Standard |
Introduces concepts and operations which can be applied to the study of algebra. Course content emphasizes: basic mathematical concepts, basic algebraic concepts, and intermediate algebraic concepts. Class includes lecture, applications, and homework to reinforce learning.
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Competency Areas |
Hours
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Basic Mathematical Concepts |
Class |
5 |
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Basic Algebraic Concepts |
D. Lab |
0 |
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Intermediate Algebraic Concepts |
P. Lab/O.B.I. |
0 |
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Credit |
5 |
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Prerequisite: |
MAT 098, or entrance arithmetic and algebra scores in accordance with approved DTAE admission score levels |
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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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BASIC MATHEMATICAL CONCEPTS |
5 |
0 |
0 |
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Arithmetic review |
Solve problems using exponents, roots, and scientific notation. |
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Simplify radicals and use them in arithmetic operations. |
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Signed numbers |
Perform operations using signed numbers. |
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Define absolute value and use in calculations. |
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Use signed numbers in application problems. |
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Order of operation |
Apply hierarchy of operations to solve mathematical problems requiring multiple operations. |
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BASIC ALGEBRAIC CONCEPTS |
30 |
0 |
0 |
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Unknowns and variables |
Define concept and notation used for variable quantities. |
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Algebraic expressions |
Combine like terms. |
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Perform operations on algebraic expressions. |
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Expand expressions with exponents. |
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Factor polynomials. |
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Algebraic fractions |
Perform operations on algebraic fractions. |
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Equations and formulas |
Solve linear equations. |
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Solve quadratic equations by factoring or by use of the quadratic formula. |
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Solve equations involving algebraic fractions. |
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Solve formulas for a designated unknown. |
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Solve applied problems involving linear or quadratic equations. |
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INTERMEDIATE ALGEBRAIC CONCEPTS |
15 |
0 |
0 |
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Functions |
Define the concept of one variable being a function of another. |
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Evaluate linear and quadratic functions. |
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Graph linear and quadratic functions on the rectangular and coordinate system. |
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Solve applied problems using linear and quadratic functions. |
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Linear systems |
Solve systems of linear equations with 2 or 3 variables using elimination, substitution, graphing, and determinants. |
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Suggested Resources |
Suggested
Resources include textbooks shown below or most current edition.
Calter, P. (1990). Technical mathematics (2nd ed.). Englewood Cliffs, NJ: Prentice
Hall.
Cleaves, C., et al. (1988). Introduction to technical mathematics.
Englewood Cliffs, NJ: Prentice Hall.
Groza, S. (1986). Elementary algebra (4th ed.). Philadelphia: Saunders College.
Person, R. V., & Person, V. J. (1989). Essentials of mathematics (5th ed.). New
York: John Wiley & Sons.
Washington, A. J. (1990). Basic technical mathematics (5th
ed.). Redwood City, CA: Benjamin-Cummings.
Washington,
A. J., & Triola, M. F. (1988). Introduction
to technical mathematics (4th ed.). Redwood City, CA: Benjamin-Cummings.
Wise, A. (1989).
Beginning algebra and problem solving
(2nd ed.). San Diego: Harcourt Brace Jovanovich.
Yamato, Y.,
& Cordon, M. J. (1987). Mastering
elementary algebra. San Diego: Harcourt Brace Jovanovich.