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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.

 

Honors Mathematics submajor

Effective Fall 2012 

Outstanding students may elect an Honors major in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies elsewhere (e.g.,  in the humanities, law, ...).

Students intending an Honors major are strongly advised to take one of the Honors introductory sequences MATH 156-256, 175-286, 185-286, or 295-396, or some combination of these four. The sequence  MATH 295-396 is very theoretical. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

The Honors major program must include at least nine courses: (A) four basic courses, (B) four elective courses, and (C) one cognate course as described below.

  1. The basic courses consist of one from each of groups 1, 2, 3, and 4 or groups 1, 2, 5,  6 below, completed with a grade of at least C-:
    1.  Linear Algebra: MATH 420 or  513
    2.  Analysis: MATH 451
    3.  Modern Algebra: MATH 493 (or prior to Fall 2012, 512)
    4.  Geometry/Topology: MATH 433, 490,  or 590
    5.  Probability: MATH 525
    6.  Differential Equations: MATH 404, 454, 556, 557,  or 558

      Students who complete MATH 295&296, with a grade of at least a C- are exempt from MATH 451. Students who complete MATH 295-395, with a grade of at least a C- are exempt from MATH 420.
  2. The four elective courses must be chosen in consultation with an Honors advisor to provide a cohesive program which explores an area of mathematics in some depth. There is a good deal of freedom allowed here, but a random selection of courses will not satisfy this requirement. The courses should be chosen from the approved list or have a course number 600 or above. MATH 289 is a repeatable 1-credit course and can be used to satisfy the elective requirement only if taken for a total of 3 credits. A Mathematics Honors advisor may approve another mathematics course or a course from another department with advanced mathematical content as one of these elective courses. The Mathematics Honors advisor may ask that the student arrange supplemental work in a given class  conform to expectations for an Honors elective. A student electing to satisfy requirement A by choosing courses from groups 1, 2, 5, and 6 must complete a course in Complex Analysis (MATH 555 or 596) as one of his/her electives.
  3. One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors major with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor (appointments scheduled at: www.math.lsa.umich.edu/undergrad/) no later than the second term of their sophomore year.

 

 

Honors Mathematics submajor (Fall 2011-Summer 2012) +

Effective Fall 2011-Summer 2012

Outstanding students may elect an Honors major in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies elsewhere (e.g.,  in the humanities, law, ...).

Students intending an Honors major are strongly advised to take one of the Honors introductory sequences MATH 156&256, 175&286, 185&286, or 295&396, or some combination of these four. The sequence  MATH 295&396 is very theoretical. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

The Honors major program must include at least nine courses: (A) four basic courses, (B) four elective courses, and (C) one cognate course as described below.

A. The basic courses consist of one from each of groups 1, 2, 3, and 4 or groups 1, 2, 5, and 6 below, completed with a grade of at least C-:

1. Linear Algebra: MATH 513

2. Analysis: MATH 451

3. Modern Algebra: MATH 512

4. Geometry/Topology: MATH 433, 490,  or 590

5. Probability: MATH 525

6. Differential Equations: MATH 404, 454, 556, 557,  or 558

Students who complete MATH 295-296, with a grade of at least a C- are exempt from MATH 451. Students who complete MATH 295-395, with a grade of at least a C- are exempt from MATH 513.

B. The four elective courses must be chosen in consultation with an Honors advisor to provide a cohesive program which explores an area of mathematics in some depth. There is a good deal of freedom allowed here, but a random selection of courses will not satisfy this requirement. The courses should be chosen from the approved list or have a course number 600 or above. MATH 289 is a repeatable 1-credit course and can be used to satisfy the elective requirement only if taken for a total of 3 credits. A Mathematics Honors advisor may approve another mathematics course or a course from another department with advanced mathematical content as one of these elective courses. The Mathematics Honors advisor may ask that the student arrange supplemental work in a given class  conform to expectations for an Honors elective. A student electing to satisfy requirement A by choosing courses from groups 1, 2, 5, and 6 must complete a course in Complex Analysis (MATH 555 or 596) as one of his/her electives.

C. One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors major with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor (appointments scheduled at: www.math.lsa.umich.edu/undergrad/) no later than the second term of their sophomore year.

Honors Mathematics subconcentration (Fall 2010-Summer 2011) +

Effective Fall 2010 - Summer 2011 

Outstanding students may elect an Honors concentration in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies elsewhere (e.g.,  in the humanities, law, ...).

Students intending an Honors concentration are strongly advised to take one of the Honors introductory sequences MATH 156&256, 175&286, 185&286, or 295&396, or some combination of these four. The sequence  MATH 295&396 is very theoretical. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

The Honors concentration program must include at least nine courses: (A) four basic courses, (B) four elective courses, and (C) one cognate course as described below.

A. The basic courses consist of one from each of groups 1, 2, 3, and 4 or groups 1, 2, 5, and 6 below, completed with a grade of at least C-:

1. Linear Algebra: MATH 513

2. Analysis: MATH 451

3. Modern Algebra: MATH 512

4. Geometry/Topology: MATH 433, 490, 531, 532, or 590

5. Probability: MATH 525

6. Differential Equations: MATH 404, 454, 556, 557,  or 558

Students who complete MATH 295-296, with a grade of at least a C- are exempt from MATH 451. Students who complete MATH 295-395, with a grade of at least a C- are exempt from MATH 513.

B. The four elective courses must be chosen in consultation with an Honors advisor to provide a cohesive program which explores an area of mathematics in some depth. There is a good deal of freedom allowed here, but a random selection of courses will not satisfy this requirement. The courses should be chosen from the approved list or have a course number 600 or above. MATH 289 is a repeatable 1-credit course and can be used to satisfy the elective requirement only if taken for a total of 3 credits. A Mathematics Honors advisor may approve another mathematics course or a course from another department with advanced mathematical content as one of these elective courses. The Mathematics Honors advisor may ask that the student arrange supplemental work in a given class  conform to expectations for an Honors elective. A student electing to satisfy requirement A by choosing courses from groups 1, 2, 5, and 6 must complete a course in Complex Analysis (MATH 555 or 596) as one of his/her electives.

C. One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors concentration with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor (appointments scheduled at: www.math.lsa.umich.edu/undergrad/) no later than the second term of their sophomore year.

Honors concentration subconcentration (Spring 2006 through Summer 2010) +

Effective Spring 2006 through Summer 2010

Outstanding students may elect an Honors concentration in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies in the humanities, law, medicine, or the sciences.

Students intending an Honors concentration are strongly advised to take one of the Honors introductory sequences MATH 156-256, (174, 175 or 185)-286 or 295-396, or some combination of these three. The sequence of MATH 295-396 is very theoretical. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

  1. Four basic courses (one course from four of the following groups), completed with a grade of at least C-. Students must complete one course from each of the areas [1, 2, 3, 4] or [1, 2, 5, 6].
    1. Modern Algebra: MATH 512
    2. Geometry/Topology: MATH 433, 490, 531, 532, or 590
    3. Linear Algebra: MATH 513
    4. Analysis: MATH 451
    5. Probability: MATH 525
    6. Differential Equations: MATH 404, 454, 556, 557, or 558.
  2. Four elective (mathematics) courses, chosen with the approval of the Honors advisor.
  3. One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who complete MATH 295-296, with a grade of at least a C- are exempted from MATH 451. If you complete MATH 295-395, with a grade of at least C-, you are exempt from MATH 513.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors concentration with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor no later than the second term of their sophomore year.

Honors Mathematics subconcentration (Fall 2005 to Winter 2006) +

Effective Fall 2005 through Winter 2006 

Outstanding students may elect an Honors concentration in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies in the humanities, law, medicine, or the sciences.

Students intending an Honors concentration are strongly advised to take one of the Honors introductory sequences MATH 156-256, (175 or 185)-286 or 295-396, or some combination of these three. The sequence of MATH 295-396 is very theoretical. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

(Students should always consult the Undergraduate Office for its program requirements which take precedence over the descriptions in this Bulletin.)

a.   Four basic courses (one course from four of the following groups), completed with a grade of at least C-. Students must satisfy the 3rd and 4th areas or the 5th and 6th areas.

1. Linear Algebra: MATH 513

2. Analysis: MATH 451

3. Modern Algebra: MATH 512

4. Geometry/Topology: MATH 433, 490, 531, 532, or 590

5. Probability: MATH 525

6. Differential Equations: MATH 404, 454, 556, 557, or 558.

b.   Four elective (mathematics) courses, chosen with the approval of the Honors advisor.

c.   One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who complete MATH 295-296, with a grade of at least a C- are exempted from MATH 451. If you complete MATH 295-395, with a grade of at least C-, you are exempt from MATH 513.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors concentration with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor (appointments scheduled in 2084 East Hall) no later than the second term of their sophomore year.

Honors Mathematics subconcentration (Fall 2004-Summer 2005) +

Effective  Fall 2004-Summer 2005

Outstanding students may elect an Honors concentration in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies in the humanities, law, medicine, or the sciences.

Students intending an Honors concentration are strongly advised to take one of the Honors introductory sequences MATH 156-256, (175 or 185)-286 or 295-396, or some combination of these three. The sequence of MATH 295-396 is very theoretical. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

(Students should always consult the Undergraduate Office for its program requirements which take precedence over the descriptions in this Bulletin.)

a.   Four basic courses (one course from four of the following groups), completed with a grade of at least C-. Students must satisfy the 3rd and 4th areas or the 5th and 6th areas.

1. Linear Algebra: MATH 513

2. Modern Algebra: MATH 512

3. Analysis: MATH 451

4. Geometry/Topology: MATH 433, 490, 531, 532, or 590

5. Probability: MATH 525

6. Differential Equations: MATH 454, 556, 557, or 558.

b.   Four elective (mathematics) courses, chosen with the approval of the Honors advisor.

c.   One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who complete MATH 295-296, with a grade of at least a C- are exempted from MATH 451. If you complete MATH 295-395, with a grade of at least C-, you are exempt from MATH 513.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors concentration with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor (appointments scheduled in 2084 East Hall) no later than the second term of their sophomore year.

Mathematics Honors Concentration (through Summer 2004) +

Effective through Summer 2004

Outstanding students may elect an Honors concentration in Mathematics. The Honors Program is designed not only for students who expect to become mathematicians but also for students whose ultimate professional goal lies in the humanities, law, medicine, or the sciences.

Students intending an Honors concentration are strongly advised to take one of the Honors introductory sequences MATH 156-256, (175 or 185)-286 or 295-396, or some combination of the two. Eight credits of PHYSICS and familiarity with a high-level computer language are strongly recommended.

(Students should consult the pamphlet Undergraduate Programs of the Department of Mathematics for its program requirements which take precedence over the descriptions in this Bulletin.)

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

    • Linear Algebra: MATH 513

    • Modern Algebra: MATH 512

    • Analysis: MATH 451

    • Geometry/Topology: MATH 433, 490, 531, 532, or 590

  2. Four elective (mathematics) courses, chosen with the approval of the Honors advisor.

  3. One cognate course from outside the Mathematics department, but containing significant mathematical content, chosen with the approval of the Honors advisor.

Students who complete MATH 295-296 may be exempted from MATH 451. If you complete MATH 295-396, you are exempt from MATH 513.

Students who, in the judgment of the Departmental Honors Committee, have completed an Honors concentration with distinction are granted a citation upon graduating. Interested students should discuss their program and the specific requirements for obtaining the citation with a Mathematics Honors advisor (appointments scheduled in 2084 East Hall) no later than the second term of their sophomore year.


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