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MATHEMATICS


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Contact: Graduate Program Director

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Application Deadlines:
For domestic classified status, the deadline is approximately a month before the start of classes (Definite dates are on the application itself). International students, please see the FAQs #16 for your deadline. NOTE: If you are a new graduate student and you intend to apply for a Competitive Graduate Award (CGA), the deadline for having all of your application materials turned in moves up to January 15th. If you apply for the CGA but your SIUE application is incomplete, your application for the Competitive Graduate Award will be removed from consideration.

MASTER OF SCIENCE

The Department of Mathematics and Statistics offers graduate work leading to the Master of Science degree in mathematics. The curriculum offers opportunities for advanced studies in mathematics, operations research, statistics, or computational and applied mathematics. Students can prepare for positions in business, government and industry, for secondary school or community college teaching, or for advanced work leading to the Ph.D. degree in various areas in or related to the mathematical sciences.

The MS program in Mathematics offers specializations in the following areas: (1) Pure Mathematics, (2) Statistics and Operations Research, (3) Computational and Applied Mathematics, and (4) Postsecondary Mathematics Education. Students must select one of these specializations for their program of study. Entering students are assigned advisors by the director of the graduate program. The adviser helps design a program of study suited to the individual's background and needs.

The computational and applied mathematics specialization may be of interest to students with undergraduate majors in mathematics, computer science, engineering, or physics, who need to use computers to solve industrial and scientific problems. Graduates choosing this specialization receive training in the formulation of mathematical solutions to industrial orscientific problems and the development and implementation of algorithms for the solution of such problems.

The Department of Mathematics and Statistics, in conjunction with the Department of Curriculum and Instruction in the School of Education, also provides course work supporting the Master of Science in Education degree in secondary education with a teaching field in mathematics. Teachers interested in advanced course work in mathematics, but not necessarily in a degree program, should contact either the Department of Mathematics and Statistics or the Department of Curriculum and Instruction.

ADMISSION

To be considered for admission to a graduate program in the Department of Mathematics and Statistics, applicants should have an undergraduate background that includes MATH 150, 152, 223, 250, and 321, or their equivalents. Applicants must also have a grade point average of at least 2.7 (A=4.0) in mathematics and statistics courses. It is recommended that students in the computational and applied mathematics or statistics and operations research specializations have a working knowledge of algorithmic programming language. It is also recommended that students in the theoretical mathematics or computational and applied mathematics specializations have a course in real analysis equivalent to MATH 350 at SIUE. A brief statement of educational and career goals and interests, together with any supporting documents and a description of any special qualifications or relevant professional experience, should be submitted directly to the graduate program director in the Department of Mathematics and Statistics. In some cases, applicants who meet the requirements for admission to the Graduate School, but do not have the required background in mathematics as indicated above, may register as unclassified graduate students until deficiencies have been satisfied to permit admission to degree-seeking status.

PROGRAM OF STUDY

The program of study requires a minimum of 30 semester hours of graduate credit, at least 15 of which must be at the 500-level. Students must maintain an overall grade point average of 3.0 for all courses taken in the program. Students pursuing a double major must complete all required courses in one of the options below. Six to nine hours of the electives may be waived for students who complete a double major. These students must complete at least nine hours of 500-level mathematics, statistics or operations research courses, not counting the thesis or research paper. Distribution of hours is as follows:

Pure Mathematics

Required courses (18 hours): MATH 421, 437, 450, 451, and any two of 520, 545, 550, or 555.

Electives (6 to 9 hours): Electives may be selected from 400- or 500-level mathematics, statistics, or operations research courses.

Thesis or research paper (3 to 6 hours): MATH, STAT, or OR 599 (Thesis) or MATH, STAT, or OR 595 (Special Project). Students in the pure mathematics specialization may substitute additional 500-level course work for the thesis or research paper to complete the 30-hour requirement for the degree. Students who select this course option must pass a comprehensive exam covering three 500-level MATH, STAT, or OR courses chosen jointly by the student and adviser.

Statistics and Operations Research

Required courses (18 hours): STAT 480a, 480b, OR 440, and either OR 441 or OR 442. One of the following two-semester sets of courses is required: STAT 581, 582; STAT 584, 588; STAT 579, 589; OR 587a, 587b; OR 585, 586.

Electives (6 to 9 hours): Electives may be selected from 400- or 500-level mathematics, statistics, or operations research courses.

Thesis or Research Paper (3 to 6 hours): MATH, STAT, or OR 599 (Thesis), or MATH, STAT, or OR 595 (Special Project). Students in the Statistics and Operations Research specialization may substitute additional course work for the thesis or research paper to complete the 30-hour requirement for the degree. Students who select this course option must pass a comprehensive exam covering three 500-level MATH, STAT, or OR courses chosen jointly by the student and adviser.

Computational and Applied Mathematics

Required Courses (18 hours): MATH 421, 450, 464, and either 465 or 466, either 545 or 555, and either 552 or 565.

Electives (6 to 9 hours): Electives may be selected from 400- and 500-level mathematics, statistics, or operations research courses. MATH 550 and 567, STAT 575, and OR 587ab are recommended.

Thesis or research paper (3 to 6 hours): MATH 599 (Thesis), or MATH 595 (Special Project). Students in the computational and applied mathematics specialization may substitute additional 500-level course work for the thesis or research paper to complete the 30-hour requirement for the degree. Students who select this course option must pass a comprehensive exam covering three 500-level MATH, STAT, or OR courses chosen jointly by the student and adviser.

The 400-level required courses are waived for students who have completed these courses as undergraduates, although graduate credit cannot be given for courses taken as an undergraduate.

Postsecondary Mathematics Education

Students must complete the requirements in Groups A, B, C, D, and E.

Group A: Three courses selected from the following:

MATH 420, 421, 423, 435, 437, 450, 451, 464, 465, 466, OR 440, STAT 480A, 480B, 482.

Group B: Two courses selected from the following:

MATH 531 - Algebraic Content, Pedagogy and Connections
MATH 532 - Geometric Content, Pedagogy and Connections
MATH 533 - Discrete Mathematics Content, Pedagogy and Connections
MATH 590d - Seminar: Calculus Content, Pedagogy and Connections
STAT 590 - Seminar: Probability and Data Analysis Content, Pedagogy and Connections

Group C: Two MATH/STAT/OR electives selected from 500-level MATH, STAT, or OR courses, excluding courses from Group B above.

Group D: Two courses selected from the following:

EPFR 501 - Research Methods
EPFR 515 - Advanced Educational Psychology
CI 510 - Analysis of Instruction
CI 562 - The Secondary School Curriculum

GROUP E: MATH, STAT, or OR 599 (Thesis), or MATH, STAT or OR 595 (Special Project), or option of substituting additional 500-level course work in MATH, STAT or OR, excluding courses from Group B. Students who select this option must pass a final exam covering two 500-level MATH, STAT, or OR courses from Group C and the additional course from Group E.

EXIT REQUIREMENTS

For students who complete a thesis or research paper, the final examination consists of an oral presentation based on the content of the thesis or research paper. The examination is administered by the student's advisory committee, which includes the student's research adviser and two other members of the graduate faculty. For those students who select additional course work in lieu of a thesis or research paper, the final exam covers the content from three 500-level MATH, STAT, or OR courses chosen jointly by the student and adviser.

PROFESSIONAL DEVELOPMENT SEQUENCES IN MATHEMATICS

The Department of Mathematics and Statistics offers seven Professional Development Sequences. These PDSs are described below in the section "Program of Study." Each of these PDSs is designed to give students a thorough grounding in one particular subject in mathematics, statistics, or operations research.

ADMISSION

Graduate students who are officially admitted to, and in good standing with, the Graduate School may enroll in a PDS in the Department of Mathematics and Statistics provided they have the approval of the Graduate Program Director. Students enrolled in a PDS need not be graduate students in the Department of Mathematics and Statistics and they may have the status of "unclassified graduate student." Students are expected to have completed all courses that are prerequisites to the required courses in the PDS.

PROGRAM OF STUDY

The programs of study of the PDSs are as follows:

1. Quality and Reliability

STAT 484 Reliability Engineering
STAT 488 Design and Control of Quality Systems
STAT 584 Reliability Theory
STAT 588 Advanced Quality Control

2. Design and Analysis of Experiments

STAT 480a,b Mathematical Statistics
STAT 481 Design and Analysis of Experiments
STAT 581 Advanced Experimental Design

3. Applied Statistics

STAT 478 Time Series Analysis
STAT 481 Design and Analysis of Experiments
STAT 482 Regression Analysis
STAT 483 Sample Surveys

4. Mathematical Programming

OR 440 Deterministic Models
OR 587a,b Mathematical Programming

5. Simulation

OR 442 Simulation
OR 585 Simulation Theory
OR 586 Simulation Modeling and Languages

6. Numerical Analysis

MATH 465 Numerical Analysis
MATH 466 Numerical Linear Algebra with Applications
MATH 565 Advanced Numerical Analysis

7. Differential Equations

MATH 464 Partial Differential Equations
MATH 465 Numerical Analysis
MATH 552 Theory of Ordinary Differential Equations
MATH 567 Topics in Applied Mathematical Analysis

MASTER OF SCIENCE IN EDUCATION

CURRICULUM AND INSTRUCTION with a specialization in

SECONDARY EDUCATION/MATHEMATICS

The Department of Mathematics and Statistics, in cooperation with the Department of Curriculum and Instruction, offers a mathematics teaching field as part of the Master of Science in Education (MSEd) degree in curriculum and instruction. A jointly advised program, ordinarily including 15 hours in mathematics, will be designed, taking into account each student's background and interests. Throughout the program, students must consult with the graduate program adviser in the Department of Mathematics and Statistics before registering for any mathematics courses. Upon completion of the program, students must have accumulated at least 42 semester hours in mathematics (graduate and undergraduate course work combined). Thus, students admitted to the program with less than 27 hours of acceptable undergraduate work will be required to complete more than 15 graduate hours in the mathematics teaching field in order to satisfy degree requirements. Students must achieve a 3.0 (A=4.0) grade point average in mathematics course work, as well as an average of 3.0 in all course work. For further information, see "Curriculum and Instruction" in another section of this chapter.

COMBINED PROGRAM LEADING TO BACHELOR OF SCIENCE / MASTER OF SCIENCE DEGREE IN MATHMATICS (3 + 2 PROGRAM)

The Department of Mathematics and Statistics offers a five-year program leading to the Bachelor of Science (BS) and the Master of Science (MS) degrees. Students with at least 90 semester hours and an overall grade point average of 3.0 (A=4.0) in mathematics, engineering, and physical science courses may be admitted to the BS/MS program that allows them to earn graduate level credit (400- and 500-level) during their combined fourth and fifth years. No course can be counted for both graduate and undergraduate credit.

An application for degree-seeking status as a graduate student must be approved by the Graduate School and the Graduate Admissions Committee in Mathematics. A program outline must also be submitted for approval by the graduate program director in mathematics prior to enrollment in any courses to be included as a part of the master's program. Official admission to the graduate program and the status of classified graduate student is made only after the award of baccalaureate degree. In no case will a graduate degree be conferred before all requirements for both degrees have been completed.