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MAT 114 Functions Study of exponential, logarithmic, and trigonometric functions. This course plus MAT 113 is equivalent to MAT 112. Prerequisite: MAT 113 or equivalent. (2 s.h.) MAT 115 Mathematical Modeling for the Liberal Arts An examination of the value of mathematics, as it is used to model issues from areas such as operations research, social choice, the humanities and the natural sciences. This course is available to transfer students who have completed 3 s.h. of their liberal arts math core requirement prior to enrolling at USF. Prerequisite: MAT111, or a math ACT sub-score of at least 19, or a score of at least 480 on the mathematics section of the SAT, or a passing grade on a screening exam designed by the USF mathematics department. The screening exam is available during a student’s first year at USF and may be attempted at most twice during that year. (1 s.h.) MAT 151 Nature of Mathematics An examination of the characteristics and value of the mathematical enterprise, especially as it relates to other areas of human inquiry. Fundamental concepts from algebra, probability, discrete mathematics and the axiomatic method are developed as a base for analytic reasoning. Modeling and abstraction are then used to address issues drawn from social choice, operations research, the humanities and the natural sciences. Throughout the course, mathematical argument and construction are studied and practiced. Students who require the technical language of college algebra or calculus should take those courses instead of, or in addition to, this course. Prerequisite: MAT 111 or a math ACT sub-score of at least 19, or a score of at least 480 on the mathematics section of the SAT, or a passing grade on a screening exam to be designed by the USF mathematics department. The testout option is available during a student's first year at USF and may be attempted at most twice during that year. (4 s.h.) MAT 201 Calculus for Applications A one semester introductory, applicationsoriented calculus course primarily intended for students of business or the social sciences. The emphases will include a more conceptual, less axiomatic, foundation of calculus. As such, it is not intended for students majoring in the mathematical sciences. The course will build upon a

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careful study of calculus applications, particularly those originating in a more complete understanding of business and economics. The course will have a “real world” orientation with less abstraction than that of traditional theory-oriented courses. The course begins by reviewing algebraic techniques and developing functions. This course should also serve as preparation for the national standardized exams required by many MBA programs. Prerequisite: MAT 112 or equivalent algebra course (no trigonometry required). (3 s.h.) MAT 202 Finite Mathematics A general course introducing such topics as sets and functions, matrix theory linear systems, linear programming and game theory. Applications are taken primarily from business settings and emphasize optimal decision strategies. Prerequisite: MAT 113 or equivalent (3 s.h.)

MAT 223 Mathematics for Elementary Teachers II As the second course in the Mathematics for Elementary Teachers sequence, this course is designed to provide elementary teachers with an introduction to the fundamental concepts of probability and statistics, measurement and geometry from an axiomatic point of view. The course is a mathematics content course with the material presented to the perspective of a future teacher. Required course for all elementary education majors. Prerequisites: MAT 222. (4 s.h.) MAT 233 Introduction to Statistics An introduction to the fundamentals of statistics with applications. Topics include frequency distributions, sampling distributions, testing hypotheses, analysis of variance, regression and correlations and nonparametric methods. Prerequisite: MAT 111 or a math ACT sub-score of at least 19, or a score of at least 480 on the mathematics section of the SAT, or a passing grade on a screening exam to be designed by the USF mathematics department. The test-out option is available during a student's first year at USF and may be attempted at most twice during that year. (3 s.h.)

MAT 204 Calculus I An introduction to the theory, techniques and applications of differential and integral calculus of functions of a single real variable, including trigonometric, logarithmic and exponential functions. Concepts are explored graphically, numerically and symbolically. Prerequisite: MAT 112 or its equivalent, such as high school precalculus with trigonometry. (4 s.h.) MAT 300 Numerical Methods Mathematical techniques most needed MAT 205 Calculus II by those engaged in computational A continuation of MAT 204, including mathematics. Topics include numerical further examination of the techniques and integration, optimization, polynomial applications of integral calculus, the study approximation, matrix inversion and of infinite series, and an introduction to approximate solutions to boundary value differential equations. Additional topics problems. Prerequisites: COM 202 and MAT may include calculus involving parametric 205 with MAT 304 recommended. (3 s.h.) equations and/or polar coordinates, Fourier series, conic sections and partial MAT 302 Probability and Statistics differentiation. Prerequisite: MAT 204. (4 An introduction at the calculus level to s.h.) discrete and continuous probability distributions, including a study of the MAT 222 Mathematics for Elementary normal distribution, the Central Limit Teachers I Theorem and its application to the statistics This course is designed to provide of sampling. Prerequisite: MAT 205. (3 s.h.) elementary teachers with an introduction to the fundamental concepts of logic, MAT 303 Foundations of Geometry numeration systems, set theory and This course begins with an introduction to arithmetic operations from an axiomatic foundational structures of mathematics, point of view. The course is a mathematics including formal logic, axiomatic rigor and content course with the material proof. With this framework in place, the presented to the perspective of a future course proceeds with a study of Euclidean teacher. Required course for all elementary geometry, hyperbolic geometry and education majors. Prerequisites: MAT 113 transformational geometry. Additional or equivalent. (4 s.h.) topics may include compass and straightedge constructions and projective geometry. Prerequisite: MAT 112 or equivalent. (3 s.h.)

undergraduate course descriptions

2015-2017 USF Academic Catalog  

2015-2017 academic catalog for the University of Sioux Falls.