Undergraduate Catalog 2011-2013 - SUNY Institute of Technology

Courses
C O U R S E S
MAT 115 Finite Mathematics for CS (4)
A rigorous introduction to discrete mathematics as it is used in computer
science. Topics include functions, relations, sets, propositional and
predicate logic, simple circuit logic, proof techniques, elementary
combinatorics, and discrete probability. Prerequisite: MAT 111 or
equivalent. Meets new General Education Mathematics requirement.
MAT 120 Precalculus (4)
Introduces the student to some of the fundamental concepts needed
to be able to study calculus. Topics include: algebra review, functions,
graphing, exponential, logarithmic, and circular functions, trigonometry,
complex numbers, and vectors. Students who have previously completed
MAT 121 or higher may not enroll in this course for degree credit.
Prerequisite: MAT 111 or equivalent. Meets new General Education
Mathematics requirement.
MAT 121 Calculus for Engineering Technology I (4)
Introduces the student to the differential calculus. Topics include: analytic
geometry in a plane, functions, limits, the derivative and differentiation
rules, partial derivatives, related rates, extrema, curve sketching, mean
value theorem, linear approximations and parametric equations.
Prerequisite: MAT 120 or equivalent. Meets new General Education
Mathematics requirement.
MAT 122 Calculus for Engineering Technology II (4)
Introduces the student to the integral calculus. Topics include: the
indefinite and definite integrals, areas, volumes, work, the exponential,
logarithmic, inverse trigonometric, and hyperbolic functions, integration
techniques, improper integrals, L’Hopital’s rule, Taylor polynomials and
polar co‐ordinates. Prerequisite: MAT 121 or equivalent.
MAT 151 Calculus I (4)
More advanced than MAT 121, this course is required for mathematics
and engineering majors, and is recommended for mathematics minors.
Covers the concept of the derivative and begins the study of integration.
Topics include: functions, limits, continuity, the derivative, differentiation
rules, mean value theorem, related rates, extrema, curve sketching,
Newton’s method, linear approximations, definite and indefinite integrals,
the fundamental theorem of calculus and parametric equations. Meets
new General Education Mathematics requirement. Prerequisite: MAT
120 or equivalent. MAT 121 and MAT 151 cannot both be taken for
credit. Restricted to Applied Mathematics and Electrical Engineering
Majors only.
MAT 152 Calculus II (4)
More advanced than MAT 122, this course is required for mathematics
and engineering majors, and is recommended for mathematics minors.
Continues the study of integration and also includes infinite series. Topics
include: integration techniques, transcendental functions, applications of
integration, conic sections, L’Hopital’s rule, improper integrals, sequences
and series, and polar co-ordinates. Meets new General Education
Mathematics requirement. Prerequisite: MAT 151 or equivalent or MAT
121 with permission of instructor. MAT 152 and MAT 122 cannot both
be taken for credit. Restricted to Applied Mathematics and Electrical
Engineering Majors only.
MAT 225 Applied Statistical Analysis (4) (Cross Listed
with STA 225)
Deals in depth with statistical methods used to analyze data. Applications
are drawn from many diverse areas. Topics include: measures of location
and scale for frequency distributions, addition and multiplication laws for
probability, the binomial, Poisson, and normal distributions, inferences
about proportions and location parameters in one‐sample and two‐sample
problems, analysis of completely randomized and randomized blocks
designs, simple linear regression and correlation, sign test, median test,
rank sum test, and signed rank test. Prerequisites: Calculus II (MAT 152)
or Calculus II for Engineering Technologies (MAT 122).
MAT 230 Differential Equations (4)
An introduction to the theory of ordinary differential equations and
matrices. The emphasis is on the development of methods important
in engineering and the physical sciences. Topics include: theory and
applications of first order and second order differential equations,
Laplace transform method, matrix algebra, determinants, Cramer’s rule,
eigenvalues, and systems of linear differential equations. Prerequisite:
MAT 122 or equivalent.
MAT 253 Calculus III (4)
Many properties of systems studied in applied science are functions of
several variables or vector valued functions. This course develops the
calculus of such functions. Topics include: vectors and vector valued
functions, analytic geometry in space, functions of several variables,
partial differentiation, the gradient, maxima and minima, Lagrange
multipliers, and multiple integrals, line and surface integrals, Stokes and
Divergence theorems. Prerequisite: MAT 122 or equivalent.
MAT 260 Ordinary Differential Equations and Series
Solutions (4)
The course will allow students to become familiar with the subject of
differential equations. It covers methods of solutions such as: separation
of variables, integrating factor, reduction of order. Differential equations
with constant and variable (Cauchy-Euler) coefficients are treated as well
as series solutions of differential equations are introduced (method of
Frobenius, Bessel and Legendre equations). Laplace transform and system
of Linear first order equations are covered. Examples of applications of
differential equations in physics, engineering are given. Prerequisite:
MAT 152.
MAT 290 Topics in Mathematics (1-4)
An introductory course in selected topics in Mathematics not currently
covered in any of the listed classes. Topics are chosen to illustrate different
fields and applications which are all part of mathematics.
MAT 335 Mathematical Modeling (4)
Designed to teach the student some of the skills necessary to construct and
critique mathematical models of physical and industrial processes. The
student will apply skills acquired in MAT 230 to the models presented.
Topics include: applications of first and second order ordinary differential
equations, systems of nonlinear ordinary differential equations, stability,
phase plane analysis, optimization, conservation laws and finite
differences. Prerequisite: MAT 230 and familiarity with a computer
language, or permission of instructor.
MAT 340 Linear Algebra (4)
Many systems studied in science, engineering, and computer science
involve a linear relationship among many variables. Linear algebra is the
mathematical description of such problems. Topics include: systems of
linear equations, Gaussian elimination, matrices, determinants, Cramer’s
rule, vector spaces, linear transformations, eigenvalues and eigenvectors.
Prerequisite: MAT 121 or permission of instructor.
MAT 345 Introduction to Graph Theory (4)
Provides students with an introduction to graphs and their properties.
Topics include graphs and digraphs, eulerian and hamiltonian graphs,
connectivity, planarity, shortest path problems, trees, and coloring.
Attention will be paid to theorems and their proofs. Applications will
be given throughout the course. Prerequisite: MAT 122 or MAT 413.
MAT 370 Applied Probability (4)
An introduction to the theory of probability and its applications. Topics
include: basic set theory, elementary probability, counting arguments,
conditional probability and independence, random variables and their
properties, functions of random variables, distribution functions,
probability models and applications such as stochastic processes.
Prerequisite: MAT 122.
MAT 380 Abstract Mathematics: An Introduction (4)
An introduction to rigorous mathematics. Students will be exposed to the
building blocks of mathematical theory – axioms, definitions, theorems,
and proofs. The emphasis will be on constructing proofs and writing
clear mathematics. The language and methods of mathematics will be
explored while introducing students to the basics of set theory, number
theory, topology on the real line, and functions. Prerequisite: MAT 122.
116 SUNYIT Undergraduate Catalog 2011-2013