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 introduces students to both
descriptive and inferential statistics. Topics include describing data grapically and numerically, normal distributions, correlation and linear regressions, basic probability, sampling distributions, the Central Limit Theorem, confidence intervals, and hypothesis tests. For the last two topics, the following will be mastered: zprocedures (one and two populations), tprocedures (one and two populations), and ANOVA.
Every semester.
No prerequisite.

MAT 131.
Calculus I 
4 hours 
Calculus I, II, III and IV form the Calculus sequence for students in mathematics and the sciences. The objective of these 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, related rates, optimization problems, introduction to area and integration, and the Fundamental Theorem of Calculus..
Every Fall.
Prerequisite: MAT 130 with a grade of "C" or higher OR By Placement Test.

MAT 132.
Calculus II 
4 hours 
This course is a continuation of Calculus I. Topics include inverse functions, exponential and logarithmic functions, techniques of integration, applications of integration, sequences, and infinite series.
Every Spring.
Prerequisite:
MAT 131 with a grade of "C" or higher.
Alternate Prerequisite: MAT 121/Applied Calculus with a grade of "B" or higher AND permission of instructor.

MAT 233.
Calculus III 
4 hours 
This course is a continuation of Calculus II. Topics include the basic geometry of Euclidean 3space (vectors, lines, planes), vector functions/curves (limits, derivatives, and integrals), and multivariable functions (limits, partial derivatives, and double integrals).
Every Fall.
Prerequisite:
MAT
132 with a grade of "C" or higher.

MAT 234.
Calculus IV 
2 hours 
This course is a continuation of Calculus III. Topics include triple integrals (cartesian, cylindrical, and spherical coordinates), coordinate changes via the Jacobian, curves, surfaces, vector fields (field diagrams, divergence, gradient, and curl), line integrals, surface integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem.
Every Spring.
Prerequisite:
MAT
233 with a grade of "C" or higher.

MAT 236. 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 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.
Spring Semester of Even Years. See the majorlevel course rotation page for more details.
Prerequisite: MAT 233
with a grade of "C" or higher.

MAT 241. Proof & Logic: An Introduction to PostCalculus Mathematics 
4 hours 
This course serves as a general introduction to advanced mathematics. As such, it will consider various methods of proof communicated through good mathematical writing. Topics are drawn from logic, set theory, functions, relations, combinatorics, graph theory, and Boolean algebra.
Every Fall.
Prerequisite: MAT 132
with a grade of "C" or higher.
NOTE: This course is a prerequisite to *every* mathematics class with a higher course number! That is why it is offered every fall instead of on the usual alternateyear rotation. Take this course as soon as possible so that you can make good progress through your degree.

MAT 349. Classical and Modern Geometries (ELECTIVE!) 
4 hours 
This course provides a rigorous survey of classical and modern geometries. The intellectual 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.
Offered irregularly.
Prerequisite: MAT 241
with a grade of "C" or higher.

MAT 351. Complex Analysis 
4 hours 
This course has been replaced by MAT 482 Real Analysis. Any student needing MAT 351 for graduation can substitute the new MAT 482 in its place.
See the entry for MAT 482 below.

MAT 361. Probability 
4 hours 
This course provides a
calculusbased study of probability. Topics include
settheoretic, axiomatic and combinatorial foundations, basic
rules, conditional probability, independence, discrete and continuous random variable
theory, special discrete and continuous models, probability
plots, and joint distributions.
Fall Semester of Even Years. See the majorlevel course rotation page for more details.
Prerequisite: MAT 132 AND MAT 241 with grades of "C" or higher.
It is recommended that students have Math 233/Calculus III as a corequisite for this course. See the instructor for questions about prerequisites and corequisites.

MAT 372. 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 transformations, eigenvalues, and
eigenvectors.
Spring Semester of Odd Years. See the majorlevel course rotation page for more details.
Prerequisite: MAT 132 AND MAT 241 with grades of "C" or higher.

MAT 471. 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.
Fall Semester of Odd Years. See the majorlevel course rotation page for more details.
Prerequisite: MAT 241 AND MAT 372 with grades of "C" or higher.

MAT 482. Real Analysis 
4 hours 
Real analysis is a very natural extension of calculus. In the first part of the course, we will develop rigorous proofs of many key calculus theorems – theorems whose validity was only assumed in the Calculus sequence. From there, we will move to a formal consideration of real numbers and pointset topology, which are extensions of the more elementary notions learned in calculus.
Spring Semester of Odd Years. See the majorlevel course rotation page for more details.
Prerequisites: MAT 233 AND MAT 241 with a grades of "C" or
higher.

MAT 490. Advanced Special Topics in
Mathematics 
4 hours 
Selected topics in
advanced mathematics are offered such as advanced abstract Algebra, combinatorics, differential geometry, dynamical systems, game theory, graph theory, mathematical statistics, number theory, numerical analysis, set theory, and topology..
Spring Semester of Even Years. See the majorlevel course rotation page for more details.
Prerequisites
will depend on the topic but will include a minimum of MAT 241 with a grade of "C" or higher.

MAT 491. Internship in
Mathematics 
14 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.

MAT 496. Senior Seminar in
Mathematics 
2 hours 
This course stresses the communication of mathematical ideas – both in written and oral/multimedia forms. Content will be appropriate for a senior level course in areas like complex analysis, dynamical systems, and topology. Course topics will be chosen taking into consideration recent offerings and the needs of the Oglethorpe community.
Prerequisites: MAT 241 with a grade of "C" or higher AND Senior Class Standing.
Every Spring. See the majorlevel course rotation page for more details.
This course will roll out in Spring 2013 or Spring 2014. Contact the Chair of Division IX for more details. 
