# Masters Program Details

Mathematics develops computational skills, critical thinking, and problem solving skills. The theory, discipline, and techniques taught in mathematics courses are especially important in today's society. The faculty of the Department of Mathematics recognizes this and strives to ensure that the student learner obtains this knowledge. At the same time, the faculty contributes to the discipline by fundamental research in pure and applied mathematics, statistics, and mathematics education.

#### Program Description

24 months | Credit Hours: 30 Teaching Option: For teachers or aspiring mathematics teachers, the M.S. Degree with a Concentration in Teaching offers mathematics courses specifically designed to address the current needs in secondary education by providing a comprehensive understanding of concepts relevant to in-class teaching. This program leads to T-5 Certification for those who enter the program with Teacher Certification. It also is suitable for those seeking to teach at the 2-year college level. It is the perfect stepping stone for those seeking to enroll in a doctoral program in Mathematics Education.Applied Option:? Whether you are seeking to further your career in industry, government or teaching at the junior college level, or for those wishing to enroll in a Ph.D. program, the M.S. Degree with a Concentration in Applied Mathematics will provide you with the education you need to succeed. It has applications in a wide variety of career fields, such as economics, biology, computation, social and management sciences and engineering. This program introduces students to a set of core courses fundamental to the study of applied mathematics, a broad range of elective courses in several applied areas and a focused research project class.

#### Method of Delivery

Program is partially online.

#### Accreditation

The University of West Georgia is accredited by the Southern Association of Colleges and Schools Commission on Colleges (SACCSCOC).

#### Credit & Transfer

Total semester hours required to earn a degree: 30

Maximum Hours Transferable into program: 6

#### Tuition & Fees

For the most up-to-date and accurate cost information see the Bursar's office.

## Coursework

Program is partially online.

We plan to offer 3 courses for Fall and Spring semesters and 2 during Summer and one of the courses each semester online.

**General:**

### Dynamical Systems and Applications - MATH-6003

**Description:**
Topics included linear dynamical systems and stability of linear systems, generation of dynamical systems by systems of ODE, local theory of dynamical systems, bifurcation theory, and applications.

### Topics in Number Theory - MATH-6043

**Description:**
Topics include divisibility, congruences, Quadratic reciprocity and Quadratic forms, number theory functions, Diophantine equations, Farey fractions and irrational numbers, continued fractions, primes and multiplicative number theory and the Partition Functions.

### Discrete Optimization - MATH-6103

**Description:**
Topics include discrete optimization problems, simplex algorithms, complexity, matching and weighted matching, spanning trees, matroid theory, integer linear programming, approximation algorithms, branch-and-bound, and local search and polyhedral theory.

### Applied Probability - MATH-6203

**Description:**
Topics include probability counting methods, discrete and continuous random variables and their distributions, expected value, sampling distributions, Central Limit Theorem, and normal approximation to the binomial.

### Statistical Methods - MATH-6213

**Description:**
This course will include the following topics: estimation, confidence intervals, hypothesis tests, nonparametric tests, analysis of variance, and regression.

### Geometry - MATH-6233

**Description:**
An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.

### Mathematical Analysis I - MATH-6253

**Description:**
Topics include the Real and Complex number systems, basic topological properties, numerical sequences and series, continuity of functions, the Riemann-Stieltjes Integral, sequences and series of functions, and the Lebesque Theory.

### Mathematical Analysis II - MATH-6263

**Description:**
Topics include metric spaces, topological spaces, compact spaces, Banach spaces, measure and integration, measure and outer measure, the Daniell Integral, and measure and topology.

### Introduction to Mathematical Control Theory - MATH-6303

**Description:**
Topics include discrete-time and continuous-time systems, reachability and controllability, feedback and stabilization, and outputs.

### Partial Differential Equations - MATH-6363

**Description:**
Classical methods used in partial differential equations. Topics include data propagating along characteristics, classifications of systems of the first order equation, the method of transforms and separation of variables, and typical applications of the wave and heat equations.

### Signal Processing - MATH-6403

**Description:**
Topics include Fourier Transforms, Fourier series, Fast Fourier Transforms, Fast Fourier Transforms, FFT, filtering, sampling, and digital signal processing.

### Advanced Modern Algebra I - MATH-6413

**Description:**
Topics include introduction to groups, subgroups, quotient group and homomorphisms, group actions, direct and semidirect products and Abelian groups, and further topics in Group Theory.

### Advanced Modern Algebra II - MATH-6423

**Description:**
Topics include introduction to rings, Euclidean domains, principle ideal domains and unique factorization domains, polynomial rings, field theory, and Galois Theory.

### Combinatorial Analysis - MATH-6473

**Description:**
An introduction to combinatorics. Topics include the pigeon hole principle, combinations, permutations, distributions, generating functions, recurring relations, and inclusion-exclusion.

### Theory of Graphs - MATH-6483

**Description:**
An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.

### Numerical Methods in Applied Mathematics - MATH-6503

**Description:**
Topics include norms, floating-point arithmetic and rounding errors, wellposed computations, numerical linear algebra, iterative solutions of nonlinear equations, polynomial interpolation, and numerical differentiation and integration.

### Applied Linear Algebra - MATH-6513

**Description:**
Topics include linear equations solving, error analysis and accuracy, linear least square problems, non-symmetric eignevalue problems, symmetric eigenvalue problems and singular value decomposition, and iterative methods for linear systems.

### Inverse Problems - MATH-6613

**Description:**
Topics include basis facts from Functional Analysis, ill-posed problems, regularization of the first kind, regularization by discretization, and inverse eigenvalue problems.

### Strategies for Teaching Math - MATH-6713

**Description:**
This course is designed to enable the learner to develop skills in teaching and planning for mathematics instruction at the secondary level. Special emphasis will be given to preparing teachers to teach in a performance-based curriculum.

### Assessment and Classroom Management in Mathematics Education - MATH-6723

**Description:**
This course is designed to enable the learner to develop skills in assessment and evaluation as well classroom management in the secondary-level mathematics classroom. Special emphasis will be given to the preparation and assessment of performance-based task.

### Research in Math Education - MATH-6733

**Description:**
This course is designed to enable the learner to review, analyze, and interpret available research in mathematics education with emphasis on the application of research to the secondary mathematics classroom.

### Advanced Perspective on Secondary Mathematics - MATH-6743

**Description:**
Topics include features of an advanced perspective, Real and Complex numbers, functions, equations, integers and polynomials, and number system structures.

### BioMathematics - MATH-6903

**Description:**
Topics include model building in development of experimental science, mathematical theories and models for growth of one-species and two or more species systems, mathematical treatment of differential equations in models stressing qualitative and graphical aspects, difference equation models, and scrutiny of biological concepts.

### Directed Readings - MATH-6982

**Description:**
Directed readings are for graduate students who need to conduct an independent review of the literature in a topic not offered by the program curriculum. The topic must be approved by the supervising instructor and the graduate director or department chair.

### Graduate Research Project - MATH-6983

**Description:**
The research course is designed to teach students methods for mathematical research. Students will conduct research under the supervision of a faculty mentor. Each student will work on a unique research project to be selected by the faculty mentor and the student. Student should have 18 hours of graduate-level mathematics and approval of faculty advisor.

#### Faculty

This describes the general information about faculty for this program.

#### Guidelines for Admittance

- All graduate applicants must complete the online Grad Application. A one-time application fee of $40 is required.
- Applicants should also review the Graduate Studies Website for individual program specific requirements and tasks that must be completed prior to admission. See Graduate Studies Application Process.
- International applicants are subject to additional requirements and application deadlines. See Procedures for International Students.
- Official transcripts from a regionally or nationally accredited institution are required and should be sent directly to the UWG Admissions Office.

#### Program-specific Admittance Guidelines

Regular Admission: a) 2.7 cumulative undergraduate GPA (4.0 scale) b) A GRE score of at least 1030 (no score lower than 400 on the verbal and quantitative tests) and a minimum Analytical Writing score of 3.5. The GRE mathematics subject test is not a requirement for admission into the MS in Mathematics program. c) Applicants interested in the MS in Mathematics with an option in Teaching may submit an official GRE score or new Miller Analogies Test (MAT) score. The new MAT score requirement for regular admission is 401-405 (percentile rank of 53-60). Scores for the New MAT taken after October 1, 2004 only are accepted. d) These criteria represent minimal admissions standards. Therefore, meeting minimal grade point average and test score criteria are no guarantee for admission.

Provisional Admission: Applicants applying to a masters degree program in mathematics with less than the required GPA and GRE or new MAT scores may be considered for provisional admission. They must submit official GRE test scores and must also have a grade point average of at least 2.2. In no event may the grade point average be less than 2.2. Applicants may also be admitted provisionally for reasons other than, or in addition to, grade point average and GRE test scores. Meeting departmental test score and grade point average requirements is no guarantee of admission. Provisional admission is ultimately subject to departmental approval and the Dean of the College of Sciences and mathematics.

The Department of Mathematics Website includes program information, directory of instructors and their credentials, as well as other vital information.

#### Application Deadlines

General admissions deadlines are typically:

- Fall - June 1
- Spring - Nov 15
- Summer - Apr 1

* Application, app fee, and document deadline; Dates may vary for Readmit, Transfer, and Transient students.

See The Scoop for more specific deadlines: http://www.westga.edu/registrar/766.php

Specific **graduate** deadlines are listed here: http://www.westga.edu/gradstudies/important-dates.php

#### Admission Process Checklist

The Graduate Studies Application Process checklist is available here: http://www.westga.edu/gradstudies/apply-now.php

One exception: If you will not ever be traveling to a UWG campus or site, you may apply for an Immunization Exemption. Contact the Immunization Clerk with your request.

#### Contact

**Office of Admissions**Phone: 678-839-5600

Fex: 678-839-4747

Email: admiss@westga.edu

Admissions – Mandeville Hall

University of West Georgia

1601 Maple Street

Carrollton, GA 30118-416

Contact Dr. Nguyen Hoang, Director of Graduate Studies in Mathematics, at nhoang@westga.edu or 678-839-5336 with any other questions.

#### Dates

Specific dates for Admissions (Undergraduate Only), Financial Aid, Fee Payment, Registration, Start/End of Term Dates, Final Exams, etc. are available in THE SCOOP at http://www.westga.edu/registrar/766.php.

Specific Graduate Admissions Deadlines:

#### Learning Objectives

- L1. Develop and evaluate mathematical arguments and proofs.
- L2. Coherently communicate mathematical arguments and research results both orally and in writing.
- L3. Demonstrate alternate ways of approaching problems or mathematical modeling to solve a variety of problems.