Mathematical Sciences

All courses, arranged by program, are listed in the catalog. Courses designated as “active” have been offered in the past three years. Courses designated as “inactive” have not been offered in the past three years and indicate the semester in which the course was last offered. If you cannot locate a specific course, try our advanced search link. Current class schedules, with posted days and times, may be found on the Registrar's Office website or by logging directly into iSiS.

92.128SI Calculus IA Supplemental Instruction Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 38061
Status Active

Taken simultaneously with 92.128, this 1-credit course offers students retaking 92.128 supplemental instructions to foster a greater opportunity for successful completion of Calculus IA. The course credit cannot be used to satisfy the credits required for graduation, but may be used to satisfy credits required for full time student status.

92.129SI Calculus IB Supplemental Instruction Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 38196
Status Active

92.122SI Management Calculus Supplemental Instruction Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 36827
Status Active

Taken simultaneously with 92.122, this 1-credit course offers students, who are either retaking 92.122 or have completed 92.121 with a D or D+ grade, supplemental instructions to foster a greater opportunity for successful completion of Management Calculus. The course credit cannot be used to satisfy the credits required for graduation, but may be used to satisfy credits required for full time student status.

Prerequisites: Co-Req: 92.122 Management Calculus.

92.121SI Management Pre-Calculus Supplemental Instruction Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 36826
Status Active

Taken simultaneously with 92.121, this 1-credit course offers students retaking 92.121 supplemental instructions to foster a greater opportunity for successful completion of Management Precalculus. The course credit cannot be used to satisfy the credits required for graduation, but may be used to satisfy credits required for full time student status.

Prerequisites: Co-Req: 92.121 Management Pre-Calculus

92.111SI SI for Quantitative Reasoning & Introduction to Statistics Credits: 2

Course Details
Min Credits 2
Max Credits 2
Course ID 8240
Status Active

This course provides supplemental instruction in mathematics to students whose Elementary Algebra Accuplacer exam scores indicate the need for such instruction. The credits in this course can not be used to satisfy the credits required for graduation, but may be used to satisfy the credits required for full time student status.

Prerequisites: Co-Req: 92.111 Quantitative Reasoning.

92.283SI SI for Quantitative Reasoning & Introduction to Statistics Credits: 2

Course Details
Min Credits 2
Max Credits 2
Course ID 8240
Status Active

This course provides supplemental instruction in mathematics to students whose Elementary Algebra Accuplacer exam scores indicate the need for such instruction. The credits in this course can not be used to satisfy the credits required for graduation, but may be used to satisfy the credits required for full time student status.

Prerequisites: Co-Req: 92.283 Intro to Statistics.

92.021 Pre College Mathematics Laboratory (Last Term 1992 Fall) Credits: 0

Course Details
Min Credits 0
Max Credits 0
Course ID 8238
Status Inactive

92.107 Elementary Math for Teaching: Numbers and Operations Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 37557
Status Active

The Number and Operations course for elementary and middle school teachers examines the three main categories in the Number and Operations strand of Principles and Standards of School Mathematics (NCTM) -- Understanding numbers, representations, relationships, and number systems; the meanings of operations and relationships among those operations; and reasonable estimation and fluent computation. Not for Science / Engineering majors.

92.110 College Algebra (Last Term 2000 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8241
Status Inactive

A review of algebra with the goal of enhancing the student's understanding of basic mathematics. This course lays the groundwork for further courses such as Mathematical Perspectives and Introduction to Statistics. For liberal arts majors only.

92.111 Quantitative Reasoning Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8242
Status Active

An introduction to the mathematics concepts and skills important in modern society, even for non-technical pursuits. The course will emphasize conceptual understanding as well as a facility in performing elementary computations. Topics to be examined will include types of reasoning, problem-solving methods, techniques of estimation, algebraic essentials, and the nature of probability and statistics. No credit in Science or Engineering.

92.113 Concepts in Algebra (Last Term 1988 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8243
Status Inactive

An intensive one semester course for students planning to take calculus or statistics courses who require additional preparation. Topics taken from algebra, trigonometry, and plane analytic geometry. A student may not take both 92.113 and 92.121. No credit toward a degree in science or engineering.

92.115 College Trigonometry (Last Term 2000 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8244
Status Inactive

Angles and their measure, the trigonometric functions, solving triangles, law of sines, law of cosines, circular functions and their graphs, and trigonometric identities. No credit toward a degree in science or engineering.

Prerequisites: Pre-Req: 92.121 Management Precalculus or 92.128 Calculus IA, or a grade of CR in NC.MGTPRE or NC.MGTCAL.

92.121 Management Precalculus Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8245
Status Active

Review of algebra: operations on the real numbers, factoring, radical notation, and rational exponents. Linear and quadratic equations, rational expressions. Graphs of functions, straight lines, parabolas, exponential and log functions, systems of equations, and linear mathematical models. Prerequisites: No credit for math/science/engineering majors.

92.122 Management Calculus Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8246
Status Active

Differential calculus: limits, continuity, derivatives, differentials, higher-order derivatives, implicit differentiation, maxima and minima of functions, and applications of derivatives to business and economics. Integrals and Applications to business. No credit in Science or Engineering

Prerequisites: Pre-Req: 92.121 Management Precalculus or 92.128 Calculus IA, or a grade of CR in NC.MGTPRE or NC.MGTCAL.

92.123 Precalculus Mathematics II Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8247
Status Active

Reviews angles and their measure, the trigonometric functions, solving triangles, law of sines, law of cosines, circular functions and their graphs, vectors and trigonometric identities. Not for Science / Engineering majors.

Prerequisites: Pre-Req: 92.121 Management Precalculus or 92.128 Calculus IA, or a grade of CR in NC.MGTPRE or NC.MGTCAL.

92.124 Precalculus for Science and Engineering (Last Term 2003 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8248
Status Inactive

Reviews some high school mathematics for prospective calculus students. The following topics are included: fractions, exponents and radicals, relations, functions, and graphs; exponential and and logarithmic functions; trigonometry and the trigonometric functions; imaginary and complex numbers; polynomials and rational functions; the conic sections. Successful completion of this course with a grade of C or better will give students credit for 92.121 and 92.123.

92.125 Calculus A Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8249
Status Active

Serves as a first course in calculus and provides a brief review of analytic geometry and trigonometric functions. The course progresses to the study of inverse functions, limits, continuity, derivatives, rules for differentiation of algebraic and transcendental functions, chain rule, implicit differentiation, linear approximation, differentials, and maximum and minimum values.

Prerequisites: Pre-Req: 92.123 Precalculus Math II.

92.126 Calculus B Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8250
Status Active

Serves as a continuation of 92.125. The course covers L�Hopital�s Rule, optimization problems, Newton�s method, sigma notation, integration, area between curves, volume, arc length, surface area, integration by parts, trigonometric substitution, partial fraction decomposition, and improper integrals.

Prerequisites: Pre-Req: 92.125 Calculus A.

92.127 Preparation for Calculus Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8251
Status Active

A review of precalculus (algebra and trigonometry) together with development of problem solving skills. No credit for math/science/engineering majors.

92.128 Calculus IA Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8252
Status Active

Provides a review of pre-calculus algebra and trigonometry integrated with the first half of Calculus I: limits, continuity, derivatives, basic derivative formulas, chain rule, implicit differentiation. For math/science/engineering majors, only two credits of this course may be applied toward a degree.

92.129 Calculus IB Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 35267
Status Active

Provides a review of pre-calculus algebra and trigonometry integrated with the second half of Calculus I: L'Hospital's Rule, optimization problems, curve sketching, Newton's Method, antiderivatives. For math/science/engineering majors, only two credits of this course may be applied toward a degree. For pre-requisites, completion of this course is equivalent to 92.131 Calculus I.

Prerequisites: Pre-Req: 92.128 Calculus IA, or a grade of CR in NC.CALC1A.

92.131 Calculus I Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8254
Status Active

Serves as a first course in calculus. Functions, limits, continuity, derivatives, rules for differentiation of algebraic and transcendental function; chain rule, implicit differentiation, related rate problems, max/min problems, and curve sketching. Integrals and areas.

92.132 Calculus II Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8255
Status Active

Serves as a continuation of Calculus I. Volume, arc length, surface area, pressure and force. Differentiation and integration of trigonometric, inverse trigonometric, exponential, logarithmic, and hyperbolic functions. Improper integration, infinite series, Taylor and MacLauren series.

Prerequisites: Pre-Req: 92.131 Calculus I with a 'C' or better, or a grade of CR in NC.CALC1.

92.133 Honors Calculus I (Last Term 1990 Fall) Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8256
Status Inactive

92.138 Calculus for the Life Sciences I Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 38099
Status Active

This is a single variable calculus course with applications to the life sciences. Review of basic algebra, functions and graphs. The Derivative: Basic definition, formulas and methods. Applications of differentiation, including curve sketching and maximum-minimum problems. Study of exponential and logarithmic functions motivated by growth, decay and logistic modes. Introduction to integration, techniques, applications and the fundamental theorem. Approximation methods.

Prerequisites: Pre-Req: Biology majors

92.139 Calculus for the Life Sciences II Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 38100
Status Active

This course is a continuation of 92.138. Review of integration and methods. Use and application of matrices including inverses, determinants, eigenvalues and eigenvectors. Differential and integral calculus for functions of several variables, including maximum-minimum problems. Method of least squares. First-order differential equations. Higher-order and systems of linear differential equations. Stability and trajectories using matrices. Population models and approximation techniques.

Prerequisites: Pre-req: 92.138 Calculus for the Life Sciences I.

92.141 Honors Calculus I Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8260
Status Active

This course covers the same topics as 92.131 Calculus I, but in an enriched environment.

92.142 Honors Calculus II Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8261
Status Active

This course covers the same topics as 92.132 Caluculus II, but in an enriched environment.

Prerequisites: Pre-req: 92.141 Honors Calculus I, or permission of Instructor.

92.151 Explorations in Mathematics Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8263
Status Active

An introduction to the nature of mathematics, providing insights into what mathematics is, what it accomplishes, and how it is pursued as a human enterprise. The course will stress concepts and relevance to modern experience, with topics to be selected at the discretion of each instructor from a wide variety of interesting and illustrative fields of mathematics. No credit in Science or Engineering.

92.178 Accelerated Calculus I (Last Term 1988 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8264
Status Inactive

92.183 Introduction to Statistics (Last Term 2006 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8266
Status Inactive

NOTE: This course is no longer offered under this course number. The course is now offered under 92.283 Introduction to Statistics.

92.202 Introduction to Personal Computers and Microsoft Office (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8268
Status Inactive

This is an intensive hands-on course intended to teach the student basic personal computer skills in a lecture/lab format using MS Office. The student will learn the fundamental concepts of word processing, spreadsheets, and presentation development.

92.203 Intermediate Personal Computing (Last Term 1997 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8269
Status Inactive

The lecture/lab course expands on the skills and knowledge learned in 90.202. The student will learn intermediate level features of word processing, business graphics and database features of spreadsheets.

92.204 Advanced Personal Computing (Last Term 1996 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8270
Status Inactive

This lecture/lab course is intended to teach the student advanced techniques for working with, customizing, and integrating the MS-Office suite of products.

92.209 Introduction To Basic (Last Term 1993 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8273
Status Inactive

92.210 Functions and Modeling Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 37657
Status Active

Engage in lab-based activities designed to strengthen their problem-solving skills and expand knowledge of the topics in secondary mathematics, focusing especially on topics from precalculus and the transition to calculus. Explore a variety of contexts that can be modeled using families of functions. Topics include conic sections, parametric equations and polar equations. Multiple representations, transformations, data analysis techniques and interconnections among geometry, probability and algebra. Quantitative approaches and building relationships between discrete and continuous reasoning will be recurrent themes.

Prerequisites: Pre-Req or Co-Req: 92.132 Calculus II.

92.211 Introduction to Programming with C (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8274
Status Inactive

92.217 Diff Essentials For Chemical Engineers Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8278
Status Active

92.219 BASIC Programming (Last Term 1996 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8279
Status Inactive

92.220 Visual Basic (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8280
Status Inactive

92.221 Linear Algebra I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8281
Status Active

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear dependence and independence, subspaces, basis. Inner products. Matrix algebra. Applications of the above will also be discussed.

Prerequisites: Pre-Req: 92.132 Calculus II with a 'C-' or higher.

92.222 Linear Algebra II Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8282
Status Active

Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, Markov chains, other applications of linear algebra.

Prerequisites: Pre-Req: 92.221 Linear Algebra I.

92.224 Advanced Visual Basic (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8284
Status Inactive

92.225 Calculus C Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8285
Status Active

Serves as a continuation of 92.126. This course covers integration by parts, integration of trigonometric integrals, trigonometric substitution, partial fraction, numeric integration, improper integrals, L'Hopital's Rule, indeterminate forms, sequences, infinite series, integral tests, comparison tests, alternating series tests, power series, Taylor series, polar coordinates, graphs and areas in polar coordinates, and parametric equations.

92.226 Calculus D Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8286
Status Active

Serves as a continuation of 92.225. This course covers curvature, cylindrical surfaces, dot and cross products, curves and planes in three space, cylindrical and spherical coordinates, functions of two variables, chain rule, directional derivatives and gradient, tangent planes, and double and triple integrals in rectangular, polar, cylindrical and spherical coordinate systems.

Prerequisites: Pre-req: 92.225 Calculus C

92.227 Elementary Math for Teaching: Geometry and Measurement Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 37459
Status Active

This is a mathematics content course which covers the geometry/measurement strands of the Massachusetts Curriculum Frameworks in Mathematics at a collegiate level. The goal is not only to prepare students for the elementary mathematics MTEL, but to lay the groundwork for graduate work in elementary mathematics education. The course centers around "Big Ideas" such as Equivalence, Proportionality, Transformations; and Shapes & Solids. Not for Science / Engineering majors.

Prerequisites: Math, Science, Engineering majors and Education minor only.

92.231 Calculus III Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8287
Status Active

Serves as a continuation of Calculus II Polar Coordinates, parametric equations, vectors and analytic geometry in space. Functions of several variables, partial derivatives, and chain rule. Tangent planes and normal lines. Maxima and minima, Lagrange multipliers, and multiple integrals.

Prerequisites: Pre-Req: 92.132 Calculus II with 'C' or better.

92.232 Math Lab I (Last Term 2008 Fall) Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 31891
Status Inactive

An introduction to mathematics related software. Topics from Calculus & Differential Equations will be explored using a symbolic package like Maple. the course will also introduce LaTeX, the standard for typesetting mathematics.

Prerequisites: Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.234 Differential Equations Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8289
Status Active

Classification and solution of ordinary differential equations of the first order and higher orders. The Laplace transform. Applications .

Prerequisites: Pre-Req: 92.132 Calculus II with a 'C-' or higher.

92.236 Engineering Differential Equations Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8290
Status Active

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of first-order equations. Applications of each topic are introduced and qualitative, analytical, and numerical solution techniques are studied. Laplace transform methods are discussed. The software package MATLAB may be used throughout the course.

Prerequisites: Pre-Req: 92.132 Calculus II.

92.241 Honors Calculus III Credits: 4

Course Details
Min Credits 4
Max Credits 4
Course ID 8291
Status Active

Covers the same topics as 92.231 Calculus II, but in an enriched environment.

92.242 Basic Programming With Application (Last Term 1987 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8292
Status Inactive

92.244 Honors Differential Equations Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8293
Status Active

Introduction to differential equations. Topics include first-order equations, second-order and higher-order linear equations, systems of first-order linear equations with constant coefficients, and Laplace transforms.

Prerequisites: Pre-Req: 92.132 Calculus II.

92.263 FORTRAN Programming (Last Term 1997 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8295
Status Inactive

Examines the programming principles of FORTRAN including input-output, arithmetic and control statements, arrays, functions and subroutines. Structured programming will be emphasized. Students will process several problems.

92.265 Pascal Programming (Last Term 1997 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8296
Status Inactive

Serves as an introduction to computer programming using the Pascal language. Topics to be discussed include the elements of algorithm design and data structures; algorithm development by stepwise refinement; language control structures, functions and procedures; the standard data types; scalar data types; and an introduction to structured types. Students will process a number of programs on the University computer.

92.267 C Programming (Last Term 2001 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8297
Status Inactive

Introduces students to the techniques of programming in C. The language syntax, semantics, its applications and the portable library are covered.

92.268 C++ Programming (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8298
Status Inactive

92.269 Advanced C++ (Last Term 2001 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8299
Status Inactive

92.270 Visual C++ (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8300
Status Inactive

92.283 Introduction to Statistics Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8302
Status Active

An introduction to descriptive statistics, graphing and data analysis, probability laws, discrete and continuous probability distributions, correlation and regression, inferential statistics. No credit for Math, Science, or Engineering majors.

Prerequisites: Not for Mathematics Majors.

92.301 Introduction to Applied Mathematics I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8303
Status Active

Discusses vector analysis, Green's Theorem, Divergence Theorem, Stokes' Theorem, Fourier series, integrals, and partial differential equations of physics and engineering.

Prerequisites: Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.302 Introduction to Applied Mathematics II (Last Term 2009 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8304
Status Inactive

Introduces students to matrix algebra, solution of systems of linear equations, eigenvalues and eigenvectors, solution of differential equations by matrix methods, series solution of differential equations, Bessel and Legendre functions, and Sturm-Liouville problems.

Prerequisites: Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.305 Introduction to Real Analysis I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8307
Status Active

Presents real and complex number systems. Sequences and series of complex numbers. Theory of metric spaces: completeness, compactness, continuity, uniform continuity. Differentiability of functions, and Taylor's Theorem.

Prerequisites: Pre-Req: 92.221 Linear Algebra I and 92.231 Calculus III.

92.306 Introduction to Real Analysis II (Last Term 1994 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8308
Status Inactive

Studies the sequences and series of functions, uniform convergence, elementary functions, and the functions between Euclidean Spaces: the derivative as a linear map, the Jacobian, inverse function theorem, implicit theorem, Taylor's theorem. Integration of real valued functions on Euclidean space, fundamental theorem of the integral calculus, and the change of variables formula will also be covered.

Prerequisites: Pre-Req: 92.305 Intro to Real Analysis I.

92.307 Probability and Mathematical Statistics I (Last Term 2002 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8309
Status Inactive

Probability, random variables, discrete and continuous densities, expectation and variance, special distributions (binomial, Poisson, normal, gamma, etc.), moment generating functions, joint and conditional distributions, transformations of variables, sampling, central limit theorem.

92.308 Probability and Mathematical Statistics I (Last Term 2004 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8310
Status Inactive

Point estimation and confidence intervals, hypothesis testing, correlation, linear regression, analysis of variance for the one- and two-way design, nonparametric methods, chi-square tests for contingency tables.

92.310 Introduction to Chaos and Dynamical Systems (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8311
Status Inactive

Introduces students to some of the spectacular developments in the new science of chaos by studying the field of mathematics known as dynamical systems. Students will do computer experiments and write up lab reports. Topics covered include: orbits, graphical analysis, periodic points, bifurcations, quadratic family, transition to chaos, symbolic dynamics, Chaos, Sarkovskii's theorem, Schwarzian derivative, fractals, Julia sets, and the Madelbrot set.

92.311 Introduction to Unix Operating System (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8312
Status Inactive

92.312 Unix Shell Programming (Last Term 2001 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8313
Status Inactive

92.313 Chaos Theory (Last Term 2000 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8314
Status Inactive

92.316 Unix System Administration (Last Term 2001 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8317
Status Inactive

92.317 Developing Portable Applications (Last Term 1994 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8318
Status Inactive

Addresses programmers who are required to port code or move programs between various platforms and environments.

92.318 Mathematics Mentoring (Last Term 2008 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8319
Status Inactive

A two-part learning course. The first half of the semester takes place in the classroom with students working on a methematics project. The function of the project is to learn some mathematics and serve as a model for how to approach a research project. In the second half of the semester, with the course instructor as mentor, students work with grade 6-12 students in a local school to develop a project for their school mathematics fairs. As a final product, students will submit a two-part report consisting of a poster presentation of their own project and a diary of experiences in mentoring the math fair projects.

92.320 Linear Algebra for Science and Engineers (Last Term 1986 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8320
Status Inactive

92.321 Discrete Structures I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8321
Status Active

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to computer science, and graph theory.

Prerequisites: Pre-Req: 92.131 Calculus I.

92.322 Discrete Structures II Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8322
Status Active

Examines graph theory, trees, algebraic systems, Boolean algebra, groups, monoids, automata, machines, rings and fields, applications to coding theory, logic design, and sorting.

Prerequisites: Pre-Req: 92.321 Discrete Structures I.

92.330 Symbolic Logic Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8323
Status Active

This course is an introduction to symbolic logic. Symbolic logic provides a solid foundation in formal reasoning for students preparing for further study in mathematics, linguistics,cognitive science, computer science or philosophy. Topics include propositional logic, first-order logic and systems of deduction. Tarski's notion of model, and the completeness and incompleteness theorems of Godel. Prerequisite: 92.321.

Prerequisites: Pre-Req: 92.131 Calculus I.

92.360 Mathematic Structure for Computer Engineers Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8327
Status Active

Basic concepts of data. Linear lists, strings, arrays, and orthogonal lists. Trees and graphs. Storage systems and structures. Storage allocation and collection. Multilinked structures. Symbol tables, searching and sorting (ordering) techniques.

Prerequisites: Pre-Req: 92.231 Calculus III.

92.362 Numerical Analysis I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8328
Status Active

Focuses on the theory and application of numerical techniques including error analysis. Also discusses solution of linear, nonlinear and differential equations, interpolation, numerical integration, and curve fitting. Computer solutions are emphasized.

Prerequisites: Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.363 Intro to Data Analysis Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8329
Status Active

Computer analysis of data derived from research conducted in physical, social, and life sciences. Data preparation. Data modification, file manipulation, and descriptive statistics using SPSS. Programming ability is not required. No credit in Science or Engineering.

Prerequisites: Pre-Req: 92.283 Introduction to Statistics or equivalent.

92.365 COBOL Programming I (Last Term 1996 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8331
Status Inactive

Presents the programming principles of COBOL, the Common Business Oriented Language. Identification, environment, data and procedures divisions, introduction to compilation procedures and diagnostic processing will be covered. Programming of basic applications, such as inventory and accounting problems is also discussed.

92.366 Problem Solving with FORTRAN (Last Term 1990 Sprilng) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8332
Status Inactive

Discusses advanced FORTRAN programming techniques including multidimensional arrays, all FORTRAN data types, character data, file manipulations, advanced subprogram argument passing and multidimensional array addressing. Additional topics include testing and debugging, numerical operating system and implementation of algorithms.

92.367 Assembler Lang Prog I (Last Term 1987 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8333
Status Inactive

92.368 COBOL Programming II (Last Term 1994 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8334
Status Inactive

Serves as a continuation of 92.365. Advanced programming problems in COBOL, discussion of COBOL systems software, sophisticated routines and generalized business file manipulation will all be presented.

92.375 Senior Seminar I Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 30392
Status Active

Student works with an advisor to develop a proposal for a senior project that will be carried out as part of 92.475 Senior Seminar II. Generally taken during the spring of the junior year. Prerequisite: permission of instructor.

92.385 Applied Statistics Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8340
Status Active

Introduction to experimental design, data analysis and formal statistical procedures from an applied point of view.

Prerequisites: Pre-Req: 92.132 Calculus II with a 'C-' or higher.

92.386 Probability and Statistics I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8341
Status Active

Provides a one-semester course in probability and statistics with applications in the engineering sciences. Probability of events, discrete and continuous random variables cumulative distribution, moment generatory functions, chi-square distribution, density functions, distributions. Introduction to estimation, hypothesis testing, regression and correlation.

Prerequisites: Pre-Req: 92.132 Calculus II.

92.403 Mathematical Analysis Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8344
Status Active

The real numbers, completeness, sequences of real numbers, functions, continuity, uniform continuity, differentiability, the Riemann integral, series or real numbers, sequences and series of functions, uniform convergence, power series.

Prerequisites: Pre-req: 92.132 Calculus II and 92.321 Discrete Structures I.

92.407 Probability and Mathematical Statistics I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8346
Status Active

Addresses the topics of probability, random variables, discrete and continuous densities, expectation and variance, special distributions (binomial, Poisson, normal, etc.), moment generating functions, joint and conditional distributions, transformations of variables, sampling, and the central limit theorem.

92.408 Probability and Mathematical Statistics II (Last Term 2003 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8347
Status Inactive

Discusses point estimation and confidence intervals, sufficiency, efficiency, Fisher's Lemma, Cramer-Rao bound, hypothesis testing, correlation, linear regression, analysis of variance for the one- and two-way design, non parametric methods, chi-square tests for contingency tables.

92.410 Computers and Calculators in the Classroom (Last Term 2004 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8349
Status Inactive

This course explores the roles of mainframes, PC�s and hand calculators in instruction, examine some of the available software and consider their use in a variety of areas of secondary mathematics, such as algebra, geometry (Euclidean and analytic), probability and statistics and introductory calculus. No credit in Science or Engineering.

92.411 Complex Variables I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 1227
Status Active

Discusses complex numbers, functions of a complex variable, mappings, derivatives, analytic functions, elementary functions. Laurent series, residues and poles, contour integration.

Prerequisites: Pre-Req: 92.231 Calculus III.

92.412 Complex Variables II (Last Term 2001 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8350
Status Inactive

Examines transformations, conformal mappings, boundary conditions, applications in heat conduction, electrostatic potential, and fluid flow, gamma and beta functions, Inverse Laplace transform, and Riemann surfaces.

Prerequisites: Pre-Req: 92.511 Complex Variables I.

92.413 Number Theory Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8351
Status Active

Studies congruencies and the Chinese Remainder Theorem, Primitive roots, quadratic reciprocity, approximation properties of continued fractions, Pell's equation. Recent application of number theory such as primality testing, cryptology, and random number generation will also be covered.

Prerequisites: Pre-Req: 92.221 Linear Algebra I or 92.321 Discrete Structures I.

92.415 Introduction to Chaos and Dynamic System (Last Term 2005 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8353
Status Inactive

92.417 Topics in Pattern Recognition and Neural Networks (Last Term 1999 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8355
Status Inactive

Continuation of Neural Networks I.

92.419 Mathematica (Last Term 2009 Summer) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8356
Status Inactive

A project -based course starting with an introduction to the basic features of Mathematica. A project that allows the student to focus on certain features in more detail is required and occupies the second half of the course.

92.420 Mathematical Problem Solving Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 1226
Status Active

Focuses on: mathematical resources, ability to use heuristics, the student's beliefs about the use of mathematics to solve problems, and the student's self-confidence as a problem solver. Effective strategies for incorporating problem solving in the curriculum will also be discussed.

Prerequisites: Pre-Req: 92.221 Linear Algebra I or 92.321 Discrete Structures I.

92.421 Abstract Algebra I Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 1225
Status Active

Elementary group theory, groups, cosets, normal subgroups, quotient groups, isomorphisms, homomorphisms, applications.

Prerequisites: Pre-Req: 92.221 Linear Algebra I.

92.422 Abstract Algebra II (Last Term 2006 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8357
Status Inactive

Discusses elementary rings and field theory, quotient rings and ideals, homomorphism of rings, rings of polynomials, algebraic extensions, automorphisms of fields, separable extensions, and the Galois Theory.

Prerequisites: Pre-Req: 92.421 Algebraic Structures.

92.426 Topology Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 33480
Status Active

Metric spaces, topological spaces, connectedness, compactness, the fundamental group, classifications of surfaces, Brouwer's fixed point theorem.

Prerequisites: Pre-Req: 92.305 Intro to Real Analysis I.

92.427 Geometry Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 1224
Status Active

This course is designed for current and prospective geometry teachers. In addition to the development of Euclidean geometry, students will become familiar with geometry applications in Geometer�s Sketchpad software, and to a lesser degree with other geometry software applications including Geogebra, Cabri, Maple and/or Mathematica. There will be an introduction to spherical and hyperbolic geometry and triangle measurements will be computed for each. Calculus based derivations of area and volume for surfaces and solids will be generated and related to Euclidean geometry topics.

Prerequisites: Pre-Req: 92.221 Linear Algebra I or 92.321 Discrete Structures I.

92.435 History of Mathematics Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 1223
Status Active

Examines ancient numeral systems, Babylonian and Egyptian mathematics, Pythagorean mathematics, duplication, trisection, and quadrature, Euclid's elements and Greek mathematics after Euclid, Hindu and Arabian mathematics, European mathematics from 500 to 1600, origins of modern mathematics, analytic geometry, the history of calculus. Also covers the transition to the twentieth century and contemporary perspectives.

92.442 Boundary Value Problems (Last Term 2001 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8362
Status Inactive

Focuses on partial differential equations of physics and engineering, boundary value problems, Fourier series, convergence tests, Sturm-Liouville problems, orthogonal systems, generalized Fourier series, and Fourier integrals and applications.

Prerequisites: Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.445 Partial Differential Equations Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8325
Status Active

Prerequisites: Pre-Req: 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.448 Mathematics of Signal Processing Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8365
Status Active

Representation of Signals: Fourier analysis, fast Fourier transforms, orthogonal expansions. Transformation of signals: linear filters, modulation. Band-limited signals. Sampling. Uncertainty principle. Windows and extrapolation. Applications to medical imaging and array processing.

Prerequisites: Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.450 Mathematical Modeling Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8366
Status Active

Applications of mathematics to real life problems. Topics include dimensional analysis, population dynamics wave and heat propagation, traffic flow.

Prerequisites: Pre-Req: 92.234 Differential Equations or 92.236 Eng Differential Equations.

92.452 Intermediate Math Statistics (Last Term 1993 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8368
Status Inactive

A survey of topics in mathematical statistics including those covered in the second actuarial exam. Maximum likelihood estimation, sufficient statistics, completeness and uniqueness, likelihood ratio tests, UMP tests, Rao-Blackwell theorem, non-central chi-squared and F distribution, SPRT, some multivariate distributions.

92.454 Numerical Analysis II (Last Term 2009 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8369
Status Inactive

Serves as a continuation of 92.362 including: numerical solution of ordinary and partial differential equations, boundary value problems, curve-fitting, error analysis and computer solutions.

Prerequisites: Pre-Req: 92.362 Numerical Analysis.

92.455 Assembly Language Programming I (Last Term 1996 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8370
Status Inactive

Presents absolute machine language coding and the symbolic programming language. The coding of practice problems on a high-speed digital computer using the basic computer instructions including arithmetic, input-out, logic, control operations and data manipulation will be covered.

92.457 ADA (Last Term 2000 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8371
Status Inactive

Introduces the syntax and semantics of the programming language ADA, including data structures and types, control structures, tasks, packages and generics. Practical exercises involving the language will be included.

92.458 Modeling In Industry and Government II (Last Term 2000 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8372
Status Inactive

For those students interested in graduate school or industry. Three to five students work as a team for a full academic year to solve a single open problem contributed from a company or government agency. Designed to expose students to original research, large-scale problem solving and demands on mathematical research in society.

92.461 Systems Simulation and Modeling (Last Term 1993 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8375
Status Inactive

Presents procedures in model construction and computerized simulation, modeling tools and techniques, model conceptualization and implementation, and selected applications of simulation.

92.462 Systems Programming (Last Term 1992 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8376
Status Inactive

Addresses basic concepts of assembly programs and compilers, macro generators, utility programs, supervisions, monitors, and high-level languages.

92.463 Systems Design and Development I (Last Term 1997 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8377
Status Inactive

Presents a general study of the design and development of computer-oriented data processing systems including: the approach requirements of the system, developing the solution, data controls, system controls, system evaluation, and reporting to management.

92.464 Systems Design and Development II (Last Term 2007 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8378
Status Inactive

Serves as a continuation of 92.463. Topics include: finalizing and implementing the system, post-installation evaluation, interdepartmental coordination, and case studies.

92.466 Stat Program Using SAS Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 31925
Status Active

92.468 Minicomp Principles and Applications (Last Term 1992 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8379
Status Inactive

92.472 Local Area Networks (Last Term 1997 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8382
Status Inactive

92.474 Senior Seminar I (Last Term 2007 Fall) Credits: 1

Course Details
Min Credits 1
Max Credits 1
Course ID 8384
Status Inactive

92.475 Senior Seminar II Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8385
Status Active

Undergraduate seminar on advanced mathematical topics. Students are required to develop an understanding of an advanced subject beyond the scope of an existing course or synthesize two or more different areas form their curriculum. Students are required to participate in the seminar, present their results to the Department and write a substantial thesis in their topic area. Essential course elements include library research, original research, and both verbal and written exposition. The first semester is a graduation requirement for majors in mathematics.

Prerequisites: Pre-Req: 92.375 or 92.474 Senior Seminar I.

92.476 Senior Seminar III Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8386
Status Active

An optional second semester seminar to allow for continuation of study initiated in Senior Seminar I.

Prerequisites: Pre-Req: 92.475 Senior Seminar II.

92.477 Course number 92.477 should be 90.480. (Last Term 2001 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8387
Status Inactive

N/A

92.478 Managing Information Systems II (Last Term 2001 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8388
Status Inactive

92.486 Probability and Math Statistics II Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8394
Status Active

Point estimation, confidence intervals, hypothesis testing. Two-sample t-test. Correlation and linear regression. The bivariate normal distribution. Analysis of variance for one-and two-way designs. F tests. Nonparametric methods. Chi-squared tests for contingency tables. Generalized likelihood ratio. C.R. bound. Consistency. Prerequisite: 92.386.

Prerequisites: Pre-Req: 92.386 Prob & Stats I.

92.490 Selected Topics Credits: 1-3

Course Details
Min Credits 1
Max Credits 3
Course ID 8396
Status Active

Individual study for the student desiring more advanced or more specialized work. Course may not be substituted for scheduled offerings. Prerequisite: Permission of Department Chair.

92.491 Directed Study in Algebra Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8397
Status Active

Individual study for the student desiring more advanced or more specialized work in algebra. May be repeated for a total of six semester credits. Course may not be substituted for scheduled offerings.

92.492 Directed Study in Analysis (Last Term 2009 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8398
Status Inactive

Individual study for the student desiring more advanced or more specialized work in analysis. May be repeated for a total of six semester credits. Course may not be substituted for scheduled offerings.

92.493 Directed Study in Geometry (Last Term 2007 Fall) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8399
Status Inactive

Individual study for the student desiring more advanced or more specialized work in geometry. May be repeated for a total of six semester credits. Course may not be substituted for scheduled offerings.

92.494 Directed Study in Statistics Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8400
Status Active

Individual study for the student desiring more advanced or more specialized work in Statistics. May be repeated for a total of six semester credits. Course may not be substituted for scheduled offerings. Prerequisite: Permission of Department Chair.

92.498 Mathematics Seminar (Last Term 1986 Spring) Credits: 3

Course Details
Min Credits 3
Max Credits 3
Course ID 8401
Status Inactive

Allows for student reading, writing and criticism of topics from current literature. Review of some important elements of undergraduate work.