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Courses Offered
Mathematics (MAT)

Note: 
The schedule of offerings, as stated for the courses below, is subject to change at any time. Students should confirm the schedule with their advisors.

MAT 111 - Elementary Algebra (3 s.h.)
This course is for students wishing to review the fundamental concepts of elementary algebra before taking their math liveral arts core course. 

MAT 112 - College Algebra and Trigonometry (4 s.h.)
Study of algebra, including polynomial and rational functions, trigonometry, exponentials, and logarithms.  This course is foundational to many areas of study including the natural sciences, business, and various aspects of the social sciences. 
Prerequisite: MAT 111 or a math ACT subscore 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.

MAT 113 - College Algebra (2 s.h.)
Study of algebra including polynomial and rational functions. This course plus MAT 114 is equivalent to MAT 112. 
Prerequisite: MAT 111 or a math ACT subscore 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.
MAT 114 - Functions (2 s.h.)
Study of exponential, logarithmic and trigonometric functions. This course plus MAT 113 is equivalent to MAT 112. 
Prerequisite: MAT 113 or equivalent. 

MAT 151 - Nature of Mathematics (4 s.h.)
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.

This course is well suited for students interested in studying math in this rich context. 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 subscore 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.

MAT 201 - Calculus for Applications (3 s.h.)
A one semester introductory, applications-oriented 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 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 would also serve as preparation for the national standardized exams required by many MBA programs.
 
Prerequisite: MAT 112 or equivalent algebra course (no trigonometry required).

MAT 202 - Finite Mathematics (3 s.h.)
A general course introducing such topics as sets and functions, matrix theory, linear systems, linear programming and probability theory. Applications are taken from business, biology, and the behavioral sciences.
Prerequisite: MAT 112 or equivalent.

MAT 204 - Calculus I (4 s.h.)
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.  Conceptws are explored graphically, numberically and symbolically.
Prerequisite: MAT 112 or its equivalent, such as high school precalculus with trigonometry.

MAT 205 - Calculus II (4 s.h.)
A continuation of MAT 204, including integration techniques and applications, the calculus of polar and parametric equations, partial derivatives, 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 differentiation. 
Prerequisite: MAT 204.

MAT 222 - Mathematics for Elementary Teachers I (4 s.h.)
This course is designed to provide elementary teachers with an introduction to the fundamental concepts of logic, numeration systems, set theory and arithmetic operations 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 113 or higher.

MAT 223 - Mathematics for Elementary Teachers II 
(4 s.h.)
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 or higher.
MAT 233 - Introduction to Statistics (3 s.h.)
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. 
Prerequisites:  MAT 111 or a math ACT subscore 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.
MAT 300 - Numerical Methods (3 s.h.)
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.

MAT 302 - Probability and Statistics (3 s.h.)
An introduction at the calculus level to discrete and continuous probability distributions, including a study of the normal distribution, the Central Limit Theorem, and its application to the statistics of sampling. 
Prerequisite: MAT 205. (3 s.h.)

MAT 303 - Foundations of Geometry (3 s.h.)
This course begins with an introduction to foundational structures of mathematics, including formal logic, axiomatic rigor and proof.  With this framework in place, the course proceeds with a study of Euclidean geometry, hyperbolic geometry and transformational geometry.  Additional topics may include companss and straightedge constructions and projective geometry.
Prerequisite: MAT 112 or equivalent.

MAT 304 - Linear Algebra (3 s.h.)
An introduction to vector spaces, linear transformations and matrices with applications to each. 
Prerequisite: MAT 204 or consent of the instructor.

MAT 305 - Abstract Algebra (3 s.h.)
An introduction to abstract mathematical systems, including groups, rings and fields. 
Prerequisite: MAT 204 or consent of the instructor.

MAT 306 - Discrete and Algorithmic Mathematics
(3 s.h.)

An introduction to the mathematical basis of computer science. Includes an introduction to logical reasoning, counting and finite probability, the rudiments of sets, functions, relations, recurrence relations and difference equations, graph theory, finite state machines, formal languages and Boolean algebra.
Prerequisite: MAT 204 and at least a C in COM 201.

MAT 310 - Calculus III
(4 s.h.)
An introduction to multivariable and vector calculus with applications.
Prerequisite: MAT 205.

MAT 311 - Differential Equations (3 s.h.)
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 and partial differential equations are introduced.
Prerequisite: MAT 205.

MAT 320
- Introduction to Real Analysis (3 s.h.)
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 consent of the instructor.

MAT 390
- Special Topics in Mathematics (1-4 s.h.)
Topics in mathematics taught at an intermediate level. Past topics have included philosophy o fmathematics, complex analysis and advanced engineering math.
Prerequisite: Varies.

MAT 406
- Teaching High School Mathematics (3 s.h.)
This course explores the professional landscape and contemporary pedagogical practices pertinent to high school mathematics education. Students develop and 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. 

MAT 490 - Senior Seminar (1 s.h.)
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.

MAT 491 - Independent Study (1-3 s.h.)
Independent Study - Individual research.
Prerequisite: Consent of the instructor.