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# Pure Math Submajor

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### Mathematics : Contact information +

### Mathematics Advising

Appointments are scheduled online at: www.math.lsa.umich.edu/undergrad/. Students are strongly urged to consult with a department advisor each term before selecting courses for the following term.

Special Departmental PoliciesAll prerequisite courses must be satisfied with a grade of C– or above. Students with lower grades in prerequisite courses must receive special permission of the instructor to enroll in subsequent courses.

### 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

### Pure Mathematics submajor

Effective Fall 2011

The Pure Mathematics Program is designed to provide broad training in basic modern mathematics including an introduction to the methods of rigorous mathematical proof and exposure to the major areas: Algebra, Analysis, and Geometry/Topology.

All Pure Mathematics majors are also strongly encouraged to take PHYSICS 140-141 and 240-241 and to 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.

- Four basic courses (one course from each of the following four groups), completed with a grade of at least C-:
- Modern Algebra: MATH 412 or 493 (or prior to Fall 2012, 512)
- Differential Equations: MATH 256, 286, or 316
- Analysis: MATH 351 or 451
- Geometry/Topology: MATH 433, 490, or 590

- Four elective courses (mathematics) chosen from a list of approved electives and approved by a department advisor.
- One cognate course outside the Mathematics Department, but with advanced mathematical content.

### Pure Mathematics subconcentration (Fall 2004-Summer 2011) +

### Pure Mathematics (Through Summer 2004) +

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