Course
Rotations
Why Major In Math? |
 |
No student will be permitted to register for a mathematics course
that is a prerequisite to a mathematics course for which the student
has already received academic credit.
| MAT 111. Statistics (ELECTIVE!) |
4 hours |
This course includes
descriptive and inferential statistics with particular emphasis
upon parametric statistics, rules of probability, interval
estimation, and hypothesis testing. Distributions that will be
discussed include the normal, chi-square, and t-distribution.
Additional topics include analysis of variance, regression and
correlation analysis, goodness-of-fit, and tests for
independence.
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| MAT 131, MAT 132, MAT 233.
Calculus I, II, III |
4 plus 4 plus 4 hours |
| This is the recommended
calculus sequence for students in mathematics, the physical
sciences, and computer science. The objective of these courses
is to introduce the fundamental ideas of the differential and
integral calculus of functions of one and several variables.
Topics include limits, continuity, rates of change, derivatives,
the Mean Value Theorem, applications of the derivative, curve
sketching, related rates, maximization/minimization problems,
area, integration, the Fundamental Theorem of Calculus, inverse
functions, logarithmic functions, exponential functions,
techniques of integration, applications of integration to
volumes and surface area, conic sections, sequences, series,
vectors, lines, planes, vector-valued functions, curves, partial
derivatives, multiple integrals, and vector fields.
For students who would like a refresher or more preparation
for MAT 131/Calculus I, the course MAT 103/Precalculus is
recommended.
Prerequisite for MAT 132/Calculus II:
MAT 131/Calculus I with a grade of "C-" or higher.
Prerequisite for MAT 233/Calculus III:
MAT
132/Calculus II with a grade of "C-" or higher.
|
| MAT 241. Differential Equations |
4 hours |
The objective of this
course is to introduce the fundamental ideas of the theory of
ordinary differential equations and to consider some of the
applications of this theory to the physical sciences. Topics
include equations of order one, applications of equations of
order one, linear differential equations, linear equations with
constant coefficients, nonhomogenous equations, undetermined
coefficients, variation of parameters, applications of equations
of order two, and power series solutions. Prerequisite: MAT 233
with a grade of "C-" or higher.
|
| MAT 261. Transition to Higher Mathematics |
4 hours |
| This course may be
considered a general introduction to advanced mathematics. As
such, it will consider various methods and techniques of
mathematical proof. Topics are drawn from logic, set theory,
functions, relations, combinatorics, graph theory, and boolean
algebra. Prerequisite: MAT 132 with a grade of "C-" or higher.
|
| MAT 341. Probability |
4 hours |
This course provides a
calculus-based study of probability theory. Topics include
set-theoretic, axiomatic and combinatorial foundations, basic
rules, conditional probability, independence, random variable
theory, special discrete and continuous models, probability
plots, and joint distributions. Prerequisite: MAT 233 with a
grade of "C-" or higher.
|
| MAT 351. Complex Analysis |
4 hours |
The objective of this
course is to introduce the fundamental ideas of the theory of
functions of a complex variable. Topics include complex numbers,
analytic functions, elementary functions, conformal mapping,
complex integration, and infinite series. Prerequisite: MAT 233
with a grade of "C-" or higher.
|
| MAT 362. Linear Algebra |
4 hours |
The objective of this
course is to introduce the fundamental ideas of linear algebra.
Topics include linear equations, matrices, determinants, vector
spaces, inner products, linear transformation, eigenvalues, and
eigenvectors. Prerequisite: MAT 132 with a grade of "C-" or
higher. It is recommended that students take MAT 261 before
taking this course.
|
| MAT 463. Abstract Algebra |
4 hours |
The objective of this
course is to introduce the fundamental ideas of modern algebra.
Topics include sets, mappings, the integers, groups, rings, and
fields. Prerequisite: MAT 362 with a grade of "C-" or higher.
|
| MAT 471. Special Topics in
Mathematics |
4 hours |
Selected topics in
advanced mathematics are offered such as Real Analysis,
Topology, Set Theory, Number Theory, Mathematical Statistics,
Abstract Algebra II, and Differential Geometry. Prerequisites
will depend on the topic but will include a minimum of MAT 233
with a grade of "C-" or higher and permission of the instructor.
|
| MAT 481. Independent Study in
Mathematics |
1-4 hours |
Supervised research on
a selected topic. Prerequisite: Submission of a proposed outline
of study that includes a schedule of meetings and assignments
approved by the instructor, the division chair, and the Provost
and Senior Vice President prior to registration.
|
| MAT 491. Internship in
Mathematics |
1-4 hours |
| An internship is
designed to provide a formalized experiential learning
opportunity to qualified students. The internship generally
requires the student to obtain a faculty supervisor in the
relevant field of study, submit a learning agreement, work 30
hours for every hour of academic credit, keep a written journal
of the work experience, have regularly scheduled meetings with
the faculty supervisor, and write a research paper dealing with
some aspect of the internship. Written work should total five
pages of academic writing for every hour of credit. An extensive
list of internships is maintained by the Career Services Office,
including opportunities at the Lynwood Park Community Center
Education Program, Internal Revenue Service, and various
actuarial and consulting firms. Graded on a
satisfactory/unsatisfactory basis. Prerequisites: Permission of
the faculty supervisor and qualification for the internship
program. |
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