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Mar 29, 2024
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Website Catalog (In Development)
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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- Corequisite Prerequisite: MAT 093 Integrated Arithmetic and Basic Algebra, or equivalent
Credits: 4 Hours 4 Class Hours Course Profile 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.
- Solve 2 by 2 linear systems by graphing, substitution, and elimination.
- Solve 3 by 3 linear systems by elimination.
- Solve applications problems involving 2 by 2 and 3 by 3 systems of linear equations.
- Define and identify polynomials.
- Add, subtract, and multiply polynomials.
- Factor a monomial from a polynomial and factor expressions that are quadratic in form with a leading coefficient of 1.
- Factor expressions that are quadratic in form with a leading coefficient not equal to 1.
- Factor expressions that are the sum and difference of cubes.
- Factor expressions that can be factored by grouping.
- Divide polynomials by monomials.
- Divide polynomials by binomials using long division.
- Solve polynomial equations by factoring.
- Solve applications involving polynomial equations.
- Simplify algebraic monomials inside a square root.
- Simplify nth roots.
- Simplify nth roots of variable expressions.
- Solve quadratic equations by the square root property, completing the square, and the quadratic formula.
- Solve application problems with quadratic equations.
- Multiply, divide, add, and subtract algebraic fractions.
- Simplify complex fractions.
- Solve rational equations that reduce to linear or quadratic form.
- Solve and evaluate literal equations.
- Solve application problems with rational equations.
- Define a function, evaluate functions at a given value, and determine the domain and range of a function.
- Apply the vertical line test, compare the graphs of functions and non-functions and determine the domain of a rational function.
- Graph a parabola by finding the vertex, intercepts, and axis of symmetry.
- Graph a circle given its equation in standard or general form and state the center and radius of the circle.
- Use completing the square to graph circles and parabolas.
- Find values of the six trigonometric functions using right triangles, and evaluate the six trigonometric functions of general angles measured in degrees.
- Know the exact trigonometric ratios in a 30º-60º-90º triangle and 45º-45º-90º triangle.
- Evaluate inverse trigonometric values to degree measure.
- Find reference angles for angles measured in degrees.
- Convert between radians and degrees.
- Evaluate the six trigonometric functions of general angles measured in radians.
- Evaluate inverse trigonometric values to radians.
- Solve applications using right triangle trigonometry.
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