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# MT 125 - College Mathematics

Credit Hours: 4

The first course in a two-semester sequence of college algebra and trigonometry. The sequence is preparatory for an introductory or survey level of calculus. Basic algebra skills are reviewed and extended. Functions, in general, and their inverses are studied along with the properties, graphs and transformations of linear, quadratic, absolute value, radical, rational, logarithmic and exponential functions. Equations of the above functions as well as linear systems of equations and linear and absolute value inequalities are solved. Related application problems are incorporated throughout.

Fulfills SUNY General Education – Mathematics.

Course Outcomes
Upon completion of this course, the student will be able to:

• apply the concepts of the real number system and the properties of real numbers;
• simplify and perform the fundamental operations (addition, subtraction, multiplication, and division) on real numbers, polynomials, and radical expressions; and simplify complex fractions;
• solve linear, quadratic, (inc. imaginary roots), absolute value, radical, exponential and logarithmic equations;
• solve linear and absolute value inequalities;
• interpret, set up and solve problems involving direct, inverse and joint variation;
• define function and determine whether a given relation is a function;
• evaluate a given function, use function notation, perform operations on functions, and the composition of functions;
• ascertain when a function has an inverse and be able to compute the inverse when it exists;
• graph, interpret the graph of functions and transformation of functions-including linear, absolute value, quadratic, cubic, radical, simple rational, exponential and logarithmic;
• solve systems of equations in two (2) and three (3) variables;
• interpret and apply the properties of exponential and logarithmic functions; and
• solve word problems that involve the use of linear, quadratic, exponential and logarithmic functions and systems of linear equations.

Technology objectives:
Students will be able to demonstrate proficiency with a scientific calculator in performing the following skills:

• evaluating functions, various roots and exponents;
• find Log x, ln  x  and ex; and
• solve exponential and logarithmic equations.

Prerequisites: MT 013 or waived from placement test or placed into degree credit math.
F/S (C, N, S)