## Program Requirements for Applied Mathematics MS

In the semester in which the student intends to complete their BS, students must apply for admission into MS in Applied Mathematics Program.

Students must earn a minimum grade of B- (2.7) in all courses taken at CU Denver and must achieve a minimum cumulative major GPA of 3.0, for all courses that will apply to the MS. All graded attempts in required and elective courses are calculated in the major GPA. Students cannot complete major or ancillary course requirements as pass/fail.

Students must present 30 hours of course work for the M.S. degree.

At least 24 of these hours must consist of graduate level (numbered 5000 or higher) courses with the MATH prefix.

The remaining 6 hours must be either MATH courses numbered 5000 or above or pre-approved courses outside the department numbered 4000 or above.

Students must complete a written project and pass a final oral exam.

Note that 12 semester hours of MATH courses used for the B.S. portion of the degree apply to the 30 hours of course work below.

Up to 9 semester hours of prior course work may be transferred in (subject to approval); these must be at the 5000 level or above with a B- or better grade. Courses already applied toward a prior degree (graduate or undergraduate) cannot be used toward the M.S. degree in Statistics. Additionally, the following MATH courses will NOT count toward a graduate degree: MATH 5000-5009, 5010, 5012-5015, 5017, 5198, 5250, and 5830.

Following completion of course work, all students must complete a written project and pass a final oral exam. For students choosing the thesis option, 4 to 6 hours (of the 30 required hours) may be devoted to the writing of a thesis through MATH 5950. According to Graduate School policies, Masters students, whether enrolled full-time or part-time, must complete all degree requirements within 7 years of matriculating into the graduate program.

The following course requirements must be satisfied by all students in the MS in Applied Mathematics Program:

- (Analysis Core Requirement) One of: MATH 5070 (Applied Analysis) or MATH 6131 (Real Analysis),
- (Linear Algebra Core Requirement) MATH 5718 (Applied Linear Algebra)
- Students must complete at least three courses chosen from the following list. Note that MATH 6131 (Real Analysis) can be used to satisfy both the analysis core requirement and may also count as one of the three courses satisfying this requirement.

- Any MATH course at the 6000 level or above
- MATH 5135 Functions of a Complex Variable
- MATH 5310 Probability
- MATH 5320 Introduction to Mathematical Statistics
- MATH 5490 Network Flows
- MATH 5593 Linear Programming
- Additional course options may be added later at the discretion of the Department of Mathematical and Statistical Sciences, e.g., as new courses are introduced to the graduate program.

**Program Requirements**

**Admissions:** Once a student has progressed beyond three semesters of calculus (through multivariate calculus), linear algebra, Introduction to Abstract Mathematics, and Real Analysis I, they may apply for entry into the 5-year BS in Mathematics / MS in Applied Mathematicsdegree program. A 3.0 grade point average (GPA) is required over all mathematics courses.

To apply, contact the one of the Co-directors for the Graduate Program in order to complete an “Intention to complete 4+1 Bachelor’s to Master’s Degree form.”

**Graduate School Policies and Procedures:** The following excerpts are from Article II. Section 2.iv. of the Graduate School Policies and Procedures (as approved by Graduate Council April 3, 2013, and modified by Graduate Council February 2018). Students are not formally admitted to the Graduate School until they have earned their undergraduate degree. Students participating in a Bachelor’s/Master’s option must:

- fulfill all credit requirements of both the graduate and undergraduate programs
- fill out and submit a declaration of intent to complete this program before enrolling in any graduate level courses, being advised by both undergraduate and graduate advisors; and
- apply and be admitted to the graduate program in the semester (fall or spring) in which they intend to complete their undergraduate degree.

*Here, the graduate program pertains to the Department of Mathematical and Statistical Sciences. Before enrolling in any graduate courses, the student must have been admitted into the 5-year degree program and submitted an “Intention to complete 4+1 Bachelor’s to Master’s Degree form.”

**Additional notes for obtaining the B.S. in Mathematics:**

- Students must complete at least 30 upper-division (3000-level and above) credit hours in the major.
- Students must earn a minimum grade of C- (1.7) in all major courses taken at CU Denver and must achieve a minimum cumulative major GPA of 2.25. All graded attempts in required and elective courses are calculated in the major GPA. Students cannot complete major or ancillary course requirements as pass/fail.
- Students must complete a minimum of 15 upper-division level MATH credit hours with CU Denver faculty.
- Students must earn a minimum grade of C- (1.7) in all major courses taken at CU Denver and must achieve a minimum cumulative major GPA of 2.25. All graded attempts in required and elective courses are calculated in the major GPA. Students cannot complete major or ancillary course requirements as pass/fail.

You must satisfy the requirements of the College of Liberal Arts and Sciences (CLAS) and CU Denver. Contact CLAS advising office for details.

Additionally, students must satisfy the following requirements to obtain the M.S. in Applied Mathematics:

- At least 30 semester hours
- At least 24 hours must be in mathematics and statistics, numbered 5000 or above

At most six hours may be in courses outside the Department of Mathematical & Statistical Sciences at the 4000 level or above, if approved by the student’s academic advisor and by the Graduate Committee.

The overall grade point average must be 3.0 or higher. Grades below a B- are not accepted (but they do contribute to the overall GPA).

A maximum of 9 credit hours of coursework may be transferred into the M.S. program. Only courses completed with a grade of B- or better may be considered for transfer credit. Credit cannot be transferred until the student has established a satisfactory record of at least six graduate credits in mathematics or statistics at CU Denver with a minimum GPA of 3.0. All transfer courses must be approved by the Graduate Program Director. Courses taken while registered as a non-degree student are considered transfer courses.

The following courses will not count toward a graduate degree in applied mathematics: MATH 5000-5010, MATH 5012-5015, MATH 5017, MATH 5198, MATH 5250 and MATH 5830.

**Additional Notes:**

Students will be advised to take Introduction to Real Analysis II (MATH 4320) as an elective for the B.S.

Students must complete either the requirements for the M.S. degree without concentration area or specific coursework requirements in one of the following areas: Applied Probability, Applied Statistics, Discrete Mathematics, Mathematics of Engineering and Science, Numerical Analysis, or Operations Research.