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.)
be attempted at most twice during that calculus with applications. Prerequisite: year. (3 s.h.) MAT 205. (4 s.h.) MAT 300 Numerical Methods Mathematical techniques most needed by those engaged in computational mathematics. Topics include numerical integration, optimization, polynomial approximation, matrix inversion and approximate solutions to boundary value problems. Prerequisites: COM 201 and MAT 204 with COM 202 and COM/MAT 306 recommended. (3 s.h.)
MAT 205 Calculus II A continuation of MAT 204, including further examination of the techniques and applications of integral calculus, the study of infinite series, and an introduction to differential equations. Additional topics may include calculus involving parametric 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 discrete and continuous probability s.h.) 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 topics may include compass and or equivalent. (4 s.h.) straightedge constructions and projective MAT 223 Mathematics for Elementary geometry. Prerequisite: MAT 112 or Teachers II equivalent. (3 s.h.) As the second course in the Mathematics for Elementary Teachers sequence, this MAT 304 Linear Algebra course is designed to provide elementary An introduction to vector spaces, linear teachers with an introduction to the transformations and matrices with fundamental concepts of probability and applications to each. Prerequisite: MAT 204 statistics, measurement and geometry or instructor approval. (3 s.h.) from an axiomatic point of view. The MAT 305 Abstract Algebra course is a mathematics content course An introduction to abstract mathematical with the material presented to the systems, including groups, rings and perspective of a future teacher. Required fields. Prerequisite: MAT 204 or instructor course for all elementary education majors. approval. (3 s.h.) Prerequisites: MAT 222. (4 s.h.) MAT 306 Discrete and Algorithmic MAT 233 Introduction to Statistics Mathematics An introduction to the fundamentals An introduction to the mathematical of statistics with applications. Topics basis of computer science. Includes an include frequency distributions, sampling introduction to logical reasoning, counting distributions, testing hypotheses, analysis and finite probability, the rudiments of sets, of variance, regression and correlations functions, relations, recurrence relations and nonparametric methods. Prerequisite: and difference equations, graph theory, MAT 111 or a math ACT sub-score of finite state machines, formal languages, at least 19, or a score of at least 480 and Boolean algebra. Prerequisite: MAT 204 on the mathematics section of the SAT, and at least a "C" in COM 201. (3 s.h.) or a passing grade on a screening exam to be designed by the USF mathematics MAT 310 Calculus III department. The test-out option is available An introduction to multivariable and vector during a student's first year at USF and may
undergraduate course descriptions
MAT 311 Differential Equations This course introduces differential equations and analytical, numerical and graphical techniques for the analysis of their solutions. First- and second-order differential equations, linear systems and Laplace transforms are studied. Applications are selected from areas such as biology, chemistry, economics, ecology and physics. Nonlinear systems or partial differential equations are introduced. Prerequisite: MAT 205. (3 s.h.) MAT 320 Introduction to Real Analysis Students encounter the theory of calculus and develop tools for communicating mathematical ideas with technical accuracy and sophistication. Topics include limits, continuity, uniform continuity, derivatives and integrals, sequences and series of numbers and functions, convergence and uniform convergence. Prerequisite: MAT 205 or instructor approval. (3 s.h.) MAT 390 Special Topics in Mathematics Topics in mathematics taught at an intermediate level. Past topics have included philosophy of mathematics, complex analysis and advanced engineering math. Prerequisite varies. (1-4 s.h.) MAT 406 Teaching High School Mathematics This course explores the professional landscape and contemporary pedagogical practices pertinent to high school mathematics education. Students develop an understanding of the NCTM Standards and other professional issues and resources and cultivate facility with graphing calculators, collaborative learning, assessment vehicles and other pedagogical tools. (3 s.h.) MAT 490 Senior Seminar A capstone experience drawing on skills and understanding developed throughout the undergraduate program. Significant attention is given to weaving the various strands of the programs into a coherent whole, as well as refining writing and presentation skills in forms appropriate to the discipline. Prerequisite: At least 9 s.h. of 300-level coursework in mathematics or computer science. (1 s.h.)
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