MAT 1040 - Intermediate Algebra
4 credit hours
MAT 1040 continues development and applications of algebraic, graphing, calculator, and problem-solving skills, with emphasis on linear and non-linear expressions, functions, equations and inequalities. (“Non-linear” includes absolute value, polynomial, rational, radical, exponential, and logarithmic.) Other topics include real and complex numbers, exponents and radicals. Class includes one-hour mandatory lab component. This does not satisfy general education mathematics requirement. (Formerly MAT 102. Credit may not be received for both MAT 1040 and MAT 104, nor can credit be received for both MAT 1040 and MAT 102, nor can credit be received for both MAT 104 and MAT 107, nor can credit be received for both MAT 104 and MAT 101.)
Prerequisites: Elementary high school algebra (parts I and II) and a score of at least 82 on Accuplacer, CP3, or a grade of “P4” in DVM 0070 or 0080 [formerly DVM 007 or DVM008], AND reading placement score, DVR 0060 [formerly DVR 006] completed or concurrent or the equivalent and CAP 1030 completed or concurrent for first-time students.
Books:
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Sullivan, Struve, & Mazzarella. Elementary & Intermediate Algebra. Pearson Education, Inc., 2007. (Includes MyMathLab powered by CourseCompass.) |
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Or |
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Baldwin, Kumar. Intermediate Algebra (A Modern Approach), 1st edition. Stockbridge, GA: EDUCO International, Inc, 2003. (Includes EDUCO Learning System) |
Outcomes:
Upon successful completion of the course, each student should be able to use symbolic, numerical, and visual skills to find and verify solutions of algebra problems and algebra applications (of intermediate-level difficulty) in the following areas:
1. Solve one-variable linear equations graphically.
2.
Solve one-variable quadratic equations symbolically and graphically.
3.
Solve one-variable absolute value equations symbolically and graphically.
4.
Solve one-variable rational equations symbolically and graphically.
5.
Solve one-variable radical equations symbolically and graphically.
6.
Solve simple linear inequalities symbolically, numerically, and graphically, writing solutions in algebraic, interval, and number-line notation.
7.
Solve compound linear inequalities symbolically, numerically, and graphically, writing solutions in algebraic, interval, and number-line notation.
8.
Graph linear inequalities in two variables on the coordinate system.
9.
Solve systems of linear equations in two variables.
10.
Solve systems of linear inequalities in two variables.
11.
Recognize linear, quadratic, cubic, absolute value, rational, radical, exponential, and logarithmic functions.
12. Evaluate linear, quadratic, cubic, absolute value, rational, radical, exponential, and logarithmic functions with and without a graphing calculator.
13. Graph linear, quadratic, cubic, absolute value, rational, radical, exponential, and logarithmic functions with and without a graphing calculator.
14.
Demonstrate the basics of functions and function notation.
15. Factor the sum and difference of cubes.
16. Factor expressions with negative exponents.
17. Factor expressions with fractional exponents.
18. Factor higher order polynomials in quadratic form.
19. Simplify and perform arithmetic on radical expressions.
20. Simplify and perform arithmetic on complex numbers.
21. Simplify and perform arithmetic on expressions with negative and fractional exponents.
22. Simplify and perform arithmetic on rational expressions.
23. Simplify and perform arithmetic on expressions with complex fractions.
24. Analyze and solve appropriate applications including curve fitting with graphing calculators.
25. Techniques of algebraic problem solving should be used throughout the course.
