Category Archives: Graduate posts

Requirements for the MA in Mathematics

(Note: the following requirements are for students beginning in Fall 2016 or later; students who arrived before then should consult with the Graduate Chair.)

The MA program in Mathematics at UH Mānoa has two principal components:

  1. Course requirements
  2. Paper and presentation

There are further specific requirements presented below.

Course requirements

For courses offered by the department, click here.

Students must pass 30 credit hours of mathematics courses numbered 400–699 subject to the following conditions:

  • All courses that count towards the 30 credit requirement, or to any of the other requirements below, must be passed with a B– or better.
  • At least 9 credit hours must be from the four core courses: algebra (611), applied mathematics (601), analysis (631), topology (621); and at least six credits must come from 603 or 607, 625, 644, 654 or 655 or 657, and 661.
  • At most 6 credit hours from courses numbered 400–499.
  • At most 6 credit hours can be numbered 649 or 699, unless authorized by the graduate chair. It is expected that the graduate chair will authorize additional courses if they are regular graduate courses that are running with a 649 number, but not otherwise.
  • Courses must be from the mathematics department, unless authorized by the graduate chair in consultation with the student’s advisor. It is expected that the graduate chair will authorize graduate-level courses from other departments that are judged to be relevant to the student’s work, and to have serious mathematical content.
Paper and presentation

To graduate, a student must write a paper on a research topic approved by the Graduate Chair and give a one-hour public presentation followed by an oral examination by the student’s Master’s committee.

Further requirements

Students must complete a graduate seminar requirement by either participating in a graduate-level seminar or by taking a 699 reading course in the mathematics department.

Additional university-wide requirements can be found on the Office of Graduate Education website under Master’s Plan B.

A LaTeX template for dissertations is available to department users.

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Graduate Program in Logic

The Department of Mathematics at University of Hawaii at Manoa has long had an informal graduate program in logic, lattice theory, and universal algebra (People, Courses, Description) going back to Alfred Tarski’s 1963 student William Hanf.

We are offering the following course rotation (courses mostly repeating after two years):

Past offerings
Semester Course number Course title Instructor
Spring 2016 MATH 649 Applied Model Theory Ross
Fall 2016 MATH 654 Graduate Introduction to Logic Beros
Spring 2017 MATH 657 Computability and Complexity Khan
Fall 2017 course break - -
Spring 2018 MATH 649 Applied Model Theory Ross

Future offerings:

Semester Course number Course title Instructor
Fall 2018 MATH 654 Graduate Introduction to Logic Kjos-Hanssen
Spring 2019 MATH 655 Set theory Williams
Fall 2019 course break - -
Spring 2020 MATH 657 Computability and Complexity Kjos-Hanssen
Fall 2020 MATH 654 Graduate Introduction to Logic TBA
Spring 2021 MATH 649 Applied model theory Ross

It is also recommended that students familiarize themselves with undergraduate level logic, which is offered on the following schedule:

Past offerings
Semester Course number Course title Instructor
Fall 2012 MATH 454 Axiomatic Set Theory Kjos-Hanssen
Spring 2013 MATH 455 Mathematical Logic Kjos-Hanssen
Fall 2014 MATH 454 Axiomatic Set Theory Ross
Spring 2015 MATH 455 Mathematical Logic Khan
Spring 2016 MATH 454 Axiomatic Set Theory Khan
Spring 2017 MATH 455 Mathematical Logic Ross
Spring 2018 MATH 455 Mathematical Logic Khan

Potential future offerings:

Semester Course number Course title Instructor
Spring 2019 MATH 455 Mathematical Logic TBA
Fall 2019 MATH 454 Axiomatic Set Theory TBA

Faculty teaching in the program

David A. Ross, Professor
Bjørn Kjos-Hanssen, Professor
Achilles Beros, Temporary Assistant Professor 2015-2019
Kameryn Williams, Temporary Assistant Professor 2018–2019

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Student learning outcomes for graduate programs

Student Learning Outcomes in the PhD Program:
1. Mastery of graduate level mathematics in core areas including at least 2 of analysis, algebra, topology, applied mathematics.
2. Familiarity with the breadth of modern mathematics, by successful completion of a range of advanced courses.
3. Deep knowledge of a specific area of specialization.
4. Ability to accomplish significant mathematical research.
5. Ability to write professional quality mathematics.
6. Ability to present advanced research mathematics to a mathematics audience.
7. Ability to learn advanced mathematics independently.

Student Learning Outcomes in the MA Program:
1. Mastery of graduate level mathematics in core areas including at least 3 of analysis, algebra, topology, applied mathematics.
2. Familiarity with the breadth of modern mathematics, by successful completion of a range of advanced courses.
3. Ability to engage in an independent mathematical project.
4. Ability to communicate mathematics effectively in writing.
5. Ability to present advanced mathematical ideas to a mathematics audience.