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# Mathematical Sciences submajor

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### Mathematics Major*The department offers many different programs with varying requirements: Pure Math; Mathematical Sciences;
Actuarial Mathematics; Mathematics of Finance and Risk Management; Honors; and Teaching Certification*

*Effective Winter 2014*

*May be elected as a departmental major*

**Prerequisites to the Major**

Most programs require completion of one of the sequences ending with MATH 215-217, 256-217, 285-217, or 395-396. A working knowledge of a high-level computer language such as C++ or a computer algebra system (such as Maple or Mathematica), at a level equivalent to completion of a course of three or more credits, and eight credits of PHYSICS, preferably PHYSICS 140/141 and 240/241, are recommended for all programs and required for some. (A grade of C- or better is strongly suggested for MATH 217.)

**Major GPA Calculation**

For purposes of calculating grade point average, the term "field of the major" means the following:

- All MATH courses.
- All courses used to meet requirements for the major.
- All required cognate courses (if any).
- All mandatory prerequisites.
- EECS 183
- ECON 101 and ECON 102 (actuarial mathematics submajor only).

**Requirements for the Major**

A student considering a major in Mathematics should consult a mathematics department advisor in the Undergraduate Mathematics Office as early as possible and certainly by the first term of the sophomore year. The department offers many different submajors with varying requirements; failure to meet some of these at the intended time may delay completion of the program and graduation. A plan for the major must be designed with and approved by a department advisor.

- Pure Mathematics
- Mathematical Sciences
- Actuarial Mathematics
- Mathematics of Finance and Risk Management
- Honors Mathematics
- Secondary Mathematics Teaching Certificate

Effective Winter 2015

**Prerequisites to the submajor**

Completion of one of the sequences ending with MATH 215&217, 256&217, 285&217, or 295&296. Students who have completed one of the sequences 255&256 or 285&286 may substitute MATH 513 for MATH 217. In addition, students must acquire a working knowledge of a high-level computer language (*e.g.,* Fortran, C, or C++) at a level equivalent to the completion of EECS 183; and Introductory Biology sequence (BIOLOGY 171-172). For those not pursuing either a Physics major or minor, PHYSICS 140/141 and 240/241 are required for the Numerical and Mathematical Physics options and strongly recommended for the other options. Some of the options have additional requirements as noted below.

### Requirements for the Submajor Program

The Mathematical Sciences Program is designed to provide broad training in basic mathematics together with some specialization in an area of application of mathematics. Each student must select one of the eight Program Options as a special area.

- Four basic courses (one course from each of the following four groups), completed with a grade of at least C-:
- Differential Equations: MATH 256, 286, or 316
- Discrete Math/Modern Algebra: MATH 312, 412, 465, or 493 (or prior to Fall 2012, 512)
- Analysis: MATH 351, 354, 450, 451, or 454
- Probability: MATH 425 or 525

- At least three courses from ONE of the Program Options listed below (the list of possible electives for each option is given on the departmental website: www.math.lsa.umich.edu/undergrad/):
- Discrete and Algorithmic Methods
- Numerical and Applied Analysis
- Operations Research and Modeling
- Probabilistic Methods
- Mathematical Economics
- Control Systems
- Mathematical Physics
- Mathematical Biology

- Two additional advanced mathematics (or related) courses, approved by a department advisor
- At least two of the courses in b and c must be MATH courses.

### Mathematical Science Program submajor (Fall 2011-Fall 2014) +

### Mathematical Science Program subconcentration (Fall 2010-Summer 2011) +

### Mathematical Science Program subconcentration (Winter 2010-Summer 2010) +

### Mathematical Science Program subconcentration (Fall 2009) +

### Mathematical Science Program subconcentration (Winter 2007 through Summer 2009) +

### Mathematical Science Program subconcentration ( Fall 2005-Fall 2006) +

### Mathematical Science Program subconcentration (Fall 2004 - Summer 2005 ) +

### Mathematical Sciences Program (through Summer 2004) +

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