{"id":752,"date":"2012-09-10T20:03:54","date_gmt":"2012-09-10T20:03:54","guid":{"rendered":"http:\/\/catalogs.wcsu.edu\/grad1213\/sas\/programs\/master-of-arts-in-mathematics\/"},"modified":"2020-08-27T19:44:53","modified_gmt":"2020-08-27T23:44:53","slug":"master-of-arts-in-mathematics","status":"publish","type":"page","link":"https:\/\/catalogs.wcsu.edu\/grad2021\/sas\/programs\/master-of-arts-in-mathematics\/","title":{"rendered":"MASTER OF ARTS IN MATHEMATICS"},"content":{"rendered":"

Master of Arts in Mathematics<\/span><\/span><\/strong><\/p>\n\n\n\n\n\n\n\n
Charles Rocca, Graduate Coordinator, WH 322A<\/span><\/td>\nPhone: (203) 837-9360<\/span><\/td>\n<\/tr>\n
<\/td>\nroccac@wcsu.edu<\/span><\/td>\n<\/tr>\n
Cathy DeSisto-Reynolds, Department Secretary, WH 321<\/span><\/td>\nPhone: (203) 837-9299<\/span><\/td>\n<\/tr>\n
<\/td>\nreynoldsc@wcsu.edu<\/span><\/td>\n<\/tr>\n
<\/td>\nFax: (203) 837-8527\u00a0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n
Faculty:\u00a0\u00a0 <\/em><\/span><\/td>\nD. Burns; S. Christofi; B. Hall; S. Hayes; S. Lightwood; A. Lubell; P. Maida; C. Rocca; Michael Shoushani, Todd Trimble, X. Wang<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Program Overview and Mission<\/strong><\/span><\/p>\n

The Master of Arts (M.A.) in Mathematics degree program provides students with an avenue for further in-depth study in theoretical or applied mathematics. Students may use this program as a first step toward a Ph.D. in Mathematics, as a means of increasing their knowledge of mathematics to support their teaching, or to enhance their skills and knowledge for careers in such diverse fields as actuarial science, statistics, cryptography, engineering, and computer science.<\/span><\/p>\n

The mission of the M.A. in Mathematics program is to extend the knowledge of beginning mathematicians with depth and breadth in mathematics content, research, and applications.<\/span><\/p>\n

Program Learning Goals and Objectives<\/strong><\/span><\/p>\n

\u00a0Upon the completion of the MA in Mathematics program, graduates will <\/span><\/p>\n

    \n
  • Demonstrate knowledge of functional concepts and theories in Modern Algebra, Real Analysis, Complex Analysis, Numerical Analysis, and Applied Statistics. These include: <\/span>\n
      \n
    • Functional series with both real and complex terms <\/span><\/li>\n
    • Real and complex functions <\/span><\/li>\n
    • Theory of Riemann integral <\/span><\/li>\n
    • Algebraic Structures, such as groups, rings and fields <\/span><\/li>\n
    • Theory of integration of complex functions <\/span><\/li>\n
    • Theories of interpolation and approximation of functions and numerical solutions to transcendental, polynomial, and differential equations as well as to linear and non-linear systems of equations <\/span><\/li>\n
    • Applications of statistical techniques for both discrete and continuous distributions <\/span><\/li>\n
    • Verifications of assumptions appropriate for specific statistical models <\/span><\/li>\n<\/ul>\n<\/li>\n
    • Be able to use techniques for proving statements about the fundamental concepts in the listed areas <\/span><\/li>\n
    • Develop and apply working skills in problem solving techniques involving the fundamental concepts and theoretical facts in the listed areas <\/span><\/li>\n
    • Use\/develop mathematical models in applied areas, solve them, and analyze the solutions with technology assistance when necessary. <\/span><\/li>\n
    • Demonstrate in depth knowledge in two areas of their choice. Possible demonstrations of this knowledge include: <\/span>\n
        \n
      • Data processing using modern techniques and algorithms such as multivariate statistical analysis or signal analysis <\/span><\/li>\n
      • Proving statements involving measure theory and Lebesgue integration <\/span><\/li>\n
      • Solving problems and demonstrating proofs involving field extensions, quotient structures, Galois theory, geometric or combinatorial group theory <\/span><\/li>\n
      • Solving ordinary and partial differential equations both analytically and numerically <\/span><\/li>\n
      • Proving statements in advanced Number Theory<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

        Admission Requirements<\/strong><\/span><\/span><\/p>\n

        The following are the requirements for admission into the M.A. in Mathematics program:<\/span><\/p>\n

          \n
        • Bachelor\u2019s degree in math\u00a0 or math-related field,\u00a0 with courses through Abstract Algebra<\/span>\n
            \n
          • If applicant does not meet this requirement, s\/he is\u00a0required to take the appropriate courses that are prerequisites to graduate study in mathematics: Linear Algebra, Calculus III, Abstract Algebra, and earn a GPA 3.0 in these courses.<\/span><\/li>\n<\/ul>\n<\/li>\n
          • Undergraduate overall GPA 2.5 or better, and Undergraduate GPA in major math courses 2.5 or better i<\/span>f applicant does not meet this requirement, s\/he must complete the\u00a0GRE Quantitative, General Exam, with a score of 650 or better.<\/span><\/span><\/li>\n
          • Special cases may be accepted by the department graduate committee.<\/span><\/li>\n<\/ul>\n

            Degree Requirements<\/strong><\/span><\/p>\n

            Requirements for the degree of M.A. in Mathematics include: <\/span><\/p>\n

            \u00a0\u00a0\u00a0\u00a0 1. <\/span>a\u00a0minimum of 30 semester hours of course work as described below, and <\/span><\/p>\n

            \u00a0\u00a0\u00a0\u00a0 2. <\/span>a\u00a0culminating experience, which consists of a comprehensive examination and may\u00a0include a thesis.<\/span><\/p>\n

            Comprehensive Examination<\/strong><\/span><\/p>\n

            The comprehensive examination is a three-hour examination on the courses in the program completed by the student as follows: <\/span><\/p>\n

            \u00a0\u00a0\u00a0\u00a0 1. <\/span>one hour on each of two one-year, six-credit MAT courses in the areas of algebra, analysis, numerical analysis, or statistics, with at least one being algebra or analysis; <\/span><\/p>\n

            \u00a0\u00a0\u00a0\u00a0 2. <\/span>two half-hour exams in courses of student\u2019s choice <\/span><\/p>\n

            \u00a0\u00a0\u00a0\u00a0 3. <\/span>Exceptional students (GPA\u00a0> 3.75) have the option of writing a thesis.\u00a0 In such cases, the examination is a single one-hour exam in one of the areas of algebra, analysis, numerical analysis or statistics, and it must be in an area different from the thesis.<\/span><\/p>\n

            All course work must be completed prior to the semester in which students take the comprehensive examination. The total GPA\u00a0must be 3.0 or better. Credit is not awarded for the comprehensive examination.<\/span><\/p>\n

            The written examination is given at a time agreed to by the student and\u00a0graduate coordinator. It is the responsibility of students choosing to take the examination to notify their adviser no less than 2 months prior to the expected examination date. Successful fulfillment of the examination requirement necessitates a passing mark on each section of the examination. In the event the student fails to pass one section of the examination, the student may <\/span><\/p>\n

            \u00a0\u00a0\u00a0 1. <\/span>repeat that particular section of the examination on the next examination date or <\/span><\/p>\n

            \u00a0\u00a0\u00a0 2. <\/span>choose another option with the approval of the department graduate committee.<\/span><\/p>\n

            Thesis<\/strong><\/span><\/p>\n

            The thesis is completed through MAT 592, Independent Thesis Research in Mathematics (up to six semester hours, as agreed to by the student, the thesis adviser, and Mathematics Department chair). The thesis is a scholarly work researched and solely written by the student under the guidance of a thesis adviser and thesis committee. The thesis proposal must be approved by the thesis committee and graduate school before registering for MAT 592. The thesis credits must be approved by the Mathematics Department.<\/span><\/p>\n

            The Master of Arts in Mathematics degree program, including the thesis and the comprehensive examination approach, must be planned and agreed upon by the student and the graduate adviser.<\/span><\/p>\n

            Master of Arts in Mathematics<\/strong><\/span><\/p>\n

            The M.A. in Mathematics requires completion of 30 semester hours. (21 SH required credits as indicated –\u00a0five courses required of all students plus\u00a0two of the second semester classes in algebra, analysis, numerical analysis, or statistics. The remaining\u00a0nine credits can be selected from those listed in agreement with the student\u2019s faculty advisor and graduate coordinator.) Students exhibiting exceptional ability may choose the thesis option to complete their degree.<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
            REQUIRED<\/strong><\/span><\/td>\n\u00a0<\/span><\/td>\n<\/tr>\n
            MAT 512\u00a0\u00a0\u00a0 Modern Algebra I<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 507\u00a0\u00a0\u00a0 Applied Statistics I<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 514\u00a0\u00a0\u00a0 Real Analysis I<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 518\u00a0\u00a0\u00a0 Complex Analysis I<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 526\u00a0\u00a0\u00a0 Numerical Analysis I<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            Plus 2 of the following<\/strong><\/span><\/td>\n\u00a0<\/span><\/td>\n<\/tr>\n
            MAT 513\u00a0\u00a0\u00a0 Modern Algebra II<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 515\u00a0\u00a0\u00a0 Real Analysis II<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 508\u00a0\u00a0\u00a0 Applied Statistics II<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 527\u00a0\u00a0\u00a0 Numerical Analysis II<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            ELECTIVES (9 SH)<\/span><\/strong><\/span><\/td>\n\u00a0<\/span><\/td>\n<\/tr>\n
            MAT 505\u00a0\u00a0\u00a0\u00a0Logic<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 508\u00a0\u00a0 \u00a0Applied Statistics II<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 513\u00a0\u00a0 \u00a0Modern Algebra II<\/span><\/td>\n3\u00a0SH<\/span><\/td>\n<\/tr>\n
            MAT 515\u00a0\u00a0\u00a0 Real Analysis II<\/span><\/td>\n3\u00a0SH<\/span><\/td>\n<\/tr>\n
            MAT 522\u00a0\u00a0\u00a0 Topics in Advanced Geometry<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 528\u00a0\u00a0\u00a0 Number Theory<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 529\u00a0\u00a0\u00a0 Historical Development of Mathematics<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 540\u00a0\u00a0\u00a0 Topics in Mathematics<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 598\u00a0\u00a0\u00a0 Faculty-Developed Study<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAT 599\u00a0\u00a0\u00a0 Student-Developed Study<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n
            MAD 513\u00a0\u00a0 Topics in Secondary School Mathematics Education<\/span><\/td>\n3 SH<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

            A maximum of\u00a0six S.H. may be taken at the 400-level with approval of coordinator. <\/strong><\/span><\/p>\n

            Comprehensive Exam __\u00a0\u00a0\u00a0 \u00a0OR\u00a0 \u00a0Thesis 3<\/strong> S.H.__<\/span><\/p>\n

             <\/p>\n","protected":false},"excerpt":{"rendered":"

            Master of Arts in Mathematics Charles Rocca, Graduate Coordinator, WH 322A Phone: (203) 837-9360 roccac@wcsu.edu Cathy DeSisto-Reynolds, Department Secretary, WH 321 Phone: (203) 837-9299 reynoldsc@wcsu.edu Fax: (203) 837-8527\u00a0   Faculty:\u00a0\u00a0 D. Burns; S. Christofi; B. Hall; S. Hayes; S. Lightwood; …<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":747,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-752","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/pages\/752","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/comments?post=752"}],"version-history":[{"count":0,"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/pages\/752\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/pages\/747"}],"wp:attachment":[{"href":"https:\/\/catalogs.wcsu.edu\/grad2021\/wp-json\/wp\/v2\/media?parent=752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}