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: z-procedures (one and two populations), t-procedures (one and two populations), and ANOVA.

Every semester.

No prerequisite.
 

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.

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.

4 hours

This course is a continuation of Calculus II. Topics include the basic geometry of Euclidean 3-space (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.

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.

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 major-level course rotation page for more details.

Prerequisite: MAT 233 with a grade of "C-" or higher.
 

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 alternate-year rotation. Take this course as soon as possible so that you can make good progress through your degree.
 

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.
 

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.

4 hours

This course provides a calculus-based study of probability. Topics include set-theoretic, 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 major-level 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 co-requisite for this course. See the instructor for questions about pre-requisites and co-requisites.
 

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 major-level course rotation page for more details.

Prerequisite: MAT 132 AND MAT 241 with grades of "C-" or higher.

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 major-level course rotation page for more details.

Prerequisite: MAT 241 AND MAT 372 with grades of "C-" or higher.
 

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 point-set topology, which are extensions of the more elementary notions learned in calculus. 

Spring Semester of Odd Years. See the major-level course rotation page for more details.

Prerequisites: MAT 233 AND MAT 241 with a grades of "C-" or higher.

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 major-level 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.
 

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.

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 major-level 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.