*W. Smith, PhD (Chair)—analysis, function theory
Degrees Offered: BA (including minor) in mathematics, BS in mathematics, MA in mathematics, PhD in mathematics
The Academic Program
The mathematics (MATH) program offers preparation in the full spectrum of mathematical sciences, including algebra, geometry, differential equations, real and complex analysis, topology, logic, number theory, and probability and statistics, as well as various topics in applied mathematics. Mathematics majors begin with the study of calculus and linear algebra. After completion of these fundamental courses, students may choose to specialize. The department advises each prospective major on requirements and course options to meet his or her needs and interests. Departmental advisors are also available every day to all students.
Depending upon individual interest, students of mathematics may pursue careers in a variety of fields such as teaching, computer science, operations research, statistics, business, and economics. In addition, students who continue on to the graduate program may choose to become professors and/or research mathematicians. The faculty has the competence and resources required to provide the basic mathematical preparation required for any of these professions.
A goal of all non-survey mathematics courses is the development of precision of thought and expression. This receives special emphasis in the many writing-intensive courses the department offers.
Students must complete 21 credit hours in mathematics courses numbered above 300, including:
Students must complete 24 credit hours in mathematics courses numbered above 300 and 15 credit hours in additional upper division mathematics courses or appropriate non-introductory courses in the natural or information sciences, including:
Students must also demonstrate the ability to program scientific problems on a computer.
Students must complete MATH 243 or 253A plus 12 credit hours in mathematics courses numbered above 300, including:
Prospective graduate students are expected to have adequate undergraduate preparation in linear algebra, advanced calculus, and abstract algebra. Applicants must submit to the department their scores for the GRE General Test; applicants for the graduate assistant positions are strongly encouraged to submit scores for the subject test in mathematics as well. The department requires a score of at least 650 on the quantitative section of the GRE General Test for admittance as a regular student. The department requires a general examination of all incoming graduate students for course placement purposes. This diagnostic examination consists of two parts, algebra and analysis, and is designed to evaluate the student’s command of undergraduate mathematics in the areas of linear algebra, advanced calculus, and abstract algebra.
The department does not have a thesis option (Plan A) for the MA, and most students will select Plan B. Plan B requires 30 credit hours of course work. Each master’s candidate must form a two member committee and pass an examination on a topic chosen by the student and committee. An exceptional student may be admitted to Plan C at the discretion of the graduate chair.
For the PhD degree, the department requires that the student show proficiency in two of the following languages: French, German, Russian, or a computer language. Teaching experience is required of all PhD students. To be admitted to PhD candidacy, the student must satisfy the language requirements and pass three written examinations: (a) linear algebra and abstract algebra; (b) real analysis and the basic facts of complex analysis and general topology; and (c) a third field chosen by the student with the approval of the graduate chair. All new students in the PhD program shall complete a minimum of five mathematics department courses numbered between 600 and 690, other than 611, 612, 631, 632, 644, 649. These five courses may be taken under the CR/NC option. Exceptions: Up to two 3-credit 649 (alpha) seminars (meeting three hours/week) may be substituted for (up to) two of these required five courses, with the written approval of the graduate chair. Also, with the written approval of the graduate chair, credit may be given for equivalent courses taken in another mathematics department or for graduate-level courses taken in another department that are recommended by the student’s thesis advisor and directly related to the dissertation topic; such credit for graduate courses taken in another department is limited to a total of no more than two courses.
Please note: This Catalog was prepared to provide information and does not constitute a contract. The University reserves the right to change or delete, supplement or otherwise amend at any time and without prior notice the information, requirements and policies contained in this Catalog.
|Catalog Coordinator, Manoa Catalog Office, 2600 Campus Road, QLC 102, Honolulu, HI 96822 :: Web Design by Christine Galiza, Modified by Michelle Saoit ::|