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### Mathematics and Statistics Department

### MA - Mathematics

This degree is recommended for future community college teachers and for students who plan to continue toward the PhD in mathematics.

### Requirements for Admission

Candidates must meet all the university admissions requirements. Students can be admitted in either classified or conditionally classified standing. If an applicant's preparation for advanced graduate work is considered inadequate to meet the course prerequisites or other departmental requirements, the conditions will include taking preparatory courses to meet these requirements. Such courses will not count as part of the master's degree program requirements.

Applicants from countries in which the native language is not English must achieve a minimum English-language proficiency test score as indicated on the Graduate Program Test Requirements webpage at GAPE.

### Classified Standing

To enter this program with classified standing, a student must meet the minimum requirements for admission to the Graduate Division, have completed 18 semester units of upper-division mathematics with a GPA of at least 3.0, and have 1-3 letters of recommendation submitted on his or her behalf. The coursework must be acceptable toward a bachelor's degree in mathematics and may not be counted toward the MA degree.

### Conditionally Classified Standing

A student who meets the minimum requirements for admission to the Graduate Division but does not satisfy the mathematics coursework requirements stated above may be admitted as a conditionally classified student. Eligibility is determined on a case-by-case basis. After arrival at SJSU, such a student must complete additional coursework to make up the unit deficiency in order to achieve classified status. These make-up units will not be included in the MA degree unit requirement total.

### Requirements for Advancement to Graduate Candidacy

To advance to candidacy in the MA in Mathematics degree, a student must meet the university candidacy requirements, as stated in this catalog. The university requires that all graduate students complete the Graduation Writing Assessment Requirement (GWAR) as a condition for advancement to candidacy. Please refer to the SJSU catalog section titled "Graduation Writing Assessment Requirement" for details. For graduate courses that meet the GWAR, please refer to the Graduate Admissions and Program Evaluations (GAPE) website at www.sjsu.edu/gape.

Thesis/Writing Project students must have their thesis/project committees (see below) in place before filing for candidacy.

The student must complete the Petition for Advancement to Graduate Candidacy form. This form lists, among other things, all the coursework to be counted toward the master's degree. After the form has been signed by the student's thesis or writing project director (if applicable) and the Graduate Coordinator, it is forwarded to GAPE for final approval. Any subsequent changes to the student's program require approval from GAPE.

### Requirements for Graduation

### University Graduation Requirements

Students must complete all residency, curriculum, unit, GPA, and culminating experience requirements as outlined in the Graduation Requirements section of the Graduate Policies and Procedures.

### MA - Mathematics Graduation Requirements

**Culminating Experience**

Students choose either the Comprehensive Examination option or the Thesis/Writing Project option.

(1) Comprehensive Examination Option

(a)%09Students who elect this option must pass two written comprehensive examinations. One examination will be in either Algebra (221A/B) or Analysis (131A, 231A/B). The second exam will be in one of the following: Algebra (221A/B), Analysis (131A, 231A/B), Number Theory (226), Linear Algebra (229), Complex Analysis (238), Topology (275A), or Graph Theory (279A).

(b) Specific exam options are chosen by the student.

(c) Students must enroll in MATH 298E in conjunction with taking the exams. The student will receive credit when both exams are passed. Students who do not pass both exams during the semester in which they are enrolled in MATH 298E will receive a grade of "RP" for that course. If all other degree requirements have been completed, students must subsequently sign up for MATH 1290R in compliance with university regulations until both exams have been passed.

(2) Thesis or Writing Project Option

(a) A student who elects this option must find a willing thesis/writing project advisor and complete a thesis or writing project under that advisor's supervision. The thesis or writing project must be reviewed and approved by a Thesis/Writing Project Committee composed of the advisor and two other faculty members chosen by the student in consultation with the advisor. The student must give a public presentation on the thesis or writing project, which is followed by an oral examination (thesis/writing project defense) conducted by the committee. Theses must be filed with the Associate Dean of Graduate Studies, subject to the rules and deadlines established by the Office of Graduate and Undergraduate Programs.

(b) Thesis students must enroll in MATH 299: Master's Thesis; Writing Project students must enroll in MATH 298: Special Study. The student receives credit when the thesis/writing project is completed, successfully defended, and all committee members have signed off on the thesis/project. Students who do not complete their theses during the semester in which they are enrolled in MATH 299 (MATH 298 for writing projects) will receive a grade of "RP" for that course. If all other degree requirements have been completed, students must subsequently sign up for MATH 1290R in compliance with university regulations until the thesis/writing project is completed and defended.

Course Requirements | |||||

Graduation Writing Assessment Requirement | |||||

At SJSU, students must pass the Graduation Writing Assessment Requirement (GWAR). For information on the GWAR, please see http://info.sjsu.edu/gcw.html. | |||||

Requirements for the Masters | 33 | ||||

Core Courses | 12 | ||||

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

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

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

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

Complete two courses from: | |||||

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

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

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

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

Electives | 6 | ||||

Complete two courses from: | |||||

MATH 203. Applied Mathematics, Computation, and Statistics Projects | 3 | ||||

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

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

MATH 233A. Applied Mathematics I | 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 261A. Regression Theory and Methods | 3 | ||||

MATH 263. Stochastic Processes | 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 | ||||

MATH 297A. Preparation for Writing Project, Research Project or Thesis | 3 | ||||

Additional Electives | 6 | ||||

Complete two 100-level or 200-level courses with consent of advisor (the courses may include a maximum of 3 units of MATH 280 and/or MATH 297). | |||||

Courses excluded: MATH 100W, MATH 101, MATH 102, MATH 105, MATH 106, MATH 107A, MATH 107B, MATH 110L, MATH 123, MATH 129A, MATH 133A, MATH 160, MATH 201A, MATH 201B, MATH 297. | |||||

Culminating Experience | 3 | ||||

Complete one option (Plan A Thesis, Plan B Writing Project, or Plan B Comprehensive Exam): | |||||

Plan A (Thesis) | |||||

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

Oral Presentation | |||||

Oral Defense | |||||

Plan B (Writing Project) | |||||

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

Oral Presentation | |||||

Oral Defense | |||||

Plan B (Comprehensive Exam) | |||||

MATH 295E. Mathematics Comprehensive Exam Preparation | 3 | ||||

Comprehensive Exam | |||||

Total Units: | 33 | ||||

The maximum number of upper-division undergraduate units that can be applied toward the master's degree is 6.

Upon completion of the degree requirements, the student must have achieved minimum candidacy and SJSU cumulative grade point averages of 3.0 in order to graduate.