University of Puerto Rico    (787) 764 0000
    DEPARTMENT OF MATHEMATICS
    DEPARTMENT OF MATHEMATICS

    MS Degree

    Degree of M.S. in Mathematics

    Requirements

    Information concerning the degree of MA can be found in the Graduate Program Rules (2011). The following is a brief summary of the degree requirements:

    Candidates for the MA degree will be required to take at least 30 credits in courses: 12 credits for the core courses of the first year.

    Pure Mathematics Option

    Credit Total: 30

    Course Title Crs.
    MATH 6201 Modern Algebra 3
    MATH 6261 Real Variables I 3
    MATH 6301 Complex Variables 3
    MATH 6540 Introduction to Topology 3
    MATH 6800 Graduate Seminar 3
    MATH 6996 Thesis 3
    Elective courses1 12

    1Electives must be chosen so as to complete a minimum of one of the following two-semester sequences: MATH 6201-6202, MATH 6261-6262, MATH 6540-6551. The remaining credits are taken in courses chosen under guidance.

    Applied Mathematics Option (30 credits)

    Credit Total: 30

    Course Title Crs.
    MATH 6601 Probability and Statistics I 3
    MATH 6681 Data Structures I 3
    MATH 6680 Computational Analysis
    or MATH 6881 Linear Programming
    or MATH 6882 Nonlinear Programming 3
    MATH 6700 Projects in Applied Mathematics 3
    MATH 6996 Thesis 3
    Elective courses1 15

    1Electives must be chosen so as to complete a minimum of one of the following two-semester sequences: MATH 66011-6602, MATH 6681-6682, MATH 6680-6681 or 6882. The remaining credits are taken in courses chosen under guidance.

    Masters Seminar

    Beginning with the third year, MS students will be required to register in a master’s seminar. Students in the Pure Mathematics option must register in MATH 6800. Students in the Applied Mathematics option must register in MATH 6700.

    Qualifying Exams

    Students must take one (1) written qualifying examination. This exam will test basic knowledge in areas determined by their chosen option,

    1. Students of the Pure Math option will take a combined exam in Modern Algebra (MATH 6201) and Real Analysis (MATH 6261)–Syllabus.
    2. Students of the Applied Math option can select one of the following areas:
      1. Probability and Statistics (MATH 6601 and MATH 6602)–Syllabus.
      2. Computational Analysis (MATH 6680)–Syllabus.
      3. Algorithms (MATH 6682)–Syllabus.

    The qualifying examinations will take three hours and will be offered twice yearly.

    Regular students in the MS program must take the examination as soon as possible and no later than the fourth semester of graduate studies.

    Students must confirm their request to take the exams at the Graduate Program Office on or before the official deadline. Exams will not be offered in a subject area for which no petitions are registered by the above deadline.

    M.S. Degree – Syllabi and Old exams

    Detailed syllabi may be requested in the Office of Graduate Studies of the Department of Mathematics.