University of Alaska Fairbanks

M.S. Program in Mathematics

 
 
 

This page under construction! Please see Jonathan Wiens for details.

Introduction


The University of Alaska Fairbanks is reputed for its strength in the natural sciences, especially in those areas touching on the arctic environment. Many institutes and departments on campus use mathematics in their research, among them the Institute of Arctic Biology, the Institute of Marine Sciences, the Geophysical Institute, the Department of Biology and Wildlife and the Fisheries Division.

The Master of Science in Mathematics program was established by the Department of Mathematical Sciences in 1961.  Students in the program can take courses with either a pure or an applied mathematical emphasis.  Students will also be required to complete a project or thesis developed in consultation with the student's graduate advisor and graduate advisory commitee.


Qualifications of Graduates

Graduates of the program will be qualified to do the following:

The Program

The program is built around four mathematics core courses and existing mathematics courses at UAF.  While most students will complete the program in two years, students who matriculate with deficiencies may take an extra semester or two to complete the program.


Sources of Funding.

The Department of Mathematical Sciences offers several teaching assistant positions, consisting of a stipend ($12,000 for 9 months) and tuition waiver. A limited number of Research Fellowships or Assistanceships may also be available.  Outside sources of funding are possible.


Thesis/Project Options and Examinations

The program must be taken with a thesis or project.

All students in the master's degree program must pass the following examinations:

  1. A written comprehensive examination.  This will usually be taken in the Spring of the student's second year.
  2. An oral defense/presentation of their thesis/project.  This will usually be done shortly before graduation in the Spring of the student's second year.

Student Admission Qualifications

To be admitted to the program, an applicant must complete the general UAF procedures for admission into a graduate program and complete and/or submit the following:
 
  1. We recommend that students complete and submit the GRE general and subject exam.  Students will be required to take the GRE by the end of their first year of study.
  2. Foreign applicants for whom English is a second languare will need to complete and submit a TOEFL score of at least 550 (paper score) or 213 (computer score).  Applicants seeking a teaching assistanceship will need a (paper) score of at least 600. The department gives preference to foreign appicants sho also submit results of the Test of Spoken English (TSE); **
  3. Three letters of recommendation concerning the applicants' educational background;
  4. Complete transcripts for all college level coursework;
  5. Applicants must have completed at least a bachelors degree in mathematics or a closely related field from an accredited institution including the completion of the following courses or their equivalent with a grade of B or better: **
** - Exceptions to the above requirements which are departmental MAY be made by the graduate admissions committee.  Students who are admittedwith deficiencies will be asked to remedy these deficiencies as soon as possible after their arrival on campus.
 


Program Requirements:


Graduate Committee:  The applicant must select a graduate advisory committee consisting including at least three faculty members, at least half of which are mathematics faculty, and have the commitment of one of the mathematics faculty to chair the committee.  The inclusion of a faculty member from another discipline is encouraged for those students working on a thesis/project in an applied area.

Students will need to form a (provisional) graduate committee by the end of their first semester.  The student's graduate committee will then meet with the student to creat a Graduate Study Plan.  Among other things, the graduate study plan lists the courses the student will be taking to complete their Master's degree.

The graduate advisory committee can also decide, in accordance with university policy, whether specific transfer graduate courses may be allowed as part of the program (at most 9 credits).

University Requirements:  The student must satisfy the general university requirements, in particular, complete a minimum of 30 semester credits of which at least 24 credits must be at the 600 level, including those earned for thesis (maximum of 12 credits) or projects (maximum of 6 credits).  At least 21 of these credits must be taken in Mathematics.

Departmental Requirementts:  In addition to the university requirements, the Master's in Mathematics program requires the following:
 
 

I. Complete the Core Mathematics Courses:

Complete the following:
Math 631
Modern Algebra I
4 credits
Math 641
Real Analysis
4 credits
Math 645
Complex Analysis
4 credits
Math 651
 Topology
4 credits
 
16 credit subtotal
 

 
 
II. Complete at least 8 additional credits of approved courses in Mathematics, Statistics, Computer Science or a closely related field (excluding Math 600)
8+ credit subtotal

 
 
III. Complete an approved Project or Thesis
Math 698
        Research (on Project) 
6 credits
 Math 699 
Thesis
  6-12 credits 
 
6-12 credit subtotal
 

= at least 30 CREDITS TOTAL

(must include at least 24 credits at the 600 level)


Sample Programs  -The following course schedules assume that the student matriculates in the Fall of 2001 and are suggestions only.  The student, in collaboration with the student's graduate committee will develop a detailed graduate study plan.
 
 

The following is a possible course schedule for a student
in a pre-Ph.D. program.


Fall 2001
Spring 2002
Fall 2002
Spring 2003
Math 641
Math 645
Math 631
Math 651
Math 655
Math 615
Math 661
Math 660
Math 611
Math 612
thesis
thesis
10 credits
10 credits
10 credits
10 credits

 

The following is a possible course schedule for a student
interested in a Master's degree in Mathematics with the intent
of teaching mathematics at the post-secondary level.


Fall 2001
Spring 2002
Fall 2002
Spring 2003
Math 641
Math 645
Math 631
Math 651
Math 460
Math 663
Math 661
Math 660
Stat 401/651
Stat 461
project
project
10-11 credits
10 credits
10 credits
10 credits

 

The following is a possible course schedule for a student
seeking a Master's wtih an applied mathematics emphasis.


Fall 2001
Spring 2002
Fall 2002
Spring 2003
Math 641
Math 645
Math 631
Math 651
Stat 401/651
Math 663
Math 661 
Math 660
Math 460
Math 615
project/thesis
project/thesis
10-11 credits
10 credits
10 credits
10 credits

Students who are interested in applied mathematics should also view the
Interdisciplinary MS in Computational Mathematics
web page (under construction) for sample course info for this degree.


 
 

As UAF has strong graduate programs in Fisheries, Marine Science, Wildlife, Biology, Geophysics, and other areas. There are many available graduate-level applications courses. Please check out the links at the bottom of this document for more information.
 

Mathematics Course Descriptions



 

COURSE SCHEDULE OF THE MATHEMATICS PROGRAM

(Including undergraduate courses which may be of interest to some students)

COURSE
 Title
F01
  S02 
F02
S03
F03
S04
Math 401
Advanced Calculus I
X
 
X
 
X
 
Math 402
Advanced Calculus II
 
X
 
X
 
X
Math 404
Topology
 
X
 
 
 
  X
Math 412
Differential Geometry
     
 X
   
Math 421
Applied Analaysis I
X
 
X
 
X
 
Math 422
Applied Analysis II 
 
X
 
X
 
X
Math 460
Mathematical Modeling
X
 
X
 
X
 
Math 600
Teaching Seminar
X
 
X
 
X
 
Math 608
 Partial Differential Equations
ADW
ADW
ADW
ADW
ADW
ADW
Math 611
Mathematical Physics
X
 
X
 
X
 
Math 612
Mathematical Physics
 
X
 
X
 
Math 615
Applied Numerical Analysis
 
 X
 
   
Math 621
Advanced Applied Analysis
 
 
 
 
 
Math 630
Advanced Linear Algebra
ADW
 ADW  ADW  ADW
ADW
 ADW
Math 631
Modern Algebra I
 
 
 
 
 
Math 632
Modern Algebra II
 X
   
 
 
Math 641
Real Analysis I
 X
 
 
 
 
Math 642
Real Analysis II
 
 
 X
 
 
 
Math 645
Complex Analysis 
 
   
 
Math 651
Topology
 
 
 
X
 
 
Math 655
Algebraic Topology
 
 
 
 
Math 660
Advanced Mathematical Modeling
 
 
 
 X
 
 
Math 661
Optimization 
 
 
 
 
 
Math 663
Appl. Comb. and Graph Theory 
 
 
 
 

Notes:  1) ADW - As Demand Warrants
           2) Math 611 and Math 612 are cross-listed as Phys 611 and Phys 612
           3) Math 661 is cross-listed as CS 661.


Faculty

The Mathematics Facully in the Department of Mathematical Sciences are:
 

Contact

Jonathan Wiens,
Department of Mathematical Sciences
University of Alaska Fairbanks
Fairbanks, AK 99775-6660.
Phone: (907) 474-7772
Fax: (907)-474-5394
e-mail: ffjjw@uaf.edu
 
 


Links to other University of Alaska programs

Also of interest: doc info