- Solve quadratic equations by factoring, completing the square, square root property, and quadratic formula.
- Solve equations in quadratic form.
- Solve applications with quadratic equations.
- Find the vertex of a parabola and graph.
- Solve quadratic and rational inequalities.
Outcome 7: Upon completion of the course, the student will be able to graph circles.
Objectives: Students will perform the following without the use of a calculator:
- Find the distance between two points using the distance formula.
- Identify the center and radius of a circle.
- Graph a circle.
Outcome 8: Upon completion of the course, the student will be able to solve logarithmic and exponential equations.
Objectives: Students will perform the following without the use of a calculator:
- Convert expressions from exponential form to logarithmic form and vice versa.
- Evaluate logarithms.
- Use properties of logarithms to expand and condense logarithmic expressions.
- Solve exponential and logarithmic equations.
- Solve applications using exponential and logarithmic equations.
COMMON DEGREE OUTCOMES (Bulleted outcomes apply to the course)
- The graduate can integrate the knowledge and technological skills necessary to be a successful learner.
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- 2. The graduate can demonstrate how to think competently.
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- 3. The graduate can demonstrate how to employ mathematical knowledge.
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- The graduate can demonstrate how to communicate competently.
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- The graduate is sensitive to issues relating to a diverse, global society.
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COURSE CONTENT OUTLINE
- Review
- Systems of equations in two variables
- Graph lines using slope-intercept form
- Factor polynomials
- Systems of Linear Equations in Three Variables
- Solve systems of equations in three variables
- Applications
- Rational Expressions and Equations
- Simplify rational expressions
- Add, subtract, multiply, and divide
- Simplify complex fractions
- Rational equations
- Applications
- Functions
- Relations
- Vertical Line Test
- Evaluate functions
- Domain and range
- Absolute Value Equations and Inequalities
- Equations
- Inequalities
- Exponents, Radicals and Complex Numbers
- Rational exponents
- Simplify radicals
- Add, subtract, multiply, and divide radicals
- Solve equations with radicals
- Complex numbers
- Quadratic Equations and Functions
- Solve quadratic equations by
- Factoring
- Square Root Property
- Completing the square
- Quadratic formula
- Solve equations in quadratic form
- Applications
- Solve quadratic and rational inequalities
- Graph parabolas
- Circles
- Use distance formula
- Find center and radius of a circle and graph
- Exponents and Logarithms
- Convert between exponential and logarithmic forms
- Evaluate logarithms
- Expand and condense logarithmic expressions
- Solve exponential and logarithmic equations
- Applications
Primary Faculty Friday, David Secondary Faculty Chapman, Lori Associate Dean Somyak, Michael Dean Pritchett, Marie
Official Course Syllabus - Macomb Community College, 14500 E 12 Mile Road, Warren, MI 48088
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