
Course
Rotations
Why Major In Math? |
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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.
Every semester.
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| MAT 131.
Calculus I |
4 hours |
Calculus I, II, and III form the Calculus sequence for students in mathematics, physics, or chemistry. The objective of these three courses is to introduce the fundamental ideas of differential and integral calculus as they pertain to functions of both one and several variables.
Topics for Calculus I include limits, continuity, rates of change, derivatives, the Mean Value Theorem, applications of the derivative, curve sketching, related rates, optimization problems, and an introduction to area and integration.
Every Fall.
Prerequisite: MAT 103/Precalculus is * recommended* for students who would like a referesher in precalculus and/or trigonometry.
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| MAT 132.
Calculus II |
4 hours |
This course is a continuation of Calculus I. Topics include the Fundametal Theorem of Calculus, inverse functions, exponential and logarithmic functions, techniques of integration, applications of integration, sequences, and infinite series.
Every Spring.
Prerequisite:
MAT 131/Calculus I with a grade of "C-" or higher.
Alternate Prerequisite: MAT 121/Applied Calculus with a grade of "B-" or higher and permission of instructor.
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| MAT 233.
Calculus III |
4 hours |
This course is a continuation of Calculus II. Topics include vectors, lines, planes, vector-valued functions of a real variable/curves, partial derivatives, multiple integrals, and a brief introduction to vector fields.
Every Fall.
Prerequisite:
MAT
132/Calculus II with a grade of "C-" or higher.
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| 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.
Alternate Springs. See the major-level course rotation page for more details.
Prerequisite: MAT 233/Calculus III
with a grade of "C-" or higher.
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| MAT 251. Classical and Modern Geometries |
4 hours |
This course provides a rigorous survey of classical and modern geometries. The intellectural and historical impact that geometry has had over the millennia is an underlying theme. Topics include: axiomatic and topological foundations; Euclidean geometry and its constructions; hyperbolic geometry; spherical geometry; projective geometry; and finite geometries. The primary audience consists of students interested in secondary mathematics teaching; however, mathematics major with other career paths and science majors are welcome.
Offered irregularly.
Prerequisite: MAT 132/Calculus II
with a grade of "C-" or higher.
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| MAT 261. Proof & Logic: An Introduction to Post-Calculus 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.
Alternate Falls. See the major-level course rotation page for more details.
Prerequisite: MAT 132/Calculus II with a grade of "C-" or higher.
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| MAT 290. Special Topics in Mathematics |
4 hours |
Courses of selected topics will be offered periodically as determined by the needs of the curriculum.
Offered Irregularly.
Prerequisite: See the individual course listing in the current semester class schedule.
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| 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.
Alternate Falls. See the major-level course rotation page for more details.
Prerequisite: MAT 132/Calculus II with a
grade of "C-" or higher.
It is recommended that students have Math 233/Calculus III as a co-requisite for this course. See the instructor for questions about prerequesites and co-requisites.
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| 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.
Alternate Springs. See the major-level course rotation page for more details.
Prerequisite: MAT 233/Calculus III
with a grade of "C-" or higher.
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| 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.
Alternate Springs. See the major-level course rotation page for more details.
Prerequisite: MAT 132/Calculus II with a grade of "C-" or
higher. It is recommended that students take MAT 261 before
taking this course.
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| 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.
Alternate Falls. See the major-level course rotation page for more details.
Prerequisite: MAT 362/Linear Algebra with a grade of "C-" or higher.
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| 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 prior to registration.
Offered Irregularly.
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| MAT 490. Advanced 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.
Alternate Springs. See the major-level course rotation page for more details.
Prerequisites
will depend on the topic but will include a minimum of MAT 233/Calculus III
with a grade of "C-" or higher and permission of the instructor.
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| 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.
Offered as needed.
Prerequisites: Permission of
the faculty supervisor and qualification for the internship
program. |
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