##
Department of Mathematical Sciences

Northern Illinois University

# Graduate Programs in the Mathematical Sciences:

# Master of Science

The Department of Mathematical Sciences offers
**the Master of Science degree in Mathematics ** with specialization in
Pure Mathematics, Mathematics Education, Applied Mathematics, Computational Mathematics;
the
**Master of Science degree in Teaching; **
and the
**Master of Science degree in Applied Probability and Statistics.**
The requirements for each degree are described in the latest
Graduate catalog.
This document is to give you some additional information on
our master's program in mathematics. Graduate Catalog information on the M.S. in Teaching
is available via the previous webpage
under "MS in Teaching." Contact the
Graduate Studies Director for more information
here.
For information on the M.S. degree in applied probability
and statistics, please contact the
Division of Statistics.

**M.S. requirements**| The Transition to Graduate Study

### M.S. in Mathematics

Students in this degree program choose one of the following four specializations: Applied Mathematics, Computational Mathematics, Mathematics Education, or Pure Mathematics. Our master's program is designed so that students can complete the degree requirements in 2 years of full-time study. Superior full-time students can often fulfill the degree requirements in one academic year when combined with the preceding and following summer terms.

The basic requirements are to complete thirty semester hours (10 3-hour courses)
as described in the
Graduate Catalog,
and to pass a written
Comprehensive Examination.
With departmental approval, master's students
may also complete the degree under the * master's thesis option*.
The student prepares a thesis under the direction of a member of the graduate
faculty and gives an oral defense of the thesis. In most cases, three hours
of MATH 699 can be applied to the 30 hours required for the master's degree.
The oral thesis defense also serves as the student's comprehensive examination,
which replaces the written comprehensive examination that is required for
master's students in the non-thesis option.

### The Transition to Graduate Study

An advantage of our program is that it offers a variety of transitional
courses to bridge the gap between undergraduate work and graduate-level
courses but still carry graduate credit.
This allows you to
start your graduate career in a way that is appropriate for your
ability and background. Here is a brief description of some of the transitional
courses we offer in various areas. Also refer to the course descriptions
given in the
Graduate Catalog.

**Algebra: ** If you have already had a one-year sequence
of courses in abstract algebra (proof-oriented courses on groups, rings,
and fields), then you are probably ready for the initial graduate algebra
sequence, MATH 620 and 621. If not, then you may want to start with MATH
520 and 521, transitional courses which discuss groups, rings, and fields,
and allow you to develop your skills at writing correct proofs.

**Analysis: ** If you have already had a one-year sequence
of courses in advanced calculus (including differentiation and integration
of functions of several variables), with lots of attention paid to writing
your own proofs, then you are probably ready for the initial graduate analysis
courses, MATH 630 and MATH 632. If not, then you may want to start with MATH
530 and 531, transitional courses in advanced calculus which will give you
lots of practice at writing proofs, as well as exposure to the important
techniques of the area.

**Differential Equations: ** You have probably had one
course in differential equations as an undergraduate, perhaps with a primary
focus on techniques. If not, you should consider taking the NIU course MATH
336. This is a sub-transitional course (an undergraduate course) and would
not carry graduate credit. The initial graduate courses are MATH 636 (ordinary
differential equations) and MATH 642 (partial differential equations). The
prerequisites for these courses are MATH 530 and MATH 531, respectively.

The transitional courses described above can be very helpful in facilitating
a smooth entry into our program. Keep in mind, however, that a decision to
begin at the transitional level will probably delay the completion of your
program. If your background has prepared you for the basic graduate courses
(this is something your adviser can help you to measure), then you should
go ahead and take them.

### Teacher Certification

Graduate students who are also
seeking certification to teach at the middle and secondary school level,
in addition to a graduate degree, can be accommodated through courses in
methods of teaching (MATH 410 and MATH 412), education pedagogy courses offered
through the College of Education, and a student teaching practicum.
Note that these courses do not carry credit for graduate degrees in mathematical
sciences. Full-time students in the master's program should count on an
extra year to complete the added requirements for teaching licensure.

### Examples of Programs of Study

Sample M.S. Study Plans
provides some examples of programs of study in the 4 specializations for
the M.S. in mathematics (10 courses, 30 hours).
Please note that many other combinations of courses are
possible. Your adviser will have up-to-date information on the semesters
when particular courses are normally offered.

For additonal information on our M.S. program in mathematics,
our Ph.D. program in mathematical sciences, and financial support for students
in these degree programs, please contact:

Professor Jeff Thunder

Director of Graduate Studies

Mathematical Sciences Department

Northern Illinois University

DeKalb, IL 60115

(815) 753-6775

gradprog@niu.edu or visit the graduate program
web page.

Students interested in the master's degree in statistics should contact the Division of Statistics for information about their program. The Division of Statistics also has its own budget for graduate assistantships; contact the Director of the Division for details.

** Director of Graduate Studies:** Prof. Jeff Thunder

** Email: **
gradprog@niu.edu

*Last modified: 11/09/2016 (jt) *