MT 180 - Pre-Calculus Mathematics Credit Hours: 4
Solutions to equations and inequalities, behavior of polynomial, rational, transcendental, and other functions, sequences and series, two and three-dimensional coordinate systems, vectors, and matrices. Topics in this course are essential for students who will enroll in the MT 181-182-283 sequence. Graphing calculators will be used throughout the course. No mathematics elective credit will be given to Liberal Arts - Mathematics majors if taken after passing MT 181.
Course Outcomes Upon completion of this course, the student will be able to:
- express solutions to equations and inequalities in set and interval notation (union, intersection, and complements);
- sketch and analyze the basic forms, inverses, and the behavior when transformed by translation reflection and scaling of the following functions: linear, exponential, logarithmic, polynomial, rational, radical piecewise-defined and absolute value;
- solve basic equations and inequalities and identify the roots related to the functions in the second objective;
- rewrite rational expressions as the sum of partial fractions;
- sketch and analyze the graphs, inverses, and transformations of exponential, logarithmic, and trigonometric functions;
- solve more advanced equations related to the exponential, logarithmic, and trigonometric functions;
- identify arithmetic and geometric sequences and series;
- determine convergence or divergence of Geometric series;
- compute sums for finite and infinite convergent series;
- in 2-space, convert between rectangular and polar coordinates;
- be familiar with coordinates in 3-space;
- graph, solve, and convert parametric equations;
- solve vector problems;
- perform vector operations including dot product and projections; and
- perform elementary row operations on matrices and solve systems of equations using matrices.
Technology Objectives:
Students will be able to demonstrate proficiency with a graphing calculator in performing the following skills: changing modes, point plotting, evaluating a function, graphing algebraic and transcendental functions, finding roots of a function, points of intersection, maximum and minimum, solving inequalities and equations, graphing equations which are not functions, matrices, system of inequalities.
Prerequisites: MT 126 or waived from placement test or placed into degree credit math. F/S (C, N, S)
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