2017-2018 Undergraduate Catalog [Archived Catalog]
Mathematics
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Scott Preston, Chair
398A Shineman Center
315-312-3030
www.oswego.edu/math
Directory of Professors
Our mission is to promote appreciation of the beauty and utility of mathematics, so the mathematics programs at Oswego introduce both mathematical theory and practical applications. The department offers the Bachelor of Arts in Mathematics and the Bachelor of Science in Applied Mathematics, as well as the Mathematics Minor and the Applied Statistics Minor. We work closely with the School of Education: Adolescence Education majors who concentrate in mathematics are strongly encouraged to also complete the BA in Mathematics, and Childhood Education majors may also choose our strong mathematics concentration program. In addition, we cooperate with the Economics Department and with the School of Business to offer interdisciplinary majors in Applied Mathematical Economics, and in Management Science. (These majors are described elsewhere in this Catalog.)
For purposes of placement and advisement, we offer placement exams. We want all of our students to enroll in courses that they are prepared to succeed in, and from which they will benefit.
Career opportunities in mathematics are numerous and varied. Recent graduates have been employed as research analysts, information system designers, systems analysts, computer programmers, underwriters, actuarial trainees, pension analysts, and insurance analyst trainees. Other graduates have gone on to graduate work in mathematics, statistics, education, physics, economics, and engineering.
The Department of Mathematics cosponors this program:
Major
Minor
Honor Requirements for Major
Other Programs
Mathematics
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MAT 102 - Foundations of Mathematics in the Real World
2017-2018 Catalog Year:
Analysis of real world data through elementary statistical methods and mathematical models will illustrate the range and power of mathematics to gain understanding of our natural world. The course includes topics from the areas of data analysis, growth models, social choice, and management science.
Offered: Fall, Spring
Offered: Fall, Spring
Credit: 3 -
MAT 103 - Symmetries
2017-2018 Catalog Year:
A mainly geometrical study of symmetry facilitated by the examination of patterns from various cultures and works of art. Patterns are created by the repetition of a small fundamental design. Those slides, turns and flips (isometries, i.e., functions that preserve distances) that leave a pattern unchanged interact in ways that lead naturally to the abstract, yet fundamental, concept of a group. This course studies such symmetry groups and their use in classifying material culture. Two key concepts are composition of isometries and color-consistency.
Offered: Not on a regular basis
Credit: 3 -
MAT 104 - College Algebra
2017-2018 Catalog Year:
Factoring, rational expressions, solution of equations and inequalities, functions, applications of functions, polynomial, exponential and logarithmic functions, solution of exponential and logarithmic equations.
Prerequisite: MAX 101 or appropriate score on the math placement test
Offered: Fall, Spring
Credit: 3 -
MAT 106 - Number Systems and Operations
2017-2018 Catalog Year:
This course is the first of a two semester sequence designed for the prospective N-6 and N-9 teacher. Students will develop a comprehensive understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics (NCTM) Standards. Topics include: sets, numeration systems, whole numbers, integers, rational numbers, real numbers, and number theory. A hands-on problem solving technology based approach will be emphasized throughout MAT 106 and 206. Students must pass an arithmetic competency test. Advisement Recommendation: NYS Integrated Algebra or the equivalent.
Offered: Fall, Spring
Credit: 4 -
MAT 120 - Precalculus
2017-2018 Catalog Year:
This course is designed to prepare a student for MAT 210. Topics include solutions to equations; inequalities; algebraic, exponential, logarithmic, and trigonometric functions.
Prerequisite: MAT 104 or appropriate score on the math placement test
Offered: Fall, Spring
Credit: 3 -
MAT 158 - Introduction to Statistics A
2017-2018 Catalog Year:
Basic concepts in descriptive statistics, probability, and statistical inference including: frequency distributions, measures of location and dispersion, correlation, binomial theorem, sampling, statistical estimation and hypothesis testing.
Advisement Recommendation: NYS integrated algebra or equivalent
Offered: Fall, Spring, Summer
Credit: 3 -
MAT 159 - Statistics and Society
2017-2018 Catalog Year:
This course is for Honors Program students only. The course covers probability, descriptive and inferential statistics, exponential models, experimental and sampling design, with the goal of fostering in students good mathematical thinking and awareness of its range and power.
Offered: Spring
Prerequisite: High School Algebra II and enrollment in Honors Program.
Offered: Spring
Credit: 3 -
MAT 179 - Measuring Life
2017-2018 Catalog Year:
This course presents knowledge foundations for modeling processes of plant and animal life. Topics include exponential models, probability, descriptive and inferential statistics, and experimental and sampling design. The course serves as an introduction to the range and power of mathematical thinking.
Offered: Fall, Spring
Offered: Fall, Spring, Summer
Credit: 3 -
MAT 206 - Introduction to Geometry and Probability
2017-2018 Catalog Year:
This course is the second of a two semester sequence designed for the prospective 1-6 teacher. Students will develop a comprehensive understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics (NCTM) Standards. Topics include: geometry, probability, statistics and the metric system. A hands-on problem solving technology based approach will be emphasized throughout MAT 206.
Offered: Fall, Spring
Prerequisite: MAT 106
Offered: Fall, Spring
Credit: 4 -
MAT 208 - Mathematical Applications for Business and Management
2017-2018 Catalog Year:
An introductory course emphasizing mathematics applicable to business and management. Students will develop a basic understanding of linear algebra and elementary calculus as these are used in business.
Note: Intended for Business majors. Not open to students who have passed MAT 210.
Prerequisite: MAT 104 or MAT 120 or appropriate score on the math placement test
Offered: Fall, Spring, Summer
Credit: 3 -
MAT 210 - Calculus I
2017-2018 Catalog Year:
Introduction to the differential calculus of functions of one real variable, including limits, continuity, derivatives, and applications to curve sketching and extremum problems. Also a brief introduction to the integral calculus.
Prerequisite: MAT 120 or appropriate score on the math placement test
Offered: Fall, Spring, Summer
Credit: 4 -
MAT 215 - Introduction to Discrete Mathematics
2017-2018 Catalog Year:
A survey of discrete mathematics including informal proof techniques and mathematical induction, set theory with emphasis on functions and inverse functions, cardinality of sets, graph theory, enumeration, and discrete probability theory. This course will stress algorithmic thinking and precise mathematical expression.
Offered: Fall, Spring
Prerequisite: MAT 210 or instructor permission.
Offered: Fall, Spring
Credit: 3 -
MAT 220 - Calculus II
2017-2018 Catalog Year:
A continuation of MAT 210. Topics covered include: transcendental functions, improper integrals, indeterminate forms, sequences, infinite series, Taylor series, numerical methods, and differential equations.
Offered: Fall, Spring
Prerequisite: MAT 210.
Offered: Fall, Spring, Summer
Credit: 4 -
MAT 230 - Matrix Algebra
2017-2018 Catalog Year:
Solutions of linear systems, matrices, vector spaces, linear transformations, determinants, similar matrices, spectral theory, applications to differential equations.
Offered: Fall, Spring
Prerequisite: MAT 210.
Offered: Fall, Spring
Credit: 3 -
MAT 240 - Multivariable Calculus
2017-2018 Catalog Year:
Calculus of real-valued functions of two and three variables. Topics covered include: polar coordinates, curves and surfaces in space, partial derivatives and multiple integration.
Offered: Fall, Spring
Prerequisite: MAT 220 or instructor permission.
Offered: Fall, Spring
Credit: 4 -
MAT 249 - Engineering Mathematics
2017-2018 Catalog Year:
Covers mathematical methods for engineers. Topics include complex numbers and arithmetic, ordinary differential equations with application to system modeling, linear algebra with emphasis on solving linear equations, and numerical analysis with computational algorithms.
NOTE: Mathematics majors may not count both Mat 249 and Mat 348.
Prerequisite: MAT 220
Offered: Fall
Credit: 4 -
MAT 258 - Introduction to Statistics B
2017-2018 Catalog Year:
A continuation of MAT 158 with major emphasis on hypothesis testing. Topics include: a variety of statistical tests, additional measures of correlation, analysis of variance and covariance, and nonparametric methods. Applications as time allows.
Offered: Fall, Spring
Prerequisite: MAT 158 OR MAT 179, or instructor permission.
Offered: Fall, Spring, Summer
Credit: 3 -
MAT 300 - History of Mathematics
2017-2018 Catalog Year:
The development of mathematics is studied from ancient Greece and other early civilizations through the modern period. The focus is on central mathematical concepts. Includes problem solving and a look at the institutions, participants, and role of modern mathematics.
Offered: Fall
Note: Satisfies a writing requirement for mathematics majors.
Prerequisite: MAT 215 and 220, or instructor permission.
Offered: Fall
Credit: 3 -
MAT 304 - Mathematical Topics in the Secondary Curriculum
2017-2018 Catalog Year:
This course provides a comprehensive overview of the mathematics curriculum, from Math 7 through Pre-Calculus, with emphasis on the New York State course of study. The major topics are studied with attention to their relative positions in the curriculum. Instructional strategies and calculator/computer use are included. Students solve both standard textbook exercises and more challenging problems.
Offered: Spring
Prerequisite: MAT 215, 220, and 230, or instructor permission.
Offered: Spring
Credit: 3 -
MAT 306 - Techniques of Problem Solving
2017-2018 Catalog Year:
This course is intended for the 1-6 Childhood Education Mathematics Concentrate. It extends the topics introduced in MAT 106 and utilizes analytical thinking techniques in problem solving situations. Topics include study of integers, rational and real numbers; elementary number theory; and solutions of equations and systems of equations. The emphasis on problem solving reflects current statements in both the “NCTM Standards”and the New York State Education Department “Framework for Mathematics, Science and Technology.”
Prerequisite: MAT 106 and 210, or instructor permission.
Offered: Spring Odd years
Credit: 3 -
MAT 307 - Fundamentals of Geometry
2017-2018 Catalog Year:
Geometric thinking, including exploration, formal deduction, and problem solving. Properties of geometric figures, congruence, similarity, area and volume, transformations, compass constructions, coordinate geometry. Designed for Mathematics Concentrates in Childhood Education. It offers the mathematical theory behind the geometry of the middle school curriculum. Computer software is used.
Prerequisite: MAT 210.
Offered: Spring Even years
Credit: 3 -
MAT 310 - Introduction to Linear and Integer Programming
2017-2018 Catalog Year:
The formulation of linear programming problems. Methods of solution of linear programming problems, including the simplex, transportation and network flow algorithms. Methods of solving integer programming problems.
Offered: Fall (Odd years)
Prerequisite: MAT 230 or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 318 - Statistics in the Sciences
2017-2018 Catalog Year:
Basic statistical methods for students majoring in the physical and social sciences. Topics include descriptive statistics, random variables, the normal and binomial distributions, random sampling and sampling distributions, parameter estimation, confidence intervals and significance testing. Applications in linear regression models, the analysis of variance, and categorical data analysis will be covered.
Offered: Fall, Spring
Note: The course prepares students for MAT 351, 352, 357, 358, and 359. This course is not an elective for any mathematics major.
Prerequisite: MAT 210
Offered: Fall, Spring
Credit: 3 -
MAT 320 - Numerical Analysis I
2017-2018 Catalog Year:
Representation of numbers and errors; methods for the solution of nonlinear equations; numerical integration; interpolation and polynomial approximation; numerical solutions of ordinary differential equations; numerical solutions of systems of equations. Emphasizes efficient programming techniques and the mathematics associated with numerical methods.
Offered: Spring
Prerequisite: CSC 212 and MAT 220 and MAT 230, or instructor permission.
Offered: Spring
Credit: 3 -
MAT 330 - Introduction to Algebra
2017-2018 Catalog Year:
Groups and their fundamental properties, permutation groups, cyclic groups, subgroups, Lagrange’s theorem, and homomorphisms and isomorphisms of groups. Introduction to rings.
Offered: Fall, Spring
Prerequisite: MAT 215 and 230, or instructor permission.
Offered: Fall, Spring
Credit: 3 -
MAT 332 - Cryptology
2017-2018 Catalog Year:
Introduction to the theory and practice of cryptography and cryptanalysis. Theoretical underpinnings of modern cryptosystems will be examined and unproven assumptions exposed. Both symmetric- and public-key cryptosystems will be covered. Applications of cryptography to identification, authentication and non-repudiation protocols. Zero-knowledge protocols and oblivious transfer. Cryptanalytical attacks. Economic, political and ethical issues raised by strong cryptography will be discussed.
Offered: Irregular
Prerequisite: CSC 241 and MAT 215, or instructor permission.
Equivalent Course: CSC 332
Offered: Not on a regular basis
Credit: 3 -
MAT 335 - College Geometry
2017-2018 Catalog Year:
The classical axiom systems of Euclid and Hilbert. Models are used to illustrate the theory. Historical aspects and alternative systems are presented.
Offered: Fall
Prerequisite: MAT 215 and 230, or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 339 - Discrete Mathematics and Statistics
2017-2018 Catalog Year:
This course covers applied statistics and discrete mathematics concepts for engineering. Topics include descriptive statistics, random variables, normal and binomial distributions, parameter estimation, confidence intervals and significance testing, mathematical induction, sets, graph theory, enumeration and computational algorithms. This course is not an elective for any mathematics major or concentration.
Offered: Spring
Prerequisite: MAT 220
Offered: Not on a regular basis
Credit: 3 -
MAT 347 - Analysis A
2017-2018 Catalog Year:
Line and surface integrals, Green’s theorem, the divergence theorem, and Stoke’s theorem. Properties of real numbers, convergence of sequences and series, and analysis of functions of one variable including metric topology, limits, continuity, uniform continuity, differentiability, and Riemann integrability.
Offered: Fall, Spring
Prerequisite: MAT 215 and 240, or instructor permission.
Offered: Fall, Spring
Credit: 3 -
MAT 348 - Ordinary Differential Equations
2017-2018 Catalog Year:
First order differential equations in one independent variable; constructive existence and uniqueness proofs, solutions containing parameters, continuation of solutions; extension to higher order differential equations, vector spaces and systems of linear differential equations.
Offered: Fall
Prerequisite: MAT 240 or instructor permission.
Offered: Fall
Credit: 3 -
MAT 351 - Introduction to Forecasting
2017-2018 Catalog Year:
Basic concepts of Forecasting; Trendline Fitting and Forecasting from Time Series Models; the Box-Jenkins approach to Model Building; Regression Methods and Econometric Models: Survey Data; Leading Indicators; Evaluation of Forecasts.
Prerequisite: MAT 208 or 210 and MAT 258 or 318, or instructor permission.
Offered: Fall
Credit: 3 -
MAT 352 - Statistical Quality and Process Control
2017-2018 Catalog Year:
Introduction to the methodology of statistical quality and process control. Topics will include control charts and their applications, process capability analysis, acceptance sampling procedures, and reliability concepts.
Offered: Spring (even years)
Note: (Not open for mathematics credit to mathematics majors or to secondary education majors in the mathematics concentration.)
Prerequisite: MAT 258 OR MAT 318, or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 353 - Mathematical Modeling
2017-2018 Catalog Year:
This course is designed to provide students with experience in using mathematics to solve practical problems. Examples of successful modeling of real-world problems will be studied, along with the strategies used in the modeling process. Students will acquire the ability to make simplifying assumptions in mathematical formulations of problems, to describe models in verbal and written presentations, and to use computer packages to analyze models.
Offered: Spring (odd years)
Prerequisite: MAT 220 and 230 OR MAT 208 OR MAT 210, and one of the following MAT 258 OR MAT 318 OR PSY 290, or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 354 - Mathematical Statistics A
2017-2018 Catalog Year:
Probability models, expectations, random variables, discrete and continuous density functions, moment generating functions, sampling theory, parameter estimation, hypothesis testing.
Offered: Fall
Prerequisite: MAT 240 or instructor permission.
Offered: Fall
Credit: 3 -
MAT 357 - Applied Regression Analysis
2017-2018 Catalog Year:
This course is designed to present the fundamental results of linear statistical regression models with emphasis on applications in business, economics and the behavioral and biological sciences. The development will include general linear hypothesis tests, residual analysis and assessment of model assumptions, indicator variables, and techniques for building linear regression models.
Offered: Fall (odd years)
Prerequisite: MAT 258 OR 318.
Offered: Not on a regular basis
Credit: 3 -
MAT 358 - Design and Analysis of Experiments
2017-2018 Catalog Year:
This course is an introduction to the role that statistics plays in experimentation. Emphasis will be placed on principles of design and on the analysis of experiments. Statistical designs such as randomized blocks, Latin squares, factorial experiments, fractional factorials and split-plots will be presented along with their applications to several disciplines.
Offered: Spring
Prerequisite: MAT 258 OR 318.
Offered: Spring
Credit: 3 -
MAT 373 - Number Theory
2017-2018 Catalog Year:
Divisibility, congruencies, Euler function, quadratic reciprocity, Diophantine equations, topics in algebraic or analytic number theory.
Offered: Spring
Prerequisite: MAT 215 and 220, or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 379 - Environmental Statistics
2017-2018 Catalog Year:
Statistical techniques are applied to the analysis and solution of environmental problems, with appropriate technology. The course deals with the bio-assay designs, toxicology, wildlife movement, and sampling in the context of environmental studies. Written reports are expected. This is an interdisciplinary course designed for science majors and minors in Applied Statistics.
Offered: Fall
Prerequisite: MAT 258 OR 318 OR 350 OR 354, or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 390 - Selected Topics
2017-2018 Catalog Year:
This course may be taken for credit more than once with permission of the instructor and the Mathematics Department Chair.
Offered: Irregular
Prerequisite: MAT 330 OR 347, or instructor permission.
Offered: Not on a regular basis
Credit: 1 to 3 -
MAT 399 - Independent Study
2017-2018 Catalog Year:
Individual study and research.
Note: Repeatable for a total of 12 credits. Credit: 1 to 6
Offered: Not on a regular basis
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MAT 409 - Mathematical Economics Problem Seminar
2017-2018 Catalog Year:
A seminar for advanced students who wish to apply in detail particular aspects of Applied Mathematical Economics. Emphasis is on in-depth analysis of such problems as mathematical applications of macro economic theory, micro economic theory and economic dynamics. Not open for math credit for math majors
Prerequisite: ECO 101 and ECO 200 and MAT 210 and either CSC 120 OR CSC 212, or instructor permission.
Offered: Spring
Credit: 3 -
MAT 420 - Numerical Analysis II
2017-2018 Catalog Year:
Numerical linear algebra; method of least squares; one step and multistep methods for the solution of initial value problems; shooting methods, finite difference methods and variational/Finite Element methods for boundary value problems. This course will emphasize error analysis as well as efficient programming techniques.
Offered: Fall (even years)
Prerequisite: MAT 240 and either MAT 320 OR CSC 320.
Offered: Not on a regular basis
Credit: 3 -
MAT 430 - Algebra
2017-2018 Catalog Year:
A continuation of MAT 330. Rings, integral domains and fields, vector spaces over a field, linear transformations and their matrix representations, and field extensions.
Offered: Fall (odd years)
Prerequisite: MAT 330.
Offered: Not on a regular basis
Credit: 3 -
MAT 442 - Complex Analysis
2017-2018 Catalog Year:
Complex functions, derivatives and integrals; analytic functions and Cauchy’s Integral Theorem; power series and Laurent series; residue theory and its applications to real integration; uniform convergence of a sequence of analytic functions; conformal mapping.
Offered: Fall (odd years)
Prerequisite: MAT 347 or instructor permission.
Offered: Not on a regular basis
Credit: 3 -
MAT 447 - Analysis B
2017-2018 Catalog Year:
A continuation of MAT 347. Additional topics will include the analysis of functions of several variables: continuity and differentiability, Jacobian matrices and the general chain rule, and change of variables in multiple integration.
Offered: Fall (even years)
Prerequisite: MAT 347.
Offered: Not on a regular basis
Credit: 3 -
MAT 448 - Partial Differential Equations and Orthogonal Functions
2017-2018 Catalog Year:
This course is a continuation of MAT 348. Orthogonal sets of functions. Fourier series, Fourier integrals, boundary value problems, linear partial differential equations.
Offered: Spring (Even years)
Prerequisite: MAT 348.
Offered: Not on a regular basis
Credit: 3 -
MAT 454 - Mathematical Statistics B
2017-2018 Catalog Year:
Hypothesis testing, multivariate regression, analysis, properties of estimators. Chi-square, t and F density functions, correlation, analysis of variance and covariance.
Offered: Spring
Prerequisite: MAT 350 OR 354.
Offered: Spring
Credit: 3 -
MAT 496 - Capstone Project
2017-2018 Catalog Year:
A project-centered experience to enhance one of the listed co-requisite courses. The student arranges with a faculty member to supervise the project. Includes a paper or report written to standards of the discipline and a short presentation to students and faculty.
Prerequisite: Instructor Permission.
Co-requisite: ADO 420, MAT 499, MAT 498, or additional 400 level mathematics course.
Offered: Not on a regular basis
Credit: 1 -
MAT 498 - Internship in Mathematics
2017-2018 Catalog Year:
A course designed for students who wish to take part in a semester long Experiential Learning placement related to the academic major. Students will work in a position in industry, business, government, or an agency setting for the purpose of applying academic learning in a work setting. Available for 0 to 12 credits.
Note: May be used to satisfy part of the capstone requirement for mathematics majors.
Prerequisite: Upper division standing, instructor permission, and departmental approval.
Offered: Not on a regular basis
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MAT 499 - Independent Study
2017-2018 Catalog Year:
Offered: Irregular
Note: This course may be taken for credit more than once with permission of the instructor and the Mathematics Department Chair. Credit 1 to 3
Prerequisite: Specific 300 level course(s) and instructor permission, and Mathematics Department Chair approval.
Offered: Fall, Spring
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MAX 100 - Basic Mathematics
2017-2018 Catalog Year:
The development of fundamental terminology, the concepts and skills, of basic mathematics and basic algebra. Those students preparing to take MAX 101 will, in addition, need to complete elementary algebra concepts and skills.
Offered: Fall, Spring
Note: This course may be used as 3 credit hours to meet the minimum 12 credit hour full time student requirement. This course may not be used to satisfy any mathematics requirement nor to satisfy college credit requirement for graduation.
Prerequisite: Instructor permission
Offered: Fall
Credit: 0
Mathematics: Remedial
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MAX 101 - Intermediate Algebra
2017-2018 Catalog Year:
This is an intermediate algebra course. Topics covered include signed numbers, exponents, radicals, absolute value, inequalities, factoring, rational expressions, and quadratic equations.
Offered: Fall, Spring
Note: This course may be taken for general college credit, but credits from this course may not be used to satisfy any mathematics requirement nor to satisfy college credit requirements for graduation.
Offered: Fall, Spring
Credit: 0
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