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## Graduate College

## The Graduate College at OSU

The Graduate College is a great resource for information about:

*ITA and TELP tests

*GSSI Tuition Waivers

* The current academic calendar and submission deadlines

## M.S. in Pure Mathematics

**Departmental Requirements for M.S. in Mathematics:****Pure Mathematics**

The Master of Science degree in pure mathematics requires that the student demonstrate knowledge in certain core areas. There are two options. Both options require a student to earn a grade of A or B in 18 hours of core courses.

**Core courses**:

**Option I**:

- Advanced Calculus I and II (MATH 5043 and 5053)
- Modern Algebra I and II (MATH 5003 and 5013)
- General Topology (MATH 5303)
- Complex Variables (MATH 4283)

**Option II**:

- Advanced Calculus I and II (MATH 5043 and 5053)
- Modern Algebra I and II (MATH 5003 and 5013)
- Six hours from the following list: Real Analysis I and II (MATH 5143 and 5153), Complex Analysis I and II (MATH 5283 and 5293), Geometric Topology (MATH 5313) and Algebraic Topology I (MATH 6323), Algebra I and II (MATH 5613 and 5623).

**Elective courses**: Students working towards the M.S. degree in pure mathematics should complete nine hours of course work selected from the following list:

Combinatorial Mathematics (MATH 4663), Number Theory (MATH 4713), Groups and Representations (MATH 4813), Advanced Linear Algebra (MATH 5023), Fourier Analysis and Wavelets (MATH 5213), Partial Differential Equations (MATH 5233), Ordinary Differential Equations (MATH 5243), General Topology (MATH 5303), Geometric Topology (MATH 5313), Numerical Analysis for Differential Equations (MATH 5543), Numerical Analysis for Linear Algebra (MATH 5553), Algebra I (MATH 5613), Algebra II (MATH 5623), Algebraic Topology I (MATH 6323).

**Alternative course selections**:

· Courses taken as an undergraduate can be used to satisfy requirements for core and elective courses as long as they are consistent with the Graduate College requirements.

· Substitutions for any of the nine hours of electives requires consent from the Graduate Committee. In no case may more than nine hours outside the mathematical sciences (mathematics, statistics, or computer science) be counted toward the M.S. degree.

**Courses taken in graduate school**: The courses taken in graduate school must total 32 hours, which may include two hours for a Master's report. If a student elects to write a thesis, the minimum number of hours is reduced to 30. The courses taken on the M.S. degree program must include 21 hours of courses in the mathematical sciences numbered 5000 or above. All the courses for the M.S. degree program must constitute a coherent whole and must be approved by the student's advisory committee.

Creative component, report, or thesis: Each student must complete a creative component, report, or thesis. Under any of these three options, a written document and a public presentation based on this individually directed project is required.

Other requirements: The university catalog contains detailed procedures applicable to all Master's degrees.

## M.S. in Mathematics Education

**Departmental Requirements for M.S. in Mathematics:****Mathematics Education**

The Master of Science degree with specialization in mathematics education requires that the student demonstrate knowledge in certain core areas.

**Core course requirements**: All candidates for the M.S. degree wirh specialization in mathematics education must earn a grade of A or B in a prescribed 18 hours from the following list of core courses.

**Basic areas**:

Nine hours total from the following courses, with three hours from courses listed in each of the following areas:

**Analysis**: Advanced Calculus I (MATH 5043)**Algebra/Number Theory**: Three hours from any of Modern Algebra I (MATH 5003), Number Theory (MATH 4713), Modern Algebra II (MATH 5013), Advanced Linear Algebra (MATH 5023)**Mathematics Education**: Introduction to Research in Mathematics Education (MATH 5913)

**Topical areas**:

Nine hours total from the following courses, with six hours in one of these areas and three hours in another:

**Discrete Mathematics/Computer Science**: Numerical Analysis (MATH 4513), Linear and Nonlinear Programming (MATH 4553), Combinatorial Mathematics (MATH 4663), Numerical Analysis for Differential Equations (MATH 5543), Numerical Analysis for Linear Algebra (MATH 5553), Data Structures and Algorithm Analysis I (CS 4343), Artificial Intelligence I (CS 4793), Computer Science Migration (CS 4154)**Geometry**: Groups and Representations (MATH 4813), Differential Geometry (MATH 5413), Computer Graphics (CS 4143)**Statistics**: Applied Regression Analysis (STAT 4043), Probability Theory (STAT 5123), Statistical Inference (STAT 5223), Statistics for Experimenters I (STAT 5013), Statistics for Experimenters II (STAT 5023), Sample Survey Designs (STAT 5043), Multivariate Methods (STAT 5063), Experimental Design (STAT 5303)

**Note on prerequisites**: It is assumed that students will have already completed the equivalent of Introduction to Modern Algebra (MATH 3613), Introduction to Modern Analysis (MATH 4023), Geometry (MATH 4403), and Statistical Methods I (STAT 4013), thereby providing a sound foundation for graduate study. Courses taken as an undergraduate can be used to satisfy the above requirements, as long as they are consistent with the Graduate College requirements.

Courses outside the Mathematics Department other than those listed above must be approved by the student's advisory committee.

**Courses taken in graduate school**: The courses taken in graduate school must total at least 32 hours, which may include two hours for a Master's report. If a student elects to write a thesis, the minimum number of hours is reduced to 30. The courses taken on the M.S. degree program must include at least 21 hours of courses numbered 5000 or above, of which 20 hours must be from the mathematical sciences (mathematics, statistics, or computer science). No more than six hours outside the mathematical sciences will count towards the M.S. degree. All the courses on the M.S. degree program must constitute a coherent whole and must be approved by the student's advisory committee.

Creative component, report, or thesis: Each student must complete a creative component, a report, or a thesis. Under any of these three options, a written document and a public presentation based on this individually directed project is required.

Teaching experience: Any student in this program who is also a Teaching Assistant in the Department of Mathematics is encouraged to work with the Associate Head in designing a broad spectrum of teaching assignments.

Other requirements: The university catalog contains detailed procedures and requirements applicable to all Master's degrees.