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Course descriptions
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Masters theses
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Mathematics, Master of Science
This advanced program of study offers students a choice between a thesis and an extended coursework option. This advanced degree allows students to explore the discipline of mathematics to meet their personal goals.
Requirements Accordion Open
To receive a master’s degree at Northern Arizona University, you must complete a planned group of courses from one or more subject areas, consisting of at least 30 units of graduate-level courses. Many master’s degree programs require more than 30 units.
You must additionally complete:- All requirements for your specific academic plan(s). This may include a thesis.
- All graduate work with a cumulative grade point average of at least 3.0.
- All work toward the master's degree must be completed within six consecutive years. The six years begins with the semester and year of admission to the program.
Read the full policy .
Overview Accordion Closed
In addition to University Requirements:
- Complete individual plan requirements.
| Minimum Units for Completion | 34 - 37 |
| Additional Admission Requirements | Individual program admission requirements over and above admission to NAU are required. |
| Fieldwork Experience/Internship | Optional |
| Thesis | Thesis may be required by chosen emphasis or offered as an option. |
| Comprehensive Exam | Comprehensive Exam may be required by chosen emphasis or offered as an option. |
| Oral Defense | Oral Defense may be required by chosen emphasis or offered as an option. |
| Research | Individualized research may be required by chosen emphasis or offered as an option. |
| Progression Plan Link |
Purpose Statement
The MS Mathematics degree program provides students the content knowledge, as well as abstract reasoning and communication skills, which constitute a broad foundation in graduate-level mathematics.Ìý This foundation illuminates the inter-connection between different branches of mathematics and is the theoretical basis for validating and critically assessing the mathematical principles and methods necessary for continued studies in mathematics beyond the master's degree or for work that graduates may perform in industry, education or government agencies.
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Student Learning Outcomes
- Graduates will demonstrate breadth and depth of knowledge in graduate-level mathematics.
- Graduates will have acquired a broad theoretical knowledge in mathematics, particularly in the areas of Analysis, Linear Algebra, and Abstract Algebra, which are central to advanced studies in mathematics.
- For the Comprehensive Examination option, graduates will demonstrate mastery in a focused and approved selection of three mathematical areas by successfully completing a comprehensive oral examination in these areas administered by a committee of the mathematics/statistics faculty.
- For the Thesis option, graduates will demonstrate mastery in a focused area of mathematics and the ability to conduct independent inquiry by completing a substantial thesis in this area and defending it in front of a committee of the mathematics/statistics faculty.
- Graduates will demonstrate the profound skills of logical mathematical reasoning which at the graduate level encompasses high degrees of abstraction and complexity.
- Graduates will be able to read and synthesize complex formal mathematical arguments.
- Graduates will be proficient in the independent writing of elegant proofs of significant length or complexity and in the skeptical assessment of the argumentation of others.
- Graduates will be able to use acquired reasoning skills to read and interpret advanced mathematical literature (textbooks, journals, papers, etc.) to continue independent learning.
- Graduates will have developed the creativity and intuition necessary for positing conjectures and deducing mathematical facts by applying established mathematical knowledge and reasoning in novel situations.
- Graduates will communicate mathematics effectively in preparation for careers in the corporate sector, government agencies, or education or for continued graduate studies.
- Graduates will be able to precisely communicate advanced mathematical principles and ideas with clarity and coherence, both written and verbally, demonstrating communication skills to be used in any future career.
- Graduates will productively and creatively collaborate with peers or faculty to posit conjectures and work on mathematical problems of significant complexity demonstrating cooperative working skills to be used in any future career.
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Details Accordion Closed
Graduate Admission Information
The NAU graduate online application is required for all programs. Admission to many graduate programs is on a competitive basis, and programs may have higher standards than those established by the Office of Graduate and Professional Studies.
Admission requirements include the following:- Transcripts.
- Undergraduate degree from a regionally accredited institution with a 3.0 GPA on a 4.0 scale ("A" = 4.0), or the equivalent.
Visit the for additional information about graduate school application deadlines, eligibility for study, and admissions policies.
Ready to apply? Begin your now.International applicants have additional admission requirements. Please see the .
Additional Admission Requirements
Individual program admission requirements over and above admission to NAU are required.
- Letter(s) of Recommendation or Reference(s)
- Name, title, and contact information for three professional references.
- Personal Statement or Essay
- Prerequisite(s) that must be completed prior to enrolling in the program:
- At least 27 hours of undergraduate mathematics and statistics coursework at the level of calculus and above with a grade of C or better, and have at least a 3.0 grade point average in these courses.
- The 27 credit hours must include coursework in multivariable calculus, linear algebra, real analysis (advanced calculus), and abstract algebra.
- List of courses taken in the field with titles/authors of textbooks used.
Master's Requirements
This Master's degree requires 34 - 37 units distributed as follows:
- Required Common Courses: 13 units
- Comprehensive Exam or Thesis Option - Select One: 21 - 24 units
- Comprehensive Exam Option: 21 units
- Thesis Option: 24 units
Take the following 34 - 37 units:
Required Common Courses (13 units)
- , , , , , (13 units)
- Comprehensive Exam Option or Thesis Option - Select One (21 - 24 units)
Comprehensive Exam Option (21 units)
- In consultation with your advisor,Ìýchoose electives from the following list.ÌýAt least 15 units must be formal, letter-graded coursework. (21 units)
- , , ,, , , , , , , , ,
- , Ìý
- Perform satisfactorily on a comprehensive final oral exam conducted by your advisory committee.
- In consultation with your advisor,Ìýchoose electives from the following list.ÌýAt least 15 units must be formal, letter-graded coursework. (21 units)
Thesis Option (24 units)
- In consultation with your advisor, choose electives from the following list. At least 9Ìýunits must be formal, letter-graded coursework. (18 units):
- , , , , , , , , , , *, ,
- ,
- , for the research, writing, and oral defense of an approved thesis. Please note: You may end up taking more than the 6 units of thesis credit you can count toward your degree because you must register for it each semester while you are working on your thesis. (6 units)
- In addition, you must complete the following:
- Have a mathematics faculty member serve as your thesis advisor.
- Get your research committee's approval of you specific thesis plan.
- Perform satisfactorily on an oral defense of the thesis conducted by your research committee.
- In consultation with your advisor, choose electives from the following list. At least 9Ìýunits must be formal, letter-graded coursework. (18 units):
Additional Information
Some courses may have prerequisites. For prerequisite information, click on the course or see your advisor.
Master of Science in Mathematics
Do you want to know how and why mathematics is applied in our society?Ìý Or perhaps the theories and thinking behind algorithms, equations and methods?Ìý This degree will provide you training in both the theory and application of mathematics.Admission requirements Accordion Closed
You must have completed at least 27 credit hours of undergraduate mathematics coursework at the level of calculus and above with a grade of C or better, and have at least a 3.0 grade point average in these courses.
The 27 credit hours must include coursework in linear algebra, real analysis (advanced calculus), and abstract algebra.
Degree details Accordion Closed
This program must be completed under the thesis or comprehensive exam plan, as described in theÌý.
Comprehensive Exam plan Accordion Closed
For this 34-unit program, you must:
- Complete 34 units of coursework as described on the Program of Study.
- Perform satisfactorily on a comprehensive final oral exam conducted by your advisory committee; for more details, see the Graduate Handbook.
Thesis plan Accordion Closed
For this 37-unit program, you must:
- Complete 31 units of coursework as described on the Program of Study.
- Complete at least 6 units of MAT 699: Thesis; for more details, see the Graduate Handbook.
- Have a mathematics faculty member serve as your thesis adviser.
- Get your research committee's approval of your specific thesis plan.
- Perform satisfactorily on an oral defense of the thesis conducted by your research committee.
Additional information Accordion Closed
Find more details for each degree plan within theÌýProgram of Study.
If you have specific questions about our graduate programs, please e-mail theÌýGraduate Coordinator.
Apply
To apply to the MS Mathematics program, review the application process.