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MT
001
Basic Skills in Mathematics (Pre-algebra)
4 credits (in-house)
A refresher course in basic arithmetic. The criterion for placement in
the course is failure to pass the pre-algebra portion of the College's
Basic Skills Placement Test. Topics include fractions, decimals, ratio
and proportion, percents, rational numbers and solving equations. A
"C-" is the minimum requirement to progress to the next course. (every semester) Sample Syllabus
MT
002
Basic Skills in Mathematics (Algebra)
4 credits (in-house)
The principal objective of this course is to bring students up to
college proficiency in basic algebra skills. The criterion for
placement in the course is failure to pass the algebra portion of the
College's Basic Skills Placement Test. This course presumes mastery of
the basic computational skills covered in MT 001. Topics include
solving equations (with applications), polynomials, factoring, graphing
linear equations and inequalities, solving systems of linear equations,
and radical expressions. A "C-" is the minimum requirement to progress
to the next course. (every semester) Sample Syllabus
MT
110
Mathematics for Financial Decision Making
3 credits
This course emphasizes the practical application of mathematical
concepts and calculations essential to making modern business
decisions. Topics include payroll, interest, consumer credit, home
ownership, taxes, insurance, investment, discounts, and markups. (every semester) Sample Syllabus
Prerequisite:
MT 002 or equivalent
MT
112
Quantitative Reasoning
3 credits
This course examines various aspects of quantitative literacy such as
data representation and interpretation, relationships of numbers
(number sense), variables and functions, unit analysis, spatial
reasoning, uncertainty, probability, and coincidence. Integration of
numeracy and literacy skills will be stressed. (every semester) Sample Syllabus
Prerequisite:
MT 002 or equivalent
MT
114
Mathematical Explorations
4 credits
This course focuses on the conceptual understanding of basic
mathematics topics through student exploration and investigation.
Topics covered will include: the fundamental operation of arithmetic,
number theory, functions, proportional reasoning, data analysis,
geometry, measurement, and historical perspectives. Oral and written
communication will be emphasized.
(every semester) Sample
Syllabus
Prerequisite: MT 002 or equivalent
MT
122
Statistics I
3 credits
This introductory course covers descriptive
statistics and most of the
fundamental concepts of inferential statistics. Topics include
populations, random samples, measures of central tendency and
variability, probability, binomial and normal distributions, standard
scores, confidence intervals, hypothesis testing, student's "t," Chi
square, analysis of variance, linear regression, and correlation. (every semester) Sample Syllabus
Prerequisite:
MT 002 or equivalent
MT 160
College Algebra
4 credits
This
course aims to develop the idea of a
function and its graph. Using linear functions, quadratic
functions, general polynomials, rational functions, and logarithmic and
exponential functions, the course will cover topics such as but not
limited to domain and range, increasing and decreasing, concavity,
intercepts and zeros, and maxima and minima. This course will model
situations in natural and social sciences and business with appropriate
functions. (every semester) Sample Syllabus
Prerequisite:
MT 002 or equivalent
MT
210
Business Calculus
3 credits
This course, designed for business majors,
will continue the material in College Algebra by using techniques of
calculus; techniques of differentiation and integration will be
introduced. Students will use these techniques in solving
application problems such as optimization, related rates, and
accumulation. (every semester)
Prerequisite: MT 160 or equivalent
MT 215
Mathematics for Information Science I
3 credits
Introduction to differential and integral
calculus (variables and functions, limits, continuity, derivatives,
differentiation of algebraic functions, integration, integration by
parts, plane areas by integration, volumes of solids of revolution,
Taylor and McLaurin's series, partial derivatives). Introduction to
Probability and Statistics (tabular and graphical representations of
data, sample mean and variance, random experiments and outcomes,
probability, permutations and combinations, random variables,
discrete and continuous distributions, mean and variance of
distributions, binomial, Poisson, normal distribution, random sampling,
estimation of parameters, confidence intervals, testing of hypotheses,
goodness of fit, pairs of measurements, and regression).
Prerequisite: MT 160 or equivalent
MT
216
Mathematics for Information Science II
3 credits
Introduction to discrete mathematics for
Information Systems (logic, formal languages, automata, recursive
function theory, and algorithm analysis). Introduction to the
mathematics of Information Security and Cryptography (large number
theory, lattices, Euclidian and Extended Euclidian algorithms, the
birthday problem, primes, congruencies, Euler's theorem and
consequences, and exponential methods of factoring algorithms).
Prerequisite: MT 215
MT 231
Geometry I
3 credits
This course deals with the historical
evolution of geometric concepts and Euclidean geometries. This
course will also introduce an axiomatic system; students will learn to
read and write proofs using this system of axioms and postulates.
Topics include inductive and deductive reasoning, symmetry,
tessellations, congruence, similarity, and coordinate and
transformational geometry.
(Spring) Sample
Syllabus
Prerequisite:
MT 114 or MT 160 or equivalent
MT
243
Matrix Theory
3 credits
An introduction to linear algebra and
matrix theory and some of its significant applications, this course may
run concurrently with Calculus. Topics include: linear equations and
matrices, determinants, vectors and vector spaces, linear
transformations, eigenvalues and eigenvectors, and applications. (Spring) Sample Syllabus
Prerequisite:
MT 161 or permission of instructor
MT
262
Calculus I
4 credits
The first of a three-semester sequence in
Calculus, this course is designed to develop the basic concepts of
differential Calculus and their applications. Topics include continuous
and discontinuous functions; analytic geometry; slope of a curve; rate
of change of functions; limit theorems; derivations of algebraic,
exponential, logarithmic, trigonometric, and implicitly defined
functions; the mean value theorem; curve sketching; and maximum-minimum
problems. (Fall) Syllabus
Prerequisite:
MT 161 or equivalent
MT
263
Calculus II
4 credits
A continuation of Calculus I, this course
is designed to develop the concepts of integral Calculus and their
applications. Topics include the integral, techniques of integration,
applications of the definite integral to physical problems, integration
involving inverse trigonometric and hyperbolic functions, infinite
series, Power Series, Taylor polynomials and series, and parametric and
polar equations. (Spring) Sample Syllabus
Prerequisite:
MT 262
MT
280
Special Topics I
1-4 credits
This course varies by semester and
instructor. Topics may include using new or current technology; new or
current software; and new and exciting innovations in mathematics,
statistics, or mathematics education. This course may augment an
already existing course. This course is intended to run for a group and
not for a single student. (as needed)
Prerequisite: Permission of instructor
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MT
323
Statistics II
3 credits
This course introduces the concepts of
Bayesian Analysis. Statistical decision-making under conditions of
uncertainty is also covered. The chi-square and F-distributions are
introduced. Additional topics include analysis of variance, linear
correlation, linear regression, contingency tables, time series
analysis involving seasonal and cyclic trends, index numbers, and
cross-tabulations. (Spring) Sample Syllabus
Prerequisite:
MT 122
MT
332
History of Mathematics
3 credits
This course is an examination of the
development of mathematics. Themes include comparative mathematical
systems; the origin of whole, rational, irrational, complex, and
transfinite numbers; the evolution of geometry, number theory, algebra,
calculus, probability theory; and modern innovations such as chaos
theory. (Fall) Sample Syllabus
Prerequisite:
MT 231 or permission of instructor
MT
333
Geometry II
3 credits
This course will cover advanced topics in
Euclidean Geometry and topics in non-Euclidean Geometry. The topics
covered in geometries other than Euclidean geometry are such things as
finite geometries, geometric transformations, convexity, projective
geometry, topological transformations, and brief excursions into point
set topology, knot theory, orientable and non-orientable surfaces, and
fractal geometry. (Fall) Sample Syllabus
Prerequisite:
MT 231
MT
344
Discrete Mathematics
4 credits
This course provides an introduction to the
concepts of set theory, directed graphs, combinatorics, logic and
proof, Boolean algebra, recurrence relations, automata theory and
formal languages, equivalence relations and partial orderings. (every semester) Sample Syllabus
Prerequisite:
MT 161 or permission of instructor
MT
364
Calculus III
4 credits
This course completes the sequence of topics begun in MT 262 and MT
263: polar coordinates, parametric equations, elements of solid and
analytical geometry, vectors, functions of several variables, partial
differentiation, multiple integrals, line integrals including Green's
Theorem, Divergence and Curl. (Fall)
Sample Syllabus
Prerequisite:
MT 263
MT
365
Differential Equations
4 credits
This is a course in ordinary differential
equations with technical applications. Topics may include differential
equations of the first order, approximation methods, linear
differential equations, non-homogeneous equation, Laplacean transforms,
systems of differential equations, power series methods, and partial
differential equations. (Spring)
Sample Syllabus
Prerequisite:
MT 364
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MT
434
Abstract Algebra
3 credits
This course develops the introductory
theory of groups, rings and fields from an axiomatic point of view.
Topics include the fundamental concepts of set and group theory, rings,
fields and integral domains. (Fall) Sample Syllabus
Prerequisite:
MT 344, MT 364, or permission of instructor
MT
464
Introduction to Complex Analysis
4 credits
This course provides a comprehensive introduction to complex variable
theory and its applications. It includes an introduction to the
techniques of complex analysis that are frequently used by scientists
and engineers. Topics include complex numbers, analytic functions,
Taylor and Laurent expansions, Cauchy's theorem, and evaluation of
integrals by residues, Laplace transforms and Fourier series. (Fall) Sample Syllabus
Prerequisite:
MT 364
MT
480
Special Topics II
1-4 credits
This course varies by semester and
instructor. Topics may include using new or current technology; new or
current software; and innovations in mathematics, statistics, or
mathematics education. This course may also be used for subjects not
yet offered such as topology, algebraic topology, dynamical system,
partial differential equations, applied statistics, applied calculus,
and advanced linear algebra, among others. This course may augment an
already existing course. This course is intended to run for a group and
not for a single student. (as needed)
Prerequisite: Permission of instructor
MT
490
Independent Study
1-4 credits
With the approval of the instructor, a
student may arrange to pursue a course of independent study in a
specific area of Mathematics, Statistics, or Mathematics Education. The
course will involve tutorial meetings with the instructor, independent
reading and work, and an in-depth research project. The course is
normally taken by seniors or juniors and may be taken in situations
when a schedule conflict prevents a student from taking a regularly
scheduled mathematics elective. (as
needed)
Prerequisite: Permission of instructor