|
Math 101. Fundamentals of Algebra
|
|
The course gives the student fundamental quantitative and algebraic
skills needed in other mathematics and science courses. Topics
include: equations and inequalities, absolute value, linear
systems, exponents, factoring, rational expressions, rational
exponents, quadratic equations and functions.
This course does not supply
any portion of the science credits required in any CBU
degree program. Prerequisite: one year of high school
algebra.
|
One semester; three credits
|
|
Math 105. Finite Mathematics |
|
The course contains introductory topics in mathematics for
students in arts and business. Students learn important,
useful introductory concepts in linear mathematics, consumer
mathematics, probability and statistics. Topics include
matrices, linear programming, probability and statistics.
Applications illustrate each concept. The course emphasizes
the use of mathematics to solve real problems.
Prerequisite: Math 101 or passing a departmental placement test
Offered in the Fall and Spring.
|
One semester; three credits
|
| Math 106. Applied Math with an Introduction to
Calculus |
|
The course contains introductory topics in mathematics for
students in arts and business. Topics include functions; graphs;
linear, polynomial, rational, exponential and logarithmic
models and an introduction to differential and integral
calculus.
Prerequisite: MATH 105 or MATH 117. Offered
in the Fall and Spring.
|
One semester; three credits
|
|
Math 108. Math Modeling for the Liberal Arts |
The course uses models appropriate to arts majors to motivate
the study of algebra. Topics include algebraic expressions,
symbol manipulation, linear and quadratic equations, functions,
graphs, linear, polynomial, rational, exponential and logarithmic
models. The course stresses interpretation of the mathematical
model and its diverse applications. A student may receive credit
for only one of Math 108 or Math 117; a student may receive
credit for only one of Math 108 or Math 106.
Prerequisite: Math 105
|
One semester; three credits
|
|
Math 117. Precalculus |
|
The goals of the course are to teach the student the
basic concepts of college algebra and trigonometry, and
to prepare the student for calculus. Topics include
elements of algebra, linear equations, quadratic
equations, word problems; functions, graphs, exponential
and logarithmic functions, right triangle trigonometry,
trigonometric functions. The course stresses problem
solving by the student with the use of a graphing
calculator. Prerequisite: MATH 101 or equivalent.
Offered in the Fall and Spring.
|
One semester; three credits
|
|
Math 131. Calculus I |
|
The goals of the course are to teach the student important
concepts of calculus and its applications. Topics include
functions, the derivative and its interpretations, the
definite integral and its interpretations, the Fundamental
Theorem of Calculus, rules of differentiation, applications
of the derivative and the antiderivatives. The course
uses numerical, graphical and algebraic approaches
for each concept. Three lectures, one laboratory
period per week. The course requires the use of a graphing
calculator. Prerequisite: MATH 117. This
prerequisite is waived for a student who passes a
departmental placement test. Offered in the Fall and
Spring.
|
One semester; three credits
|
|
Math 132. Calculus II |
|
The goals of the course are to teach the student additional
important topics of calculus begun in MATH 131. Topics include
integration including parts, partial fractions and use of
tables, applications of integration, differential equations
and modeling, approximations using Taylor and Fourier polynomials
and series. The course requires the use of a graphing
calculator. Prerequisite: MATH 131. Offered in the
Fall and Spring.
|
One semester; three credits
|
|
Math 141. Introduction to Discrete Mathematics |
|
This course considers a variety of discrete mathematical
themes and subjects. These themes include problem
solving, abstraction, representation, mathematical
reasoning and pro or, recursion, induction, modeling and
synthesis. Topics include logic, graphs, sets,
algorithms and combinatorics. Prerequisite: MATH 105 or
117. Offered in the Spring semester.
|
One semester; three credits
|
|
Math 201. Applied Statistics |
|
This course contains an introduction to the concepts and
methodology of statistics as applied to scientific data.
Topics include probability, descriptive statistics,
sampling distributions, estimation, hypothesis testing,
correlation, and regression. A student can receive
credit for only one of MATH 300 and MATH 305.
Prerequisite: MATH 131. Offered in the Fall
semester.
|
One semester; three credits
|
|
Math 231. Differential Equations |
|
Introduction to ordinary differential equations,
including: first-order equations; second-order linear
equations; higher-order linear equations; models and
applications; Laplace transforms. Prerequisite: MATH
132. Offered in the Fall and Spring.
|
One semester; three credits
|
|
Math 232. Calculus III |
|
Algebra of vectors in a plane and in space; the calculus
of vectors; vector functions, basic concepts of multi
variable calculus; partial derivatives, multiple
integrals. Prerequisite: Math 23l. Offered in the Fall
and Spring.
|
One semester; three credits
|
|
Math 301. Geometry and History of Mathematics |
|
The course contains topics in geometry and the history
of mathematics. Topics include Euclidean and
non-Euclidean geometry, mathematical structures and the
historical development of mathematical concepts.
Prerequisite: Math 132. Offered every other year.
|
One semester; three credits
|
|
Math 308. Statistics |
|
The course considers statistical methods with applications
in engineering and science. Topics are selected from an
introduction to probability, descriptive statistics, sampling
methods, design of statistical experiments, concepts of
hypothesis testing and confidence intervals, correlation,
linear regression and analysis of variance. Offered in
the spring semester. Prerequisite: Math 232.
|
One semester; three credits
|
|
Math 309. Probability |
|
The course considers fundamental topics in probability
with applications in engineering and science. Topics are
selected from: basic concepts in probability, random variables,
expectation, variance, covariance, moment generating functions,
common distributions such as binomial, hypergeometric, Poisson,
geometric, uniform, normal, exponential, chi-square, T and
F distributions, probability models, the
central limit theorem and functions of a random variable,
bivariate, marginal and conditional distributions.
Offered in the Fall semester. Prerequisite: Math 232.
|
One semester; three credits
|
|
Math 329. Applied Analysis |
|
The course is an introduction to the mathematical
analysis of numerical methods with an emphasis on the
numerical solution of problems. Topics include matrices
and systems of linear equations, solution of nonlinear
equations, polynomial interpolation, numerical
integration, and numerical methods for ordinary
differential equations. Prerequisite or Corequisite:
MATH 231 and a computer language. Offered every other
year.
|
One semester; three credits
|
|
Math 401. Linear Algebra |
|
This course contains an introduction to the basic
concepts of linear algebra- namely Gaussian elimination,
the theory of simultaneous linear equations,
determinants, vector spaces, eigenvalues, eigenvectors
and linear transformations. The course includes
applications of linear algebra to selected topics from
engineering, biology, and business. Prerequisite: Math
232. Offered every other year.
|
One semester; three credits
|
|
Math 402. Abstract Algebra |
|
The course contains an introduction to some basic
concepts of abstract algebra, namely: groups, rings, and
fields and includes applications. Prerequisite: Offered
in the Spring semester of even numbered years. MATH 232.
|
One semester; three credits
|
|
Math 405. Discrete Mathematics |
|
This course is an introduction to graph theory and
combinatorics. The topics will be chosen from the
following: the basic properties of graphs and digraphs,
graphs as models, Eulerian and Hamiltonian circuits,
graph coloring, trees, network algorithms, games and
puzzles, generating functions, and recurrence relations.
Prerequisite: Math 231. Offered every other year.
|
One semester; three credits
|
|
Math 413. Functions of a Complex Variable |
|
This course concerns itself with the rudiments and
techniques of complex analysis. Topics that are covered
include: complex sequences, the derivative of a complex
function, the Cauchy-Riemann equations, integration in
the complex plane and the Cauchy-Goursat theorem,
Cauchy's integral formula, Morera's theorem, Taylor and
Laurent series, residue theory, and the evaluation of
definite integrals. Prerequisite: Math 232. Offered in
the Fall semester of even numbered years.
|
One semester; three credits
|
|
Math 414. Functions of a Real Variable |
|
The course develops the theory of calculus. It stresses
the proofs of the theorems for functions of one
variable. Topics include sequences, series, functions,
limits, continuity, differentiation and integration.
Prerequisite: Math 232. Offered in the Spring semester of
odd numbered years.
|
One semester; three credits
|
|
Math 461-462. Senior Seminar I and II |
|
The student conducts an independent investigation in
some field of mathematics. The course requires both
written and oral reports. In addition, the student must
pass a comprehensive assessment test in mathematics.
Prerequisite: Junior or Senior standing and approval of
the department head. Offered in sequence in the Fall and
Spring.
|
One semester; zero and two credits respectively
|
|
Math 470-479. Topics in Mathematics |
|
This course is designed to meet the current needs of the
students and to express the particular interests of the
instructor. Prerequisites: Junior standing, MATH 232 and
permission of instructor.
|
| One semester; one to three credits
|