Mathematics, MA

Mathematics or Applied Statistics Concentration

The MA in Mathematics is offered in two areas of concentration: mathematics (30-33 hours) and applied statistics (33 hours). Course work must be approved by the Department of Mathematics and Statistics and must include certain courses as explained in the discussion of the concentrations.

Students who plan to continue to the PhD program in computational mathematics are urged to elect the concentration in mathematics. They may then use the doctoral qualifying examinations to satisfy the comprehensive examination requirement in the non-thesis option for the MA degree.

Application and Admission

In addition to the application materials required by The Graduate School, applicants must submit a 500-700 word Personal Statement by April 1 to be considered for Fall admission.

Mathematics Concentration (30-33 hours)

The mathematics concentration offers a 30-hour thesis option and a 33-hour non-thesis option. At least half the work credited towards the degree must be in 600-level courses: 15 hours for the 30-hour program, and 18 hours for the 33-hour program.

Algebra or Analysis (3 hours)

Each candidate must complete any one of the following courses:

MAT 517Theory of Groups

3

MAT 545Differential Equations and Orthogonal Systems

3

MAT 591Advanced Abstract Algebra

3

MAT 592Advanced Abstract Algebra

3

MAT 595Mathematical Analysis

3

MAT 596Mathematical Analysis

3

(Note: Students who have had appropriate algebra or analysis courses as undergraduates may be exempted from this requirement upon approval by the Director of Graduate Study. In this case, these 3 hours must be replaced by 3 hours chosen in consultation with the Director of Graduate Study.)

Core Courses (9 hours)

At least 9 hours of course work must be chosen from the following list. At least 6 of these hours must constitute a complete year-long sequence.

MAT 623Numerical Mathematics

3

MAT 624Numerical Mathematics

3

MAT 631Combinatorics

3

MAT 632Graph Theory

3

MAT 647Linear Algebra and Matrix Theory

3

MAT 648Linear Algebra and Matrix Theory

3

CSC 653Advanced Theory of Computation

3

CSC 656Foundations of Computer Science

3

CSC 653Advanced Theory of Computation

3

CSC 656Foundations of Computer Science

3

MAT 688Mathematical Logic and Axiomatic Set Theory

3

MAT 689Mathematical Logic and Axiomatic Set Theory

3

MAT 691Modern Abstract Algebra

3

MAT 692Modern Abstract Algebra

3

MAT 693Complex Analysis

3

MAT 694Complex Analysis

3

MAT 695Real Analysis

3

MAT 696Real Analysis

3

MAT 697General Topology

3

MAT 698General Topology

3

MAT 645Approximation Theory

3

MAT 646Approximation Theory

3

STA 651Mathematical Statistics

STA 652Mathematical Statistics

Electives (12-21 hours)

With prior approval of the Director of Graduate Study a student will select 12-21 hours of other 500- or 600-level mathematical sciences courses.

Thesis or Comprehensive Examination (Capstone Experience)

Each candidate may elect to prepare a thesis or pass a written comprehensive examination on his/her program of course work. The thesis option is a 30 hour program; the non-thesis option is a 33 hour program.

Thesis (6 hours)

The candidate may prepare a thesis based on the investigation of a topic in mathematics. A thesis director will be appointed by the Department Head after consultation with the student and the Director of Graduate Study. Candidates may include up to 6 hours of thesis (MAT 699) in the required 30 hours. An oral examination on the thesis is required.

Comprehensive Examination

A candidate who does not prepare a thesis must take 33 hours of course work and pass a written comprehensive examination of his/her program. Please consult with the Director of Graduate Study for information concerning the comprehensive examination.

Applied Statistics Concentration (33 hours)

Undergraduate prerequisites: Baccalaureate degree and the following courses or their equivalents: STA 290, 291; MAT 191, 292; and CSC 130 or 230 or 231.

Foundation Courses (7 hours)

STA 551Introduction to Probability

3

STA 552Introduction to Mathematical Statistics

3

STA 581SAS System for Statistical Analysis

1

Students who have completed these courses as part of another degree prior to being accepted in the master’s program will choose replacement courses.

Core Courses (8 hours)

STA 661Advanced Statistics in the Behavioral and Biological Sciences I

3

STA 662Advanced Statistics in the Behavioral and Biological Sciences II

3

STA 668Consulting Experience

1

STA 690Graduate Seminar

1

Statistics Electives (6-9 hours)

At least two courses chosen from the following:

STA 670Categorical Data Analysis

3

STA 671Multivariate Analysis

3

STA 673Statistical Linear Models I

3

STA 674Statistical Linear Models II

3

STA 675Advanced Experimental Design

3

STA 676Sample Survey Methods

3

STA 677Advanced Topics in Data Analysis and Quantitative Methods

3

STA 711Experimental Course

Interdisciplinary Electives (3-6 hours)

Student can earn the remaining credits required for the degree either by taking any STA courses at the 500 level or above (except STA 571) or by taking a maximum of six (6) hours of approved graduate courses outside of statistics. Pre-approved interdisciplinary electives are:

CSC 523Numerical Analysis and Computing

3

CSC 524Numerical Analysis and Computing

3

CSC 526Bioinformatics

3

ECO 553Economic Forecasting

3

ECO 722Time Series and Forecasting

1–4

ECO 723Predictive Data Mining

1–4

ERM 669Item Response Theory

3

ERM 728Exploratory and Confirmatory Factor Analytic Methods for Scale Construction

3

ERM 729Advanced Item Response Theory

3

ERM 731Structural Equation Modeling in Education

3

HEA 602Epidemiology

3

MAT 531Combinatorial Analysis

3

MAT 541Stochastic Processes

3

MAT 542Stochastic Processes

3

Thesis or Project (Capstone Experience)

Each candidate must elect to prepare a thesis or project. Both options require 33 hours.

Thesis (6 hours)

The candidate may prepare a thesis based on the investigation of a topic in statistics. A thesis director will be appointed by the Department Head after consultation with the student and the Director of Graduate Study. Candidates will include 6 hours of thesis (STA 699) or 3 hours of STA 698 and 3 hours of STA 699 in the required 33 hours. An oral examination on the thesis is required.

Project (3 hours)

A candidate who does not prepare a thesis must complete a project under the direction of an advisor chosen by the Director of Graduate Study in consultation with the student. Three hours of STA 698 will be included in the 33 hour program.


 

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