#### MAT-105 *Algebra*3
credits

**Prerequisites:**High school Algebra 2 or equivalent or placement.

Intensive study of algebra, graphs and functions. The emphasis will be on gaining college level proficiency in algebra and understanding the graphs and properties of linear and polynomial functions. Topics include solving equations, linear equations, inequalities and systems of equations. This class is intended to prepare students for MAT-111, MAT-112, MAT-123.1, and MAT-221.

#### MAT-111 *Contemporary Mathematics*3
credits

**Prerequisites:**MAT-105 or equivalent course with minimum grade of C or placement.

A course designed to explore some of the great ideas in mathematics, and to discover the power of mathematical thinking in everyday life. Topics include counting techniques, infinity, geometry, shape and space, chaos and fractals, and decision science.

#### MAT-125 *Data Analysis and Statistics*3
credits

**Prerequisites:**Meet the critieria of the Math placement guide

An applications-oriented approach to data analysis and statistics. Topics may include descriptive statistics, probability and probability distributions, confidence intervals, hypothesis testing, and regression. The course will also cover linear inequalities and interpreting functions with emphasis on their graphs. Applications in business, economics, natural sciences and the social sciences. Students who have received credit for a Calculus course or AP Statistics may not take this course for credit.

#### MAT-150 *Applied Calculus: A Modeling Approach*4
credits

**Prerequisites:**Meet the critieria of the Math placement guide

An introductory course in differential and integral calculus, useful for work in the natural sciences and the social sciences, with a strong emphasis on developing scientific computing and mathematical modeling skills. Topics may include functions of one or more variables, differentiation, integration, and applications, including an early exposure to differential equations and initial value problems, some introductory vector analysis and linear algebra, and techniques of estimation. This course is designed to be suitable both for students with no prior experience of calculus and for students with some AP calculus experience.

#### MAT-151 *Calculus I*4
credits

**Prerequisites:**MAT-149 or equivalent course with a minimum grade of C.

A study of differential and integral calculus of real functions of one real variable. Topics include limits and continuity, differentiation, the chain rule, the mean-value theorem, the fundamental theorem of calculus, curve sketching, integration by substitution, introductory differential equations, and applications of the derivative and integral.

#### MAT-152 *Calculus II*4
credits

**Prerequisites:**MAT-151 or equivalent course with a minimum grade of C.

MAT-152 is a continuation of MAT-151. A further study of differential and integral calculus of real functions of one real variable. Topics include further techniques of integration, applications of the integral (volume, arc length, work), and sequences and series.

#### MAT-199 *Math & Physics Colloquium*.5
credits

A series of talks on topics related to mathematics and the physical sciences, intended to expose students to opportunities available in these fields. Topics may include current research projects, summer internship reports, and career development. May be repeated for credit.

#### MAT-212 *Advanced Statistical Methods*3
credits

**Prerequisites:**MAT-112 or MAT-123.1 or MAT-149 or MAT-151 or MAT-152 or MAT-251 or equivalent course. The prerequisite course must be passed with a minimum grade of C.

Introduction to statistical methods for a mathematics or science major. Topics covered include analysis of variance, multiple regression and analysis, chi square and time series. A statistical software package will be used. Students who have taken calculus should take this course rather than MAT-112.

#### MAT-221 *Mathematics for Elementary Teachers I*4
credits

**Prerequisites:**MAT-105 or equivalent course with a minimum grade of C.

Topics include number systems, problem solving, sets, logic and properties of whole numbers and rational numbers. The emphasis is on mathematics taught in the elementary school classroom, using a variety of teaching techniques, methods, and hands-on materials including manipulatives and technology.

#### MAT-222 *Mathematics for Elementary Teachers II*4
credits

**Prerequisites:**MAT-105 or MAT-221 or equivalent course with a minimum grade of C.

Topics include properties of real numbers, descriptive statistics and geometry. The emphasis is on mathematics taught in the elementary school classroom, using a variety of teaching techniques, methods, and hands-on materials including manipulatives and technology.

#### MAT-251 *Calculus III*4
credits

**Prerequisites:**MAT-152 or equivalent course with a minimum grade of C.

A continuation of MAT-152. A study of real functions of several real variables. Topics include differentiability and continuity, differential geometry, extrema, Lagrange multipliers, multiple integration, line and surface integrals, and the theorems of Green, Gauss and Stokes.

#### MAT-252 *Discrete Mathematics*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

Systems of linear equations, matrix operations, combinatorics, graph theory. Offered Spring term of odd numbered years.

#### MAT-294 *Independent Study*1
- 3
credits

**Prerequisites:**Instructor permission

Independent study of selected areas of mathematics not available in the regular curriculum. See independent study guidelines.

#### MAT-299T.10 *Introduction to Proof: Number Theory*1
credit

**Prerequisites:**MAT-151 or higher with a minimum grade of C.

Methods of mathematical proof will be introduced using concepts from number theory. Topics may include: axioms for the integers, Euclidean algorithm, Diophantine equations, Fermat's Little Theorem, unique factorization, and primality testing.

#### MAT-299T.15 *Introduction to Proof: Combinatorics*1
credit

**Prerequisites:**MAT-151 or higher with a minimum grade of C

Methods of mathematical proof will be introduced using concepts from combinatorics. Topics may include: permutations and combinations, finite mathematical structures, inclusion-exclusion principle and elements of the theory of graphs.

#### MAT-299T.20 *Introduction to Proof: Sets and Functions*1
credit

**Prerequisites:**MAT-151 or higher with a minimum grade of C.

Methods of mathematical proof will be introduced using concepts from sets and functions. Topics may include: the basics of set theory including equivalence relations, cardinality (including the notions of countability and uncountability), and topics covering surjective, injective, bijective, and inverse functions.

#### MAT-299T.25 *Introduction to Proof: Logic*1
credit

**Prerequisites:**MAT-151 or higher with a minimum grade of C.

Methods of mathematical proof will be introduced using concepts from symbolic logic. Topics may include: an introduction to logical implication, quantifiers, contrapositive, and logical equivalence.

#### MAT-311 *Probability & Mathematical Statistics I*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

A study of finite sample spaces, conditional probability and independence, functions of random variables, random variables of one or more dimensions, discrete random variables, continuous random variables, moment generating functions, sampling distribution, estimation and testing of hypotheses.

#### MAT-312 *Probability & Mathematical Statistics II*3
credits

**Prerequisites:**MAT-311 with a minimum grade of C.

A continuation of MAT-311. A study of finite sample spaces, conditional probability and independence, functions of random variables, random variables of one or more dimensions, discrete random variables, continuous random variables, moment generating functions, sampling distribution, estimation and testing of hypotheses.

#### MAT-352 *Differential Equations*3
credits

**Prerequisites:**MAT-251 or equivalent course with a minimum grade of C.

A study of the solution and applications of ordinary differential equations including systems of equations using matrix algebra.

#### MAT-361 *Linear Algebra*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

A study of general vector spaces, linear transformations, eigenvalues and eigenvectors.

#### MAT-370 *Geometry*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

A study of Euclidean geometry and the development of non-Euclidean geometry, one of the most significant occurrences in the history of mathematics.

#### MAT-372 *History of Mathematics*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

A historical survey of the ideas, tools, and symbols of mathematics and the people who developed them. For upper-division students who are planning to teach or otherwise pursue mathematics as a profession.

#### MAT-431 *Complex Variables*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

A study of the calculus of functions of a complex variable. Topics include elementary functions, series representation, analytic functions, complex integration and conformal mappings.

#### MAT-441 *Topology*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

An introduction to the techniques and theorems of point-set topology and metric spaces. Topics include: cardinality, separation axioms, compactness, connectedness, continuity and finite products.

#### MAT-451 *Real Analysis*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

A study of the basic concepts of real analysis. Topics include limits, sequences, series, continuity, differentiation and integration.

#### MAT-461 *Algebraic Structures*3
credits

**Prerequisites:**MAT-299T with a minimum grade of C.

An introduction to the study of abstract algebra. Topics will be primarily from the theory of groups and rings.

#### MAT-494 *Independent Study*1
- 3
credits

**Prerequisites:**Instructor permission

Research studies for qualified mathematics majors. See independent study guidelines.

#### MAT-497 *Internship*1
- 3
credits

**Prerequisites:**Instructor permission

Individually arranged programs of work and study with the department, academic institutions, private industries, or government agencies.

#### MAT-498 *Upper-Division Seminar*1
- 3
credits

**Prerequisites:**Junior or Senior standing with major in mathematics.

Study of topics in mathematics not covered in previous mathematics courses. May be repeated for credit.