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Mathematics MajorThe 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

Mathematics

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.)

Field of Major

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

  1. All MATH courses.
  2. All courses used to meet requirements for the major.
  3. All required cognate courses (if any).
  4.  All mandatory prerequisites.
  5. EECS 183
  6. 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.

 

Effective Fall 2011

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 171-173). 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.

  1. 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
  2. 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
  3.  Two additional advanced mathematics (or related) courses, approved by a department advisor
  4.  At least two of the courses in b and c must be MATH courses.

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

Effective Fall 2010-Summer 2011  

Prerequisites to subconcentration. One of the following 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. For those not pursuing either a Physics concentration or academic 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.

Subconcentration 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.

  1. 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 512
    • Analysis: MATH 351, 354, 450, 451, or 454
    • Probability: MATH 425 or 525
  2. 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

     

    *Mathematical Physics. Among all of the disciplines which make significant use of mathematics, physics has the longest history. Indeed, several areas of mathematics were developed for the purpose of solving problems in physics. This option allows a student to pursue interests in physics which use undergraduate mathematics. It is designed to facilitate a concurrent concentration in Physics. Every program must include at least two of the Physics courses from the list below. Note that although PHYSICS 401 is prerequisite to several of these, it does not count as one of the option courses

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

 

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

Effective Winter 2010 through Summer 2010 

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.

Additional prerequisites: EECS 183 must be taken on a graded basis and will be included in the concentration GPA. Exceptions my in some cases be granted by a Math faculty advisor. For the Numerical and Applied Analysis option, 8 credits of PHYSICS.

  1. 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 512
    • Analysis: MATH 351, 354, 450, 451, or 454
    • Probability: MATH 425 or 525
  2. 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:
    • Discrete and Algorithmic Methods
    • Numerical and Applied Analysis
    • Operations Research and Modeling
    • Probabilistic Methods
    • Mathematical Economics
    • Control Systems
    • Mathematical Biology
    • Mathematical Physics
  3. Two additional advanced mathematics (or related) courses, approved by a concentration advisor
  4. At least two of the courses in b and c must be MATH courses.

Mathematical Science Program subconcentration (Fall 2009) +

 

Effective Fall 2009 

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.

Additional prerequisites: One term of computer programming (EECS 183 or the equivalent) and for the Numerical and Applied Analysis option, 8 credits of PHYSICS.

  1. 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 512
    • Analysis: MATH 351, 354, 450, 451, or 454
    • Probability: MATH 425 or 525
  2. 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):
    • Discrete and Algorithmic Methods
    • Numerical and Applied Analysis
    • Operations Research and Modeling
    • Probabilistic Methods
    • Mathematical Economics
    • Control Systems
    • Mathematical Biology
    • Mathematical Physics
  3. Two additional advanced mathematics (or related) courses, approved by a concentration advisor
  4. At least two of the courses in b and c must be MATH courses.

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

(Effective Winter 2007 through Summer 2009)

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.

Additional prerequisites: One term of computer programming (EECS 183 or the equivalent) and for the Numerical and Applied Analysis option, 8 credits of PHYSICS.

  1. Four basic courses (one course from each of the following four groups), completed with a grade of at least C-:
    • Differential Equations: MATH 216, 256, 286, or 316
    • Discrete Math/Modern Algebra: MATH 312, 412, 465, or 512
    • Analysis: MATH 351, 354, 450, 451, or 454
    • Probability: MATH 425 or 525
  2. 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: http://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 Biology
    • Mathematical Physics
  3. Two additional advanced mathematics (or related) courses, approved by a concentration advisor
  4. At least two of the courses in b and c must be MATH courses. Custom Tag

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

Effective Fall 2005-Fall 2006

Additional prerequisites: One term of computer programming (EECS 183 or the equivalent) and for the Numerical and Applied Analysis option, 8 credits of PHYSICS.

  1. Four basic courses (one course from each of the following four groups), completed with a grade of at least C-:
    • Differential Equations: MATH 216, 256, 286, or 316
    • Discrete Math/Modern Algebra: MATH 312, 412, or 512
    • Analysis: MATH 351, 354, 450, 451, or 454
    • Probability: MATH 425 or 525
  2. 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
  3. Two additional advanced mathematics (or related) courses, approved by a concentration advisor
  4. At least two of the courses in b and c have to be MATH courses.

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

(effective Fall 2004 - Summer 2005 )

Additional prerequisites: One term of computer programming (EECS 183 or the equivalent) and for the Numerical and Applied Analysis option, 8 credits of PHYSICS.

a.   Four basic courses (one course from each of the following four groups), completed with a grade of at least C-:

Differential Equations: MATH 216, 256, 286, or 316

Discrete Math/Modern Algebra: MATH 312, 412, or 512

Analysis: MATH 354, 450, 451, or 454

Probability: MATH 425 or 525

b.   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:

      http://www.math.lsa.umich.edu/undergrad/index.shtml):

Discrete and Algorithmic Methods

Numerical and Applied Analysis

Operations Research and Modeling

Probabilistic Methods

Mathematical Economics

Mathematical Physics

Control Systems

Mathematical Biology

c.   Two additional advanced mathematics (or related) courses, approved by a concentration advisor

d.   At least two of the courses in b and c have to be MATH courses.

Mathematical Sciences Program (through Summer 2004) +

(effective through Summer 2004)

Additional prerequisites:One term of computer programming (EECS 183 or the equivalent) and for the Numerical and Applied Analysis option, 8 credits of PHYSICS.

  1. Four basic courses (one course from each of the following four groups):

    • Differential Equations: MATH 216, 256, 286, or 316
    • Discrete Math/Modern Algebra: MATH 312, 412, or 512
    • Analysis: MATH 354, 450, 451, or 454
    • Probability: MATH 425 or 525

  2. At least three courses from ONE of the Program Options listed below (the list of possible electives for each option is given in the Undergraduate Programs pamphlet described above):

    • Discrete and Algorithmic Methods
    • Numerical and Applied Analysis
    • Operations Research and Modeling
    • Probabilistic Methods
    • Mathematics Economics
    • Mathematical Economics
    • Mathematical Physics
    • Control Systems
    • Mathematical Biology

  3. Two additional advanced mathematics (or related) courses, approved by a concentration advisor

 


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