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MAT 140 - Pre-Calculus Mathematics
This course is designed to add depth and breadth to a student’s mathematical
background before embarking on a study of the methods of calculus. The course
covers a review of algebra, linear, and quadratic functions; polynomial,
rational, exponentional, radical, and logarithmic functions; compositions and
inverses of functions; theory of polynomials with the Fundamental Theorem of
Algebra; trigonometric functions and identities; additional topics and
applications. Prerequisite: MAT-108 and MAT-130 or MAT-125 or equivalent
Course Objectives: Upon successful completion of the course, the
student will be able to
- Express complex problems in symbolic form and solve using equations,
inequalities and absolute values.
- Use all manner of numbers effectively, including those expressed in
scientific, exponential, logarithmic, and radical form as well as other bases.
- Use polynomial expressions to solve complex problems.
- Solve quadratic equations, including those with rational terms, by
factoring, the Quadratic Formula, by Completing the Square, and matrices.
- Graph linear functions in Cartesian Coordinates using Point Slope, Two
Point Form, Distance, Midpoint, Circles and Variations, and Piecewise Defined
Functions.
- Solve systems of equations graphically, by algebra and by matrix and solve
word problems using these ideas.
- Use quadratics and the algebra of functions to compute ratio, proportion
and variation (direct and inverse), as well as exponential, logarithmic,
composite and inverse functions.
- Use trigonometry, including right angle and arbitrary trigonometry,
Heron's Formula and Polar Coordinates to solve word problems.
- Use matrices for solving problems, including Cramer's Rule, determinants
and matrix inversion.
- Analyze arithmatic and geometric sequences and series effectively.
- Perform calculations related to permutations, combinations, and
probability.
Textbook:
Textbook:
Precalculus: A Concise Course,
Larson/Hostetler, 2007
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