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Course Criteria
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3.00 Credits
Sampling theory, organization and presentation of data, measures of central tendency, variance, standard deviation, exploratory data analysis, correlation and regression, normal distributions, Student’s t-distributions, binomial distributions, statistical inference, hypothesis testing, confidence intervals, use of a statistical software package. Prerequisite- Corequisite Prerequisite: MAT 096 Elementary Algebra and Trigonometry or equivalent.
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4.00 Credits
Designed for students in the Engineering Technologies only, the course covers algebra and trigonometry emphasizing computational skills and graphing using application problems from technology fields. Topics include: function definition, graphs, exponents, logarithms, trigonometric identities, complex numbers and vectors. Prerequisite- Corequisite Prerequisite: MAT 096 Elementary Algebra and Trigonometry or equivalent.
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4.00 Credits
Rational exponents; radicals; polynomial long division; rational expressions; solving quadratic equations and inequalities; polynomial functions; absolute value equations and inequalities; complex numbers; operations of functions; inverse functions; properties of exponential and logarithmic functions; trigonometric functions; reference angles; radian measure; graphs of sine, cosine, and tangent; basic trigonometric identities. Prerequisite- Corequisite Prerequisite: MAT 096 Elementary Algebra and Trigonometry or equivalent.
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3.00 Credits
Review of analytic geometry of lines and parabolas; functions, and their graphs; limits and continuity; differentiation rules and applications; integration techniques and applications; exponential and logarithmic functions and applications. Recommended for Social Science, Health Science and Business students. Not for Mathematics majors or Science majors in the A.S. Degree program. Prerequisite- Corequisite Prerequisite: MAT 136 Intermediate Algebra and Trigonometry or equivalent.
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4.00 Credits
This first course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics include: operations in the real number system, expressions and functions, first-degree equations, properties of lines, systems of linear equations, trigonometric functions, geometry (perimeters, areas, volumes of common figures), polynomials, exponents, algebraic products and factoring, algebraic fractions and operations, rational expressions, radical expressions, quadratic equations, and graphs of functions. Prerequisite- Corequisite Prerequisite: MAT 096 Elementary Algebra and Trigonometry or equivalent.
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4.00 Credits
This is the second course in a two semester sequence of intermediate algebra and trigonometry with technical applications. Topics include operations with exponents and radicals, exponential and logarithmic functions and equations, trig functions of any angle, radians, sinusoidal functions and graphing, vectors, complex numbers and their applications, oblique triangles, inequalities, introduction to statistics and an intuitive approach to calculus. The graphing calculator, a laptop computer, and umbrella competencies will be integrated throughout the course. Prerequisite- Corequisite Prerequisite: MAT 148 Applied Technical Mathematics I or equivalent.
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4.00 Credits
Graphs of rational functions, asymptotes, exponential and logarithmic equations, conic sections, matrix arithmetic and matrix solutions to systems of equations, determinants, trigonometric identities and equations, Law of Sines, Law of Cosines, vectors, polar graphs, parametric graphs, polar form of complex numbers, powers and roots of complex numbers, limits of functions using tables. Prerequisite- Corequisite Prerequisite: MAT 136 College Algebra and Trigonometry or equivalent.
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4.00 Credits
Designed for students in the Engineering Technologies only, this course covers the mechanics of calculus using application problems from technology fields. Topics include: equations of tangent lines; limits; differentiation and integration of algebraic, logarithmic, exponential, and trigonometric functions; product rule, quotient rule, and chain rule; implicit differentiation; related rates; maxima and minima; differentials; the definite integral and applications to finding area, center of gravity, volume of revolution and work done; numerical integration. Prerequisite- Corequisite Prerequisite: MAT 130 Applied Algebra and Trigonometry or equivalent
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4.00 Credits
A university parallel calculus course covering functions, limits and continuity. Differentiation and integration of polynomial, rational, trigonometric, logarithmic, exponential functions using computational, intuitive and technology assisted methods. Applications including curve sketching, rectilinear motion, related rates, maxima and minima. Summation, integration and the Fundamental Theorem of Calculus, and applications of the definite integral. Emphasis will be placed on analyzing problems using technology assisted methods. NOTE: Students may not use more than one of the following to meet graduation requirements: MAT 146, MAT 160, MAT 181. Prerequisite- Corequisite Prerequisite: MAT 156 Algebra & Trigonometry for Calculus or equivalent
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4.00 Credits
Exponential and logarithmic functions from an integral viewpoint, the calculus of inverse functions. Techniques of integration including integration by parts, partial fractions and trigonometric substitution. Improper integrals. Sequences, detecting convergence, and L’Hospital’s rule. Infinite series, tests for convergence, power series, Maclaurin series and Taylor series. Polar curves, parametric equations and conics in calculus. Prerequisite- Corequisite Prerequisite: MAT 181 Calculus I.
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