Math
Courses
Support Services for College Mathematics
Free
tutoring is available for all math courses in the Mathematics Learning Center.
Students are encouraged to visit room A-118 to take advantage of this service.
MA0500 Introductory
Algebra and Lab 0
cr.
To
help all students develop or review basic mathematical skills, this semester
course and lab, meeting three times a week, is offered. Review of the elements
of basic high school algebra. Operations on number systems, linear equations,
factoring, rational expressions, exponents and radicals, quadratic equations.
Offered every semester.
MA1020 College
Algebra 4
cr.
College
algebra course covering functions, factoring polynomials, rational and
algebraic expressions, exponents and radicals, solutions to quadratic
equations, complex numbers, inequalities, systems of equations, matrices,
Cramer's rule, graphs of functions. Offered every semester.
Prerequisite: MA0500 or equivalent.
Corequisite: BE I or BE II placement.
MA2010 Foundations of Mathematics I 4
cr.
A
course designed primarily for students majoring in elementary education. MA2010 covers fundamental theory, historical
context and underlying logic of the mathematics taught in elementary school.
Content is intended to complement the recommendations in the National Council
of Teachers of Mathematics Standards 2000, and emphasis is placed on problem
solving and communication in mathematics.
Topics studied include introductory problem solving, functions, number
systems, the operations and properties of arithmetic, estimation, and selected
topics from set theory and number theory.
Offered every semester.
Prerequisite:
MA1020
A
course deigned primarily for students majoring in elementary education. MA2020 covers fundamental theory, historical
context and underlying logic of the mathematics taught in elementary
school. Content is intended to
complement the recommendations in the National Council of Teachers of
Mathematics Standards 2000, and emphasis is placed on problem solving and
communication in mathematics. The syllabus includes topics from elementary ☺ combinatorics, probability,
statistics, geometry and measurement.
Offered
every semester.
Prerequisite:
MA1020
MA2050 Quantitative
Reasoning and Decision Making 4 cr.
This
course focuses on essential skills in critical thinking, problem solving and
decision making. As part of a student's general education, applications of
quantitative methods to solving real-life problems are explored. Skills
examined include pattern recognition, graphing, deductive logic, statistical
inference, probabilistic reasoning, and introduction to modeling. Topics
include ethics in decision making, personal value systems, consumer finance,
the language of advertising, energy and environmental issues at the community
and global level. Offered every spring.
Prerequisite: MA1020 or permission of instructor.
MA2080 Precalculus
for Business and Economics 4
cr.
The
study of linear, quadratic, exponential, and logarithmic functions and their
graphs. Systems of equations and an introduction to matrices. Applications in
the fields of business and economics. Offered every semester.
Prerequisite:
Three years of regents high school mathematics
or MA1020.
MA2090 Precalculus 4
cr.
A
course designed primarily for students who wish to take MA2310. A study of
algebraic, logarithmic, exponential, and trigonometric functions and their
graphs. Offered every semester.
Prerequisite:
Three years of Regents high school mathematics
or MA1020.
MA2300 Calculus
for Business and Economics 4
cr.
Limits,
differentiation, and integration. Relevant applications from the areas of
business, economics and the social sciences. Offered every semester.
Prerequisite:
Four years of Regents high school mathematics
or MA2080 or
MA2090.
MA2310 Calculus
and Analytic Geometry I 4
cr.
MA2310,
MA2320, and MA3330 form an integrated three‑semester course in the
elements of analytic geometry, and differential and integral calculus with
applications. Offered every semester.
Prerequisite:
Four years of Regents high school mathematics
or MA2090.
MA2320 Calculus
and Analytic Geometry II 4
cr.
See
MA2310. Offered every semester.
Prerequisite:
MA2310.
MA3030 Discrete
Mathematics 4
cr.
Topics
include logic, set theory, combinatorics, functions and relations on discrete
structures, induction, recursion, graph theory, trees, and algebraic
structures. Offered every semester.
Prerequisite:
MA2310.
MA3160 Linear
Algebra 4
cr.
An
introduction to linear algebra beginning with two and three dimensional spaces,
and including such topics as matrices, systems of equations, determinants,
vector spaces, linear transformations, eigenvalues, and applications. Offered
every fall.
Prerequisite:
MA2310.
MA3210 Introduction
to Probability and Statistics 4 cr.
A one‑semester
course containing foundation material in theory and statistical inference.
Topics include discrete and continuous distributions, random events, estimation
and hypothesis testing. Offered every semester.
Prerequisite:
MA2310; MA2320 recommended.
MA3330 Calculus
and Analytic Geometry III 4
cr.
See MA
2310. Offered every spring.
Prerequisite: MA2320.
MA3810 Mathematical
Logic and Set Theory 4
cr.
Basic
concepts of mathematical logic and set theory, propositional calculus,
predicate calculus, algebra of sets, functions and relations, cardinal numbers,
ordinal numbers, point sets on the real line. Offered every other spring.
Prerequisite:
MA2310.
MA4100 Number
Theory 4
cr.
A
study of the utilization of concrete examples to introduce concepts of modern
algebra; prime numbers, congruences, diophantine equations, elementary
combinatorial analysis. Offered every other spring.
Prerequisite:
MA2320.
MA4200 Probability 4
cr.
Sample
space, concepts of probability, conditional, marginal and joint probabilities,
random variables and functions of random variables; discrete and continuous and
other special distributions; moment generating functions; law of large numbers
and central limit theorem; conditional expectations, and introduction to
stochastic processes. Offered every other fall.
Prerequisites: MA2320, MA3210.
MA4300 Numerical
Analysis 4
cr.
A
study of numerical methods with computer work: solution of algebraic and
transcendental equations, systems of linear equations, interpolation, numerical
solution of differential equations, error estimation. Offered every other fall.
Prerequisite: MA3330.
MA4360 Differential
Equations 4
cr.
A
study of differential equations and their applications; ordinary differential
equations with particular emphasis on linear differential equations, systems of
differential equations, boundary value problems and applications to electrical,
mechanical and chemical systems. Offered every spring.
Prerequisite:
MA2320.
MA4510 Geometry 4
cr.
Geometry
from a modern axiomatic standpoint. Higher Euclidean geometry emphasizing
incidence and separation properties, metric properties, area theory. Euclidean
constructions. Offered every fall.
Prerequisite:
MA2320.
MA4910 Operations
Research I 4
cr.
An
introductory course in operations research theory and methodologies. Operations
research uses systematic mathematical processes to find optimal solutions to
problems in business, government and science. Topics include matrix algebra,
Simplex method of Linear Programming, the Big M Method, Duality Theory,
Transportation Programming, the Assignment Problem, Network Analysis and an
Introduction to Dynamic Programming. Offered every fall.
Prerequisites:
MA2320, MA3160.
MA4920 Operations
Research II 4
cr.
The
second course in the operations research sequence, this course examines the
probabilistic nature of certain operations research models. Topics include ☺Queuing
Theory, the Birth and Death Process, Stochastic Processes, Markov Chains,
Chapman‑ ☺ Kolmogorov equations and Inventory Theory. Offered every
other spring. Prerequisite: MA3210.
MA4930 Applied
Mathematical Economics 4
cr.
This
course examines quantitative methods and systematic solutions to real-life
problems with economic components. Topics (generally referred to as engineering economy), include basic
finance, money-time functions, selection among alternatives, decision-making
under risk and uncertainty, forecasting, optimization. Problems are examined in
microeconomics, investment, manufacturing, project management, transportation,
energy efficiency, and actuarial science.
Offered every other spring.
Prerequisite:
MA2300 or MA2310.
MA5120 Abstract
Algebra I 4
cr.
Groups,
homomorphisms, rings, integral domains, ideals, polynomials and fields. Offered
every spring.
Prerequisite:
MA3160.
MA5130 Abstract
Algebra II 4
cr.
Continuation
of MA5120 and includes the Sylow Theorems, free groups, extension fields,
Galois theory, finite fields. Offered as needed.
Prerequisite:
MA5120.
MA5230 Mathematical
Statistics 4
cr.
Review
of set theory, probability, random variables and some standard distributions.
Focuses on estimation of parameters, confidence intervals, hypothesis testing,
likelihood ration tests, sampling distributions, one-sample and two-sample
test. Offered as needed.
Prerequisite:
MA4200.
MA5320 Advanced
Calculus I 4
cr.
An
analytical study of topics from calculus. Topics will include limits,
continuity, uniform continuity, differentiability, sequences and series of
functions, uniform convergence, Taylor series, theory of integration,
elementary transcendental functions, vectors, functions of several variables,
partial derivatives, and directional derivatives. Offered every fall.
Prerequisites:
MA3160, MA3330.
MA5330 Advanced
Calculus II 4
cr.
A
continuation of MA5320. Topics will include differentiability of vector valued
functions, the Jacobian implicit functions, multiple integrals, line and
surface integrals, improper integrals, integral representation of functions,
Gamma and Beta functions, and Fourier series. Offered every other spring.
Prerequisite:
MA5320.
MA5360 Real
Analysis 4
cr.
☺
Lebesgue Integration: outer measure, measure and measurable sets; simple
functions and the space L1 of Lebesgue integrable functions; Fatou’s Lemma and Lebesgue’s
dominated and bounded convergence theorems; Lp spaces; Riemann‑Stieltje's
integral; signed measure; Hahn and Jordan’s decomposition theorems. Offered as
needed.
Prerequisite:
MA5320.
MA5380 Complex
Analysis 4
cr.
Introduction
to the theory of analytic functions of complex variables including such topics
as complex arithmetic, power series expansion, conformal mapping, analytic
functions, and residues. Offered as needed.
Prerequisite:
MA3330.
MA5510 Topology 4
cr.
A
study of general topology, including such topics as topological spaces, metric
spaces, continuity, connectedness, compactness, product and quotient spaces,
functions spaces, homotopy, isotopy, fundamental groups. Offered as needed.
Prerequisite:
MA3330.
MA5900 Research 2-4 cr.
Research
project carried out under the supervision of a faculty member.
Prerequisite: Permission of instructor.
MA5910 Special
Topics 4
cr.
Selected
topics in mathematics. Offered as needed.
Prerequisite:
Permission of instructor.
MA9990 Independent
Study 2-4 cr.
Designed
to give the advanced student the opportunity for independent reading,
development of a project or a mathematical model.
Prerequisite:
Permission of instructor.