**Table of Contents:**

### General Information

Three different Master’s Degrees are currently available:

- M.S. in Mathematics
- M.S. in Mathematics with Outside Specialization
- M.S. in Applied and Computational Mathematics

All M.S. degrees require at least 35 credit hours of coursework. Under the direction of the advisor, the committee will plan and supervise the course of study and the writing of the thesis (Plan A) or master’s paper (Plan B.) See individual program descriptions in the Graduate Student Handbook or the Mathematics Graduate Program website for more details.

The official Program Code for all three MS degrees is: **MATH-MS**

**Scholastic Standard for all MS degrees: **In addition to the GPA requirements found in the Scholastic Standards page, a 3.0 average in all math courses at the 400 level and above must be maintained.

This program is designed for the student who wants to obtain a general education in mathematics at the Master’s level. This program is also an appropriate preparation for our Ph.D. program in mathematics. The recommended mathematical preparatory coursework for this program includes junior/senior level coursework in advanced calculus, abstract algebra and linear algebra.

**General Requirements**

- A minimum of 35 credit hours of course work
- Math courses at the 300 level and below will not be counted towards the 35 hour requirement.
- A minimum of 24 credit hours taken on campus
- At most 6 of the 35 credit hours may be taken outside mathematics.
- Course work outside the department must be at the 300 level or above. Outside courses must be approved in advance by the graduate student’s advisor and have some relevance to the student’s mathematical program.
- A minimum of 18 hours of coursework in mathematics at the 500 level or above (excluding MATH x99 and MATH 530)
- The Seminar requirement must be satisfied – a maximum of 2 credits may be counted toward the 35 credit hour degree requirement.
- At most 1 hour of MATH 584 (Supervised College Teaching) may be counted towards the 35 credit hour requirement.

**Course Requirements**

The program must include three out of the six courses:

- MATH 501
- MATH 517
- MATH 545
- MATH 550
- MATH 560
- MATH 566

The program requires two sequences selected from the following options:

- MATH 501-502
- MATH 510-520
- MATH 517-617 or MATH 517-519
- MATH 545-546
- MATH 550-652
- MATH 560-640 or MATH 560-561
- MATH 566-567
- MATH 570-571

(Note: if a sequence is not offered due to enrollment restrictions then students must select amongst the available sequences in any given year.)

The program must include at least one additional course selected from an area of mathematics, as approved by the student’s advisor, not represented in the student’s choices used to fulfill the requirements above.

** MS Final Project and Examination**

A final oral examination is required for all MS degrees. The Examination is conducted by the Advisory Committee and is open to faculty and graduate students in the Department as well as other interested parties. The student must complete one of the following options for the MS.

- Thesis (plan A): The student completes a thesis that is not purely expository but reflects an element of originality on the part of the student. The student’s program of study must contain a least 6 but not more than 9 credits hours of thesis research (MATH 699)
- The thesis will be submitted electronically through ProQuest. Instruction for submitting a thesis are detailed on the Graduate School’s website

http://graduateschool.colostate.edu/current-students/thesis-dissertation/index.aspx

- The format of the thesis must strictly adhere to the requirements of the Graduate School. A format Requirements Checklist and sample pages of the Title page, Copyright page, Signature page, and Abstract page are available on the Graduate School website:

http://graduateschool.colostate.edu/current-students/thesis-dissertation/index.aspx

- The thesis must be submitted to the Graduate School by published deadlines.

http://graduateschool.colostate.edu/current-students/student-resources/

- Paper (plan B): The student writes an expository paper under the direction of the advisor. This paper must be approved by the advisor and the committee. The student’s program of study must contain 3 credits hours of thesis research (MATH 699)
- The Expository Paper will not be submitted to the graduate school.

The Graduate Coordinator will assist with room scheduling once the date and time for the defense have been established with your committee.

The student’s committee must have adequate time to review the thesis or paper before the final examination. Therefore, the committee must have the thesis or paper at least two weeks (including two weekends) before the final examination which meets the following standards:

- The Paper or Thesis must be in final form
- The Print is letter quality, and a uniform style has been used throughout.
- Figures, printouts, etc. are clear and easy to read.
- Text is double-spaced and printed on only one side of the paper.

Results of the final oral examination will be reported on the GS24. Voting is limited to the members of the student’s committee, and a majority vote is necessary to pass the examination. A tie vote is interpreted as failure to pass the examination. All committee members must vote to either Pass or Fail the student; there is no option to withhold a signature. Committee members who are not academic faculty do not have a vote on the final examination.

If significant revisions to the thesis or expository paper are required by the committee after the final oral examination is complete, a reasonable amount of time must be given for committee members to re-review the thesis once the revisions have been made.

A candidate who fails the final examination may be reexamined once and, for the reexamination, may be required to complete further work. The reexamination must be held not later than 12 months after the first examination. The examination must not be held earlier than two months after the first examination unless the student agrees to a shorter time period. Failure to pass the second exam results in dismissal from the Graduate School.

This program is designed for the student who wants to combine a solid background in mathematics with an area of specialization outside the Mathematics Department (e.g. atmospheric sciences, biology, computer science, engineering, physics, statistics, or education) The recommended mathematical preparatory coursework for this program includes junior/senior level coursework in advanced calculus and linear algebra.

**Permanent Advisor**

Acceptance into the Master’s program with outside specialization is subject to having obtained a permanent advisor from among the Mathematics faculty. Incoming students or students who do not yet have a permanent advisor remain in the “general” Mathematics masters program.

The outside area of specialization and the student’s MS committee should be chosen as early as possible, preferably by the end of the first year of study. Areas of outside specialization must be approved in advance by the student’s committee. The committee must include at least one member from the area of specialization plus at least two members from the Mathematics Department.. Under the direction of the advisor, the committee will plan and supervise the course of study and the writing of the thesis or master’s paper.

** General Course Requirements**

- A minimum of 35 credit hours of course work
- Math courses at the 300 level and below will not be counted towards the 35 hour requirement.
- A minimum of 24 credit hours taken on campus
- A minimum of 9 of the 35 hours taken in an outside area
- 6 hours of course work taken outside the department must be at the 600 level or above.
- A minimum of 18 hours of coursework in mathematics at the 500 level or above (excluding MATH x99 and MATH 530).
- The Seminar requirement must be satisfied – a maximum of 2 credits may be counted toward the 35 credit hour degree requirement.
- At most 1 hour of MATH 584 (Supervised College Teaching) may be counted towards the 35 credit hour requirement.

**Other Course Requirements**

The program must include three out of the six courses:

- MATH 501
- MATH 517
- MATH 545
- MATH 550
- MATH 560
- MATH 566

The program must include at least one additional course selected from an area of mathematics, as approved by the student’s advisor, not represented in the student’s choices used to fulfill the requirements above.

**MS Final Project and Examination: Same requirements as for the MS in Mathematics.**

The MS in applied and computational mathematics is a Master’s program aimed at providing the graduate with the skills needed to deal with problems which typically arise in science, business, and industrial situations.

**General Course Requirements**

- A minimum of 35 credit hours of course work
- Math and outside courses at the 300 level and below will not be counted towards the 35 hour requirement. MATH 530 does not count toward the 35 credit hour requirement.
- A minimum of 24 credit hours taken on campus
- A minimum of 9 of the 35 hours taken in an area of application outside mathematics (such as physics, biology, engineering, etc.) including at least 3 credit hours of statistics. The area and courses must be approved by the graduate student’s advisor.
- 6 hours of course work taken outside the department must be at the 500 level or above.
- A minimum of 18 credit hours of coursework in mathematics at the 500 level or above (excluding MATH x99).
- The Seminar requirement must be satisfied, a maximum of 2 credits may be counted toward the 35 credit hour degree requirement.

**Other Course Requirements**

**Numerical Analysis:** Students must take two courses from the following list:

- MATH 550
- MATH 561
- MATH 651
- MATH 652

**Sequence Requirement:** Students must take at least one sequence from the following list:

Mathematical modeling is the term used to refer to the process of formulating in mathematical context a problem arising in some area of applications. Each student is required to complete at least two one-semester courses in modeling. Mathematics courses which may be used to satisfy this condition include the following:

- MATH 510 – 520
- MATH 517 – 617 or 519
- MATH 540 – 640
- MATH 640 – 641
- MATH 545 – 546
- MATH 560 – 532 or 561

**Modeling and Methods:** Students must take at least two courses from the following list:

- MATH 532
- MATH 540
- MATH 535
- MATH 545
- MATH 633

**MS Final Project and Examination: Same requirements as for the General MS in mathematics
**