 # Genesee Course Listing

## Official Course Information

 Please select a Course Section from the List below or use Search for a class by Title. Winterim 2018

### Mathematics Courses:

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MAT091 - Basic Math Skills
Credits: 4

Catalog Description: Students move through a series of content modules using a mastery learning approach, making extensive use of computer software for content delivery, practice of skills, and assessment (graded homework, quizzes, and module pre- and post-tests). Topics include operations with whole numbers, fractions, decimals, and signed numbers; ratios, rates, and proportions; percent; measurement conversions within the U. S. Customary System and within the Metric System using Unit Analysis; scientific notation; evaluating and simplifying variable expressions; solving linear equations; and some basic geometry. Prerequisite: By placement.

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MAT092 - Algebra 1
Credits: 4

Catalog Description: Students move through a series of content modules using a mastery learning approach, making extensive use of computer software for content delivery, practice of skills, and assessment (graded homework, quizzes, and module pre- and post-tests). Topics include simplifying variable expressions, solving linear equations and inequalities, graphing linear equations in two variables, solving systems of linear equations in two variables, operations with exponential pressions and polynomials, factoring polynomials, simplifying radical expressions (square roots), and solving quadratic equations. Prerequisite: MAT 091 or by placement.

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MAT102 - Algebra 2
Credits: 3

Catalog Description: Topics include solving first degree inequalities, introduction to functions, linear equations in two variables and graphing, solving systems of two or three linear equations and inequalities, brief review of polynomial operations and factoring, algebraic fractions, variation, solving rational equations and proportions, rational exponents and radical expressions, complex numbers, solving radical equations, and four methods for solving quadratic equations, with emphasis on problem solving and applications throughout the course. Not open to students with credit in MAT 136 or higher. Prerequisite: MAT 092 or by placement.

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MAT108 - Survey of Mathematics
Credits: 3

Catalog Description: A study of various topics including an introduction to estimation, algebra, geometry, consumer mathematics, probability and statistics, with an emphasis on critical thinking and interpreting results. Other topics may be covered at the discretion of the instructor. MAT108 is a common selection by Liberal Arts students with fewer than three years of high school mathematics. Either MAT108 or MAT092 can be used to satisfy the GCC math proficiency graduation requirement Either MAT108 or MAT092 can be used to satisfy the prerequisite for MAT129, Statistics. MAT108 does not satisfy the prerequisite for any other math course. Although this course can satisfy your mathematics requirement for some GCC programs and transfer to some baccalaureate institutions, speak with an academic advisor to ensure that this course meets your goals. Prerequisite: MAT091 with a grade of C or better, or by placement.

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MAT116 - Math for Elementary Teachers 1
Credits: 3

Catalog Description: Focuses on foundational concepts of number theory, arithmetic, and algebra that underlie the elementary school mathematics curriculum. Emphasizes problem solving and the historical development of numeration systems and other mathematical concepts. Prerequisite: MAT092 with a grade of C or better, or equivalent by placement.

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MAT117 - Math for Elementary Teachers 2
Credits: 3

Catalog Description: Covers fundamental concepts of probability, statistics, measurement and geometry and the historical development of Mathematics. Develops understanding of mathematical concepts that form the foundation for topics included in the elementary mathematics curriculum and further develops creative problem-solving and mathematical communication skills. Prerequisite: MAT116.

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MAT121 - Technical Math 1
Credits: 3

Catalog Description: Reviews basic algebraic operations and solutions of linear equations. Emphasizes applications of linear equations, graphing techniques, units of measurement conversions, exponents and radicals, functions, trigonometric functions, and vectors. Not open for credit to students who have credit in MAT 140 or higher. Prerequisite: MAT092 or higher or by placement.

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MAT122 - Technical Math 2
Credits: 3

Catalog Description: Emphasizes solutions to systems of linear equations, solutions and applications of quadratic equations, laws of sines and cosines, graphs of trigonometric functions, complex numbers, exponential and logarithmic functions, linear inequalities, and direct and inverse variation. Not open for credit to students who have credit in MAT 140 or higher. Prerequisite: MAT121 with a grade of C or higher.

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MAT129 - Statistics
Credits: 3

Catalog Description: Studies descriptive data with graphical and numerical techniques, binomial and normal probability distributions, estimation and sampling, hypothesis testing, and linear regression models. Emphasis is on practical applications, including using MINITAB software. Prerequisite: MAT 092 or higher or by placement

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MAT136 - Algebra 3 and Trigonometry
Credits: 3

Catalog Description: Topics include absolute value equations and inequalities; solving systems of linear equations using determinants; review of rational exponents, radical expressions and complex numbers; quadratic equations and inequalities; solving equations reducible to quadratic form; quadratic, exponential and logarithmic functions and applications; graphs of functions; algebra of functions; inverse functions; conic sections; nonlinear systems of equations and inequalities; right triangle trigonometry; trigonometric functions and the unit circle. Not open to students with credit in MAT 140 or higher. Prerequisite: MAT 102 with a grade of ‘C’ or higher or by placement.

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MAT137 - Calculus for Business
Credits: 4

Catalog Description: Covers the principal concepts of differential and integral calculus as they relate to business applications. Students will study functions (including exponential and logarithmic), limits, differentiation, and integration. Emphasis will be placed upon the use of calculus in solving problems from the fields of business & economics. Prerequisite: MAT 136 or MAT 140 with a grade of ‘C’ or higher or by placement or instructor permission.

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MAT140 - Precalculus
Credits: 4

Catalog Description: Studies polynomial, rational, exponential, logarithmic, and trigonometric functions and their inverses. Four class hours. Not open for credit to students who have credit in MAT 141 or higher. Prerequisite: MAT 136 (with a minimum grade of C) or equivalent by placement.

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MAT141 - Calculus 1
Credits: 4

Catalog Description: Studies functions of a single variable with regard to limits, continuity, differentiation, anti-differentiation, and applications of these topics. Concludes with a study of the definite integral and the fundamental theorem of calculus. Four class hours. Prerequisite: MAT 140 (with a minimum grade of C) or equivalent by placement.

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MAT142 - Calculus 2
Credits: 4

Catalog Description: Examines applications of the definite integral; analysis of the natural logarithmic, exponential, trigonometric, and hyperbolic functions; introduction to differential equations; techniques of integration; L'Hopital's Rule and indeterminate forms; improper integrals; and infinite series. Prerequisite: MAT 141 with a grade of ‘C’ or higher or by placement.

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MAT245 - Calculus 3
Credits: 4

Catalog Description: Covers infinite series, curves in parametric and polar forms, vectors, partial differentiation, and multiple integrals. Applications of these topics focus on analysis of functions and surfaces in 3 dimensional space. Fall only. Prerequisite: MAT 142 with a grade of ‘C’ or higher or by placement. May be taken concurrently with MAT 142 with instructor permission.

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MAT246 - Linear Algebra
Credits: 4

Catalog Description: Covers systems of linear equations and matrices, determinants, vectors and vector spaces, linear transformations, eigenvectors and eigenvalues, linear transformations, and numerical methods. Four class hours. Prerequisite: MAT142 with a grade of C or better, or permission of instructor.

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MAT247 - Discrete Math
Credits: 3

Catalog Description: Provides an introduction to discrete mathematical structures and their applications to computer programming. Topics include logic of compound and quantified statements, elementary number theory, direct & indirect proofs, mathematical induction, sets, discrete probability & counting, functions, and an introduction to graph theory. Spring only. Prerequisite: MAT 140 with a grade of ‘C’ or higher or by placement.

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MAT255 - Differential Equations
Credits: 4

Catalog Description: Covers solutions of first order differential equations, Euler's Method, linear differential equations with constant coefficients, non-linear equations, LaPlace transforms, numerical solutions, and series solutions. Applications focus on modeling with first- and second-order linear equations. CAS Software (such as Derive or Maple) will be used for solving a variety of application problems. Spring only. Prerequisite: MAT 142 with a grade of ‘C’ or higher or by placement.

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