Standard |
rev.11/26/03
MAT 191 - College Algebra
Emphasizes techniques of problem solving using algebraic concepts. Topics include: algebraic concepts and operations, linear and quadratic equations and functions, simultaneous equations, inequalities, exponents and powers, graphing techniques, and analytic geometry.
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Competency
Areas |
Hours | ||
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Algebraic Concepts and Operations |
Class |
5 | |
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Linear and Quadratic Equations and Functions |
D. Lab |
0 | |
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Simultaneous Equations |
P. Lab/O.B.I. |
0 | |
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Inequalities |
Credit |
5 | |
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Exponents and Powers |
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Graphing Techniques |
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Analytic Geometry |
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Prerequisite: |
Program admission level math achievement | ||
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Corequisite: |
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Course Guide |
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Competency |
After completing this
section, the student will: |
Hours | ||
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Class |
D.Lab |
P.Lab/
O.B.I. | ||
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ALGEBRAIC CONCEPTS AND
OPERATIONS |
10 |
0 |
0 | |
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Fundamental laws |
Identify the fundamental laws of algebra. |
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Algebraic expressions |
Utilize fundamental laws of algebra to simplify algebraic expressions. |
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Equations and formulas |
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LINEAR AND QUADRATIC EQUATIONS AND FUNCTIONS |
15 |
0 |
0 | |
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Linear equations |
Solve linear equations. |
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Factoring |
Identify all factors of algebraic expressions. |
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Fractions |
Convert complex algebraic fractions to equivalent forms. |
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Quadratic equations |
Calculate sum, difference, product, and quotient of algebraic expressions. |
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Solve quadratic equations. |
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SIMULTANEOUS EQUATIONS |
9 |
0 |
0 | |
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Graphical solutions |
Solve systems of linear equations graphically. |
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Algebraic solutions |
Solve systems of equations algebraically. |
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Solutions by determinants |
Solve systems of linear equations by using determinants. |
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INEQUALITIES |
2 |
0 |
0 | |
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Graphical solutions |
Solve inequalities graphically. |
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Algebraic solutions |
Solve inequalities algebraically. |
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EXPONENTS AND POWERS |
3 |
0 |
0 | |
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Laws of exponents |
Compute the value of expressions involving exponents. |
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Scientific notation |
Convert numbers to scientific notation. |
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GRAPHING TECHNIQUES |
6 |
0 |
0 | |
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Cartesian coordinates |
Identify points on a Cartesian plane by given coordinates. |
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Graphing functions |
Prepare graphs of algebraic equations. |
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ANALYTIC GEOMETRY |
5 |
0 |
0 | |
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Straight line |
Mathematically define a straight line and its properties. |
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Conics |
Mathematically define and identify the circle, parabola, hyperbola, and ellipse. |
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Suggested Resources |
Suggested
Resources include textbooks shown below or most current edition.
Benice, D. D. (1989). Prealgebra and algebra (4th ed.).
Englewood Cliffs, NJ: Prentice Hall.
Christopher, J. (1991). Introductory technical mathematics
(2nd ed.). Englewood Cliffs, NJ: Prentice Hall.
Clar, L. M., & Hart, J. A. (Latest
edition). Mathematics for the
technologies. Englewood Cliffs, NJ: Prentice Hall.
Cooke, N. M., & Adams, H. F. (1986).
Basic mathematics for
electronics (6th ed.). New York: McGraw-Hill.
Davis, L. (1990). Technical mathematics with calculus.
Columbus, OH: Macmillan.
Fleming, W., & Varberg, D. (1988). Algebra and trigonometry (3rd ed.).
Englewood Cliffs, NJ: Prentice Hall.
Gilbert, J., et al. (1981). College algebra. Englewood Cliffs,
NJ: Prentice Hall.
Paul, R. S., & Shaevel, M. L. (1989).
Essentials of technical mathematics
with calculus (2nd ed.). Englewood Cliffs, NJ: Prentice
Hall.
Radford, L. (1986). Introduction to technical mathematics with
calculus. Boston: Brenton.
Singer, B. B., & Forster, H. (1990).
Basic mathematics for electricity and
electronics (4th ed.). New York: McGraw-Hill.
Smith, K. J. (1990). Precalculus mathematics: A functional
approach (4th ed.). Pacific Grove, CA: Brooks-Cole.
Swokowski, E. W. (1989). Fundamentals of algebra and
trigonometry (7th ed.). Boston: Prindle, Weber &
Schmidt.
Washington, A. J. (1990). Basic technical mathematics with calculus (5th ed.). Redwood City, CA: Benjamin-Cummings.