MAT 096 - Elementary Algebra and Trigonometry
Polynomials; factoring; functions; rational expressions; linear, quadratic and rational equations; graphs of basic functions; linear systems; topics in geometry; general angles in degrees and radians; right triangle trigonometry. This is a self-paced model where each student completes the given objectives working in a computer classroom setting.
Prerequisite: MAT 093 Integrated Arithmetic and Basic Algebra, or equivalent
4 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
Perform skills in four categories: Algebra, Geometry/Trigonometry, Graphing and Problem Solving/Estimation.
Note: Throughout the course the students are expected to solve applied problems related to the topics of the course.
1. Solve 2 by 2 linear systems by graphing, substitution, and elimination.
2. Solve 3 by 3 linear systems by elimination.
3. Solve applications problems involving 2 by 2 and 3 by 3 systems of linear equations.
4. Define and identify polynomials.
5. Add, subtract, and multiply polynomials.
6. Factor a monomial from a polynomial and factor expressions that are quadratic in form with a leading coefficient of 1.
7. Factor expressions that are quadratic in form with a leading coefficient not equal to 1.
8. Factor expressions that are the sum and difference of cubes.
9. Factor expressions that can be factored by grouping.
10. Divide polynomials by monomials.
11. Divide polynomials by binomials using long division.
12. Solve polynomial equations by factoring.
13. Solve applications involving polynomial equations.
14. Simplify algebraic monomials inside a square root.
15. Simplify nth roots.
16. Simpligy nth roots of variable expressions.
17. Solve quadratic equations by the square root property, completing the square, and the quadratic formula.
18. Solve application problems with quadratic equations.
19. Multiply, divide, add, and subtract algebraic fractions.
20. Simplify complex fractions.
21. Solve rational equations that reduce to linear or quadratic form.
22. Solve and evaluate literal equations.
23. Solve application problems with rational equations.
24. Define a function, evaluate functions at a given value, and determine the domain and range of a function.
25. Apply the vertical line test, compare the graphs of functions and non-functions and determine the domain of a rational function.
26. Graph a parabola by finding the vertex, intercepts, and axis of symmetry.
27. Graph a circle given its equation in standard or general form and state the center and radius of the circle.
28. Use completing the square to graph circles and parabolas.
29. Find values of the six trigonometric functions using right triangles, and evaluate the six trigonometric functions of general angles measured in degrees.
30. Know the exact trigonometric ratios in a 30º-60º-90º triangle and 45º-45º-90º triangle.
31. Evaluate inverse trigonometric values to degree measure.
32. Find reference angles for angles measured in degrees.
33. Convert between radians and degrees.
34. Evaluate the six trigonometric functions of general angles measured in radians.
35. Evaluate inverse trigonometric values to radians.
36. Solve applications using right triangle trigonometry.
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