**MATH 0095 - Academic Assist. Mathematics**

**Credits: **2.00

A laboratory course for students having difficulties with College Algebra. It is co-requisite and paired with MATH 1111. Two hours institutional credit.

**Lecture: **2.00

**College: **School of Arts & Sciences

**Department: **Learning Support Programs

**MATH 0098 - Learning Support Math I**

**Credits: **4.00

A program of study in which a graphing calculator will be used extensively to facilitate the learning of basic algebra skills (operations with signed numbers, simplifying constant and variable expressions, solving and graphing linear equations and inequalities). One hour of laboratory work is required. Four hours Institution Credit.

**Lecture: **4.00 **Lab: **2.00

**College: **School of Arts & Sciences

**Department: **Learning Support Programs

**Restrictions: **

May not be enrolled in one of the following Level(s):

Graduate - Semester

Specialist - Semester

May not be enrolled in one of the following Class(es):

Junior

Senior

Sophomore

**Pre-requisites:** COMPASS Algebra 00

**MATH 0099 - Learning Support Math II**

**Credits: **4.00

A program of study preparing students for success in college -level mathematics. Enrollment is by placement, by satisfactory completion of MATH 0098, or by volunteering for the course. Course content includes operation on polynomials (including factoring), solving systems of equations, and solving quadratic equations. One hours of laboratory work is required. Four hours Institutional Credit. The course may be repeated with an S (Satisfactory) grade.

**Lecture: **4.00 **Lab: **.00

**College: **School of Arts & Sciences

**Department: **Learning Support Programs

**Restrictions: **

May not be enrolled in one of the following Level(s):

Graduate - Semester

Specialist - Semester

May not be enrolled in one of the following Class(es):

Junior

Senior

Sophomore

**Pre-requisites:** ( COMPASS Algebra 26 or MATH 0098 Minimum Grade: S or DMT 095 Minimum Grade: S )

**MATH 1111 - College Algebra**

**Credits: **3.00

Both MTH 108 & 109 must be successfully completed to receive credit for MTH 110 (College Algebra). Student may satisfy College Algebra requirement by receiving credit for MTH 110 OR MTH 108/109. This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions, and their graphs, inequalities, and linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**MATH 1112 - Plane Trigonometry**

**Credits: **3.00

Plane Trigonometry. Trigonometric functions, derivation of standard formula, identities, inverse functions and equations, use of logarithmic and exponential functions, and solution of triangles. Prerequisite: MATH 1111. Offered each semester.

**Lecture: **3.00 **Lab: **.00 **Other: **.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 1111 or MTH 110 )

**MATH 1113 - Precalculus**

**Credits: **3.00

This course is designed to prepare students for calculus, physics, and related technical subjects. Topics include an intensive study of algebraic and transcendental functions accompanied by analytic geometry.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:**

**MATH 1120 - Calculus I**

**Credits: **4.00

A study of the fundamental concepts of the calculus: limits and continuity, differentiation, the mean value theorem, applications of differentiations, Riemann integration, the Fundamental Theorem of Calculus, and elementary applications of integration.

**Lecture: **4.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 1113 or MTH 113 or MATH 1113H ) or ( MTH 110 and MTH 111 )

**MATH 2204 - Elementary Statistics**

**Credits: **3.00

The study of the nature of statistics, the fundamental concepts of probability, the methods of collecting and analyzing data, and the techniques of making inferences based upon data. Technology, in the form of graphing calculators and statistical software, will be integrated in the course.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 1111 or MTH 110 ) or ( MATH 1113 or MTH 113 )

**MATH 2221 - Calculus II**

**Credits: **4.00

This is a continuation of Calculus I. It deals with further applications of one variable integration, the techniques of integration, sequences, series, indeterminant forms and improper integrals. Technology, in the form of graphing calculators and modeling software, will be integrated in the course.

**Lecture: **4.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 1120 or MTH 112 )

**MATH 2222 - Calculus III**

**Credits: **4.00

This is a continuation of Calculus II. It introduces students to the notions of vector calculus commonly used in engineering and science applications: vector and scalar functions of several variables, gradients, curl and divergence, mini-max theorems, multiple integrals, line integrals, the theorems of Green, Gauss and Stokes, and their applications. Technology in the form of graphing calculators and modeling software, will be integrated in the course.

**Lecture: **4.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** MATH 2221 or MTH 210

**MATH 2223 - Discrete Systems I**

**Credits: **3.00

A course designed to give students an early experience of the power and applicability of discrete models in the solution of problems in mathematics, the sciences, computer science and engineering. Topics include discrete models of change, linear algebra and applications, combinatorics and applicable number theory.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** MATH 2221 or MTH 210 or MATH 2222 or MTH 211

**MATH 2224 - Discrete Systems II**

**Credits: **3.00

A continuation of Discrete Systems I. Topics include graphs and algorithms, analysis of algorithms, Boolean logic, discrete stochastic models, and an applications- oriented introduction to modern algebra.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2221 or MTH 210 ) or ( MATH 2222 or MTH 211 )

**MATH 3001 - Number Theory for Teachers**

**Credits: **3.00

This course covers standard topics in elementary number theory including number bases, divisibility, Euclidean algorithm, fundamental theorem of arithmetic, and applications.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 1111 or MTH 110 ) or ( MATH 1113 or MTH 113 )

**MATH 3002 - Geometry for Teachers**

**Credits: **3.00

Euclidean and other geometric models for pre-service teachers. Fieldwork required. Permission of instructor required. Offered every Spring Semester.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 1120 or MTH 112 or MATH 1113 or MTH 110 ) or ( MTH 108 and MTH 109 )

**MATH 3311 - Advanced Statistics**

**Credits: **3.00

A continuation of Elementary Statistics. Topics include experimental design, design-related hypothesis testing, analysis of variance, correlation, regression and goodness of fit, non-parametric statistics and applications.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2204 or MTH 204 ) or ( MATH 2221 or MTH 210 )

**MATH 3313 - Differential Equations**

**Credits: **3.00

This course provides students of mathematics, science and pre-engineering with a qualitative, numeric and analytic approach to the dynamical systems commonly encountered in their disciplines.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2222 or MTH 211 ) and ( MATH 2223 or MTH 312 )

**MATH 3316 - Analysis I**

**Credits: **3.00

This course introduces students to the basic elements of mathematical analysis. Topics include the topology of Euclidean space, sequences and limits, continuity and differentiation.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2222 or MTH 211 ) and ( MATH 2223 or MTH 312 )

**MATH 3317 - Analysis II**

**Credits: **3.00

A continuation of Analysis I. Topics include the integrals of Riemann-Stieltjes and Lebesque, infinite series and products, sequences of functions, Fourier series and integrals.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** MATH 3316

**MATH 3320 - Scientific Computation**

**Credits: **3.00

An introduction to the elements of modern scientific computing, using visualization, vector-level thinking skills, numeric models, and analytic techniques.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2222 or MTH 211 ) and ( MATH 2223 or MTH 312 ) and ( CSCI 1301 or CSC 220 )

**MATH 3322 - Advanced Mathematical Modeling**

**Credits: **3.00

Teaches the art of mathematical modeling and the techniques of validation in deterministic and stochastic settings.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2222 or MTH 211 ) and ( MATH 2204 or MTH 204 ) or ( MATH 3325 or MTH 325 )

**MATH 3325 - Mathematical Statistics**

**Credits: **3.00

A course designed to give students of mathematics, computer science, the physical sciences, and pre-engineering a reasoned introduction to probability and statistics using the multivariable calculus.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2222 or MTH 211 )

**MATH 4412 - Modern Algebra I**

**Credits: **3.00

This course gives students an understanding of standard algebra structures: groups, rings, ideals and fields, and their relationship to models from number theory & geometry.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 2222 or MTH 211 ) and MATH 2224

**MATH 4413 - Modern Algebra II**

**Credits: **3.00

This is a continuation of Modern Algebra I. Topics include classification theorems for finite groups, field extensions, Galois theory and applications, algebraic coding theory.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 4412 or MTH 412 )

**MATH 4440 - Partial Differential Equations**

**Credits: **3.00

The purpose of this course is to familiarize students with the elements of partial differential equations and related aspects of applied mathematics in a modeling context. Topics include boundary value problems, Fourier and generalized Fourier series, Fourier integrals, Laplace and Fourier transforms, the heat, wave, and potential equations.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 3313 or MTH 313 )

**MATH 4442 - Complex Analysis**

**Credits: **3.00

An introduction to basic ideas concerning functions of one complex variable. Topics include analytic functions, Cauchy's integral theorem, series and products, calculus of residues, conformal mapping, asymptotic methods, and applications to heat conduction, electrostatics, aerodynamics and hydrodynamics.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 3313 or MTH 313 )

**MATH 4450 - Topology I**

**Credits: **3.00

A study of general topological spaces, continuity, compactness, connectedness, separability, and characterization of metrizability.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 3316 or MTH 314 )

**MATH 4451 - Topology II**

**Credits: **3.00

A continuation of Topology I, emphasizing the elements of geometric and algebraic topology. Topics include identification spaces, fundamental group, triangulations, surface theory, knot theory.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 4450 or MTH 450 ) and ( MATH 4412 or MTH 412 )

**MATH 4454 - Industrial Mathematics I**

**Credits: **3.00

This course introduces students to a variety of mathematical techniques used to make organizational, scheduling, and optimization decisions in research and industrial settings.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** ( MATH 3313 or MTH 313 ) and ( MATH 3325 or MTH 325 )

**MATH 4455 - Industrial Mathematics II**

**Credits: **3.00

A course that provides students with modeling and problem solving experiences that parallel applications of mathematics in industrial, and research and development settings.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** MATH 4454 and MATH 4440

**MATH 4456 - Intro to Financial Engineering**

**Credits: **3.00

This is an introduction to the mathematical models used in financial engineering, with particular emphasis on models for pricing and hedging derivative securities such as options and futures, and on models for portfolio optimization. The course examines the models of Black-Scholes, Markowitz and their recent modifications, with a variety of applications. A strong, basic knowledge of probability needed. Offered in Spring Semester of alternate years. (3-0-3)

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Pre-requisites:** MATH 3325

**MATH 4490 - History/Philosophy of Math**

**Credits: **3.00

Topics in the history of mathematics for pre-service teachers. A capstone course emphasizing key ideas in algebra, geometry, probability and statistics, and number theory, in a historical and philosophical context. Permission of instructor required. Offered every May Term.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**MATH 4499 - Sr. Honors Thesis/Mathematics**

**Credits: **3.00

An opportunity for qualified and highly motivated students in mathematics to do mentored research under the guidance of a member of the mathematics faculty.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**MATH 5000 - Algebra for Middle Grades**

**Credits: **3.00

This is the first course in the Middle Grades Mathematics Initiative. Students will become proficient in algebra content prescribed by QCC and NCTM guidelines. Appropriate technology and manipulatives will be incorporated in the course.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 5001 - Geometry for Middle Grades**

**Credits: **3.00

This is the second course in the Middle Grades Mathematics Initiative. Students will become proficient in geometry content prescribed by QCC and NCTM guidelines. Appropriate technology and manipulatives will be incorporated in the course.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 5002 - Number Theory for Mid Grades**

**Credits: **3.00

This course teaches students concepts in Number Theory and discrete probability appropriate for middle grades classroom with emphasis on problem solving, active learning, and appropriate technology, including calculators, electronic resources, and manipulatives.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

May not be enrolled in one of the following Class(es):

Graduate

**MATH 5003 - Statistics for Middle Grades**

**Credits: **3.00

MATH 5003. Statistics for Middle Grades. Introduces teachers to concepts, manipulatives, and technology appropriate for teaching probability and statistics in the middle grades classroom. Emphasizes the use and analysis of real world data.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 5511 - Advanced Statistical Methods**

**Credits: **3.00

A study of probability, probability distributions, statistical inference, linear regression and correlation, analysis of variance, nonparametric statistics and experimental design.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**Pre-requisites:** ( MATH 2204 or MTH 204 )

**MATH 5522 - Advanced Mathematical Modeling**

**Credits: **3.00

This course introduces graduate students to a variety of modeling techniques common in industry and in research and development facilities.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**Pre-requisites:** ( MATH 3313 or MTH 313 ) and ( MATH 3325 or MTH 325 )

**MATH 6618 - Adv. Scientific Computation**

**Credits: **3.00

This course is designed to give graduate students experience in using advanced numerical techniques that are a part of modern scientific computing. Topics include parallel and vector computing, discretion and large sparse systems, direct and parallel-direct methods, iterative and conjugate gradient-type methods, level set methods.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 6619 - Computational Geometry**

**Credits: **3.00

This course is designed to give graduate students a working knowledge of algorithms for solving geometric problems on a computer. Topics include polygonal triangulation and partitioning, convex hulls, Voronoi diagrams & arrangements, search and intersection algorithms, motion planning, robustness, and randomized algorithms.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 6620 - Operations Research**

**Credits: **3.00

This course is designed to give graduate students experience in using a wide variety of mathematical techniques that are part of the decision process in the operations of organized systems. Topics include linear programming, mathematical programming (networks, dynamic, integer and non-linear programming), probabilistic models and simulation.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 6640 - Partial Differential Equations**

**Credits: **3.00

This course introduces graduate students to those elements of partial differential equations that play a central role in science, geometry, analysis and computational modeling.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 6642 - Complex Analysis**

**Credits: **3.00

This course provides graduate students with an introduction to the theory of functions of one complex variable and its applications.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 6675 - Special Problems/Mathematics**

**Credits: **3.00

Individual work providing students with the opportunity to follow a specific program of study under the direction of a qualified instructor.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7708 - Materials & Methods for Math**

**Credits: **3.00

Curriculum resources and modern, effective methods of instruction for teachers, supervisors and consultants of mathematics. Special attention is paid to cooperative learning, mathematical manipulatives, calculator and computer techniques, applied mathematics, and grant proposal preparation.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7710 - Foundations of Algebra**

**Credits: **3.00

The course offers graduate students a comprehensive overview of algebraic theories and structures including number theory, theory of equations and number fields, as they relate to the teaching of secondary mathematics.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7711 - Foundations of Statistics**

**Credits: **3.00

This course is designed to give teachers of secondary mathematics a rigorous overview of probability & statistics, following AP and NCTM guidelines.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7712 - Foundations of Geometry**

**Credits: **3.00

A study of Euclidean axiomatic geometry, betweenness, congruence, parallelism, axiomatic systems, & non-Euclidean geometries.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7713 - Foundations of Analysis**

**Credits: **3.00

This course is designed to give teachers of calculus in secondary schools a rigorous overview of the subject, following AP and NCTM guidelines.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7715 - Algebraic Geometry I**

**Credits: **3.00

This course introduces students to modern computational algebraic geometry using algorithms of Buchberger and Hironaka. Topics include affine varieties, Groebner bases, elimination theory, nullstellensatz, applications to robotics and automatic geometric theorem proving.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**MATH 7716 - Algebraic Geometry II**

**Credits: **3.00

A continuation of Algebraic Geometry I. Topics include correspondence principles, invariance, dimension, projective models, and applications to computer vision.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**Pre-requisites:** ( MATH 7715 or MTH 715 )

**MATH 7790 - History/Philosophy of Math**

**Credits: **3.00

Graduate-level survey with emphasis on topical and thematic research, and their use in teaching mathematics. Permission of instructor and graduate standing required. Offered every fall semester.

**Lecture: **3.00

**College: **School of Arts & Sciences

**Department: **Mathematics Department

**Restrictions: **

May not be enrolled in one of the following Level(s):

Undergraduate - Semester

**Pre-requisites:** ( MATH 2221 or MTH 210 )