# Info.sjsu.edu

### Mathematics and Statistics Department

### MS - Mathematics

This degree is the recommended degree for future community college teachers. It is also the appropriate degree for students who seek to deepen their knowledge of mathematics for work in the research and development area of industry or who plan to continue toward the PhD.

### Requirements for Admission to Classified Standing

To enter this program with classified standing, a student must meet the minimum requirements for admission to the Graduate Division; have completed 24 semester units of upper-division mathematics with a grade point average of at least 3.0; and have 1-3 letters of recommendation submitted on his or her behalf. The course work must be acceptable toward a bachelor's degree in mathematics and may not be counted toward the MS degree.

### Requirements for Admission to Conditionally Classified Standing

A student who meets the minimum requirements for admission to the Graduate Division but does not satisfy the mathematics course work requirements stated above may be admitted as conditionally classified with as few as 15 semester units of upper-division mathematics. After arrival at SJSU, the student must complete additional course work to make up the deficiency in order to obtain classified status.

### Requirements for Admission to Candidacy for the MS - Mathematics

To be admitted to candidacy for the MS degree, a student must meet the all-university admission requirements as stated in this catalog. The University requires that all graduate students demonstrate competency in written English as a condition for advancement to candidacy. Please refer to the SJSU catalog section titled "Competency in Written English" for details. For graduate courses that meet the competency in written English requirement, please refer to the Graduate Admissions and Program Evaluations (GAPE) website at www.sjsu.edu/gape. Students must satisfy the following Mathematics and Statistics Department requirements:

1. The student, with the assistance of the Graduate Coordinator, finds a Department faculty member willing to serve as a thesis or writing project director. With that director's help, the student chooses a topic for the thesis or writing project.

2. The student must pass a Qualifying Examination--oral or written at the student's election--that covers material generally relevant to the area of the proposed thesis or writing project. Specific details about the material to be covered will be determined in consultation with the three-person committee of faculty members who will examine the student. Note: students must pass this Qualifying Examination before they may begin formal work on a thesis or writing project.

3. The student must complete the Petition for Advancement to Graduate Candidacy form. This form lists, among other things all the course work to be counted toward the master's degree. After the form has been signed by the student's thesis or writing project director and the Graduate Coordinator, it is forwarded to the Associate Vice President for Graduate Studies and Research for final approval. Any subsequent changes to the student's program require approval from GAPE.

### Completing Requirements for the MS - Mathematics

### Plan A (with Thesis)

As noted above, the student must choose a thesis director, who then becomes his or her advisor. A committee consisting of the director and two professors selected by the director, with the approval of the Graduate Curriculum Committee, must approve the thesis topic before work begins. The topic must be in the field of mathematics (not in the field of mathematics education). The student must register for MATH 299 typically in the semester in which he or she expects to complete the thesis. Upon completion of the thesis, the student must give a public presentation on the thesis, which is followed by an oral examination (thesis defense) conducted by the thesis committee.

### Plan B (with Writing Project)

Plan B differs from Plan A only in the following respect: MATH 299, Thesis, is replaced by MATH 298, Special Study. The student must write a formal paper, substantially similar, in form and content, to a thesis.

The procedure and requirements for this paper will be the same as for a thesis except that the paper will not be filed with the Associate Vice President for Graduate Studies and Research. A bound copy must be filed with the department. As with a thesis, upon completion of the writing project, the student must give a public presentation on the project; the presentation is followed by an oral examination (defense) conducted by the writing project committee.

### Electives

The elective units may include a maximum of 3 units of MATH 180 and/or MATH 298. They must be in 100- or 200-level courses from the Mathematics and Statistics Department, except in the following circumstances: a student who has completed 24 units of upper division mathematics courses (acceptable toward a BA - Mathematics) before beginning his or her master's program may take a maximum of 6 units (related to mathematics and with prior department approval) outside the field of mathematics. See restrictions. Education courses applied toward the single subject credential may not be applied toward the degree. MATH 101, MATH 102, MATH 105, MATH 106, MATH 107A, MATH 107B, MATH 123, MATH 129A, MATH 133A, MATH 160, MATH 201A, MATH 201B and MATH 297 are also not applicable toward the M.S. degree.

Course Requirements | |||||

Graduate Competency in Writing | 0 | ||||

At SJSU, students must pass the graduate competency in writing requirement. For information on the Competency in Writing Requirement, please see http://info.sjsu.edu/gcw.html. | |||||

Requirements of the Masters | 30 | ||||

Required Core Courses | 18 | ||||

Must include a one-year sequence. | |||||

Complete eighteen units from: | |||||

MATH 211A. Geometry of Projective Spaces | 3 | ||||

MATH 211B. Advanced Topics in Geometry | 3 | ||||

MATH 213A. Introduction to Smooth Manifolds | 3 | ||||

MATH 213B. Introduction to Riemannian Geometry | 3 | ||||

MATH 221A. Higher Algebra I | 3 | ||||

MATH 221B. Higher Algebra II | 3 | ||||

MATH 226. Theory of Numbers | 3 | ||||

MATH 229. Advanced Matrix Theory | 3 | ||||

MATH 231A. Real Analysis | 3 | ||||

MATH 231B. Functional Analysis | 3 | ||||

MATH 233A. Applied Mathematics I | 3 | ||||

MATH 233B. Applied Mathematics II | 3 | ||||

MATH 234. Advanced Dynamical Systems | 3 | ||||

MATH 235. Wavelets and their Applications | 3 | ||||

MATH 238. Advanced Complex Variables | 3 | ||||

MATH 243A. Advanced Numerical Analysis | 3 | ||||

MATH 243B. Advanced Topics in Numerical Analysis | 3 | ||||

MATH 243M. Numerical Linear Algebra | 3 | ||||

MATH 258. Categorical Data Analysis | 3 | ||||

MATH 259. Sampling Design and Analysis | 3 | ||||

MATH 261A. Regression Theory and Methods | 3 | ||||

MATH 261B. Design and Analysis of Experiments | 3 | ||||

MATH 263. Stochastic Processes | 3 | ||||

MATH 265. Time Series Theory and Methods | 3 | ||||

MATH 266. Survival Analysis | 3 | ||||

MATH 271A. Mathematical Logic | 3 | ||||

MATH 271B. Advanced Mathematical Logic | 3 | ||||

MATH 275A. Topology | 3 | ||||

MATH 275B. Advanced Topics in Topology | 3 | ||||

MATH 279A. Graph Theory | 3 | ||||

MATH 279B. Advanced Graph Theory | 3 | ||||

MATH 285. Advanced Topics in Mathematics | 3 | ||||

Electives | 9 | ||||

Culminating Experience | 3 | ||||

Plan A | |||||

MATH 299. Master's Thesis | 3 | ||||

Plan B | |||||

MATH 298. Special Study | 3 | ||||

Total Units: | 30 | ||||