## Required Core Courses (23 credit hours):

A student will need to pass all required core and elective courses in the respective specialization with at least a grade of **C-** by the end of the Spring Semester of the second year. The total credits earned from required core and elective courses must be at least **30** semester credit hours. Independent studies, group studies, and research credit hours or hours from unapproved courses not on the lists below do not count towards the total required 30 hours of course work.

**MATH 5101**(3 cr. hrs.) Linear Mathematics in Finite Dimensions**MATH 5152**(3 cr. hrs.) Introduction to Number Theory with Applications**MATH 5201**(5 cr. hrs.) Introduction to Real Analysis I**MATH 5801**(3 cr. hrs.) General Topology and Knot Theory**MATH 5702**(3 cr. hrs.) Curves and Surfaces in Euclidean three-space**Two**of the following courses:**EDUTL 7715**(3 cr. hrs.) Learning Progressions in Mathematics Education**EDUTL 7716**(3 cr. hrs.) Conceptual & Procedural Knowledge in Mathematics Education: Theory, Research, and Controversy**EDUTL 7717**(3 cr. hrs.) Teaching Mathematics**EDUTL 7718**(3 cr. hrs.) Student Learning Processes in Mathematics**EDUTL 7731**(3 cr. hrs.) Multimedia Tools For STEM Education**EDUTL 7732**(3 cr. hrs.) Robotics & Automation for STEM Educators**EDUTL 7741**(3 cr. hrs.) Advanced Study of Learning & Cognition in STEM**EDUTL 7742**(3 cr. hrs.) Knowledge Representations in STEM Learning**EDUTL 7743**(3 cr. hrs.) Curriculum across Secondary and Post-Secondary STEM Education**EDUTL 7744**(3 cr. hrs.) Problem Solving in STEM**EDUTL 7745**(3 cr. hrs.) Classrooom Discourse in STEM Learning**EDUTL 8741**(3 cr. hrs.) History of Curriculum in STEM Education

### Allowed Substitutions of Required Core Courses:

The following substitutions of required core course sequences are allowed with permission of the advisor.

**MATH 5101**&**5152**may be replaced by**MATH 5111**&**5112**(both 5 cr. hr.) or**MATH 6111**&**6112**(both 5 cr. hr.)**MATH 5201**may be replaced by**MATH 6211****MATH 5801**may be replaced by**MATH 6801****MATH 5702**may be replaced by**MATH 6701**

A student may request additional substitutions of required courses. The request should be submitted by the advisor to the Graduate Studies Committee (GSC) for approval.

## Summer Project:

## Elective Courses (7 credit hours):

At least **two** elective courses must be chosen from the list below and must add up to at least 7 credit hours. A student may request to use other courses to satisfy the elective requirement. The request should be submitted by the advisor to the Graduate Studies Committee (GSC) for approval.

- All
**MATH**courses offered at the**5000-Level (including**and*Honors*)**6000-Level*** **STAT 5301**Intermediate Data Analysis I**NOTE:***Students taking this will only have 1 cr. hr. counted for their MMS degree***STAT 5302**Intermediate Data Analysis II**STAT 6201**Mathematical Statistics**STAT 6301**(3 cr. hrs.) Probability for Statistical Inference**STAT 6302**(3 cr. hrs.) Theory of Statistical Analysis**STAT 6801**(4 cr. hrs.) Statistical Theory I**STAT 6802**(4 cr. hrs.) Statistical Theory II- Students cannot get elective credit for both
**MATH 5221**&**5251**(only one will count)

* Not including MATH 6191, 6193, 6999, 7193, 8999.

## Thesis:

By the end of the Autumn semester of the second year each student must have selected a thesis advisor, and submitted an Math Change Advisor 2013 [pdf] to the Graduate Office. The thesis advisor needs to be a mathematics department faculty member of category M level or higher. Typically (but not necessarily) this is the mathematics mentor for the summer internship. Thesis research and writing will occur during the second year, and should be completed at the end of the Spring break of the second year. During this time students should generally be signed up for **MATH 6999** with the supervising Masters Faculty Advisor (Thesis).

**MATH 6999**(1 + cr. hrs.) Graduate Thesis Research

## Thesis Defense & Graduation:

The thesis will be written during the second year under the supervision of the thesis advisor, and prepared in compliance with university rules. The thesis should be completed early during the spring semester. All students are expected to apply to graduate with Masters of Mathematical Sciences (MMS) degree via the Thesis-Option before the second Friday of the spring semester of their second year with the Graduate School. In order to apply a student also has to choose a second member of the examination committee by the beginning of the same semester. This has to be a Graduate Faculty member but may be from anther OSU unit related to the specialization. Typically (but not necessarily) this can be the second mentor of the Summer internship. The Non-thesis Option is not open to MMS students. The oral examination has to be scheduled and passed during the Spring semester of the second year, after submission of a draft of the thesis. An additional written examination is not required. The thesis needs to follow university formatting guidelines, be approved by the committee, and be submitted to the Graduate School and OhioLink.

For further details see Section VI of the Graduate School Handbook.

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