*
Effective Winter 2021
*

**Exclusions:**

*An academic minor in Mathematics is not open to students with any major in Mathematics. However, a student who graduated with an academic minor in Mathematics may return to complete a major in Mathematics. Per LSA rules, at least 9 credits must be taken in residence. The student must earn an overall GPA of at least 2.0 for the minor. All in-residence credit MUST be taken in the Mathematics Department. In all cases, more advanced courses may be substituted with the approval of a math advisor. In particular, students who have satisfied the prerequisite with the Honors Sequence Math 295-296 or 217-297 will need to consult an advisor for the proper selection of courses. Other modifications can also be made with the approval of a math advisor. Finally, classes offered outside Mathematics CANNOT be used to satisfy the requirements of the Math Minor. *

### Advising

Students wishing to pursue a minor in Mathematics must develop a specific plan for its completion in consultation with an advisor. Appointments are scheduled on-line

Students are strongly urged to consult with a department advisor each term before selecting courses for the following term.

### Grade Policies

All courses for the minor program, including prerequisites, must be completed with a grade of at least a C-. Students with lower grades in prerequisite courses must receive special permission of the instructor to enroll in subsequent courses.

### Prerequisites

One of the sequences MATH 115&116, 175&176, 185&186, or 295&296, 217-297; or MATH 156. These all provide a thorough grounding in the calculus of functions of one variable.

Advanced Placement credits in MATH 120 and 121 also meet the prerequisite requirement.

Students who satisfy the prerequisites with the honors sequence 295-296 or 217-297 will need to consult an advisor for the proper selection of courses.

### Requirements

**Minimum Credits:**15

15-18 credits of courses, A student must select at least 5 courses consisting of at least 1 Basic Course and at least 2 Upper-Level Courses. No more than one course may be elected from each of the three areas under the Basic Courses.

**Basic courses:**

*Multivariable Calculus:*MATH 215, or 285*Linear Algebra:*MATH 214, 217, 417, or 419*Differential Equations:*MATH 216, or 286

**Upper-level courses:**

*Analysis/Differential Equations:*MATH 316, 351, 354, 404, 450, 451, 452, 454, 555*Algebra/Number Theory:*MATH 312, 389, 412, 420, 471, 475, 493, 494, 561, 571, 575*Geometry/Topology:*MATH 431, 433, 490*Applied Mathematics:*MATH 354, 371, 404, 423, 425, 450, 454, 462, 463, 471, 472, 550, 561, 563, 571*Discrete Mathematics:*MATH 310, 312, 389, 403, 412, 416, 420, 425, 465, 475, 481, 561, 566, 567, 582*Financial/Actuarial Mathematics:*MATH 423, 424, 472, 520, 521, 523, 524

### Mathematics (Minor) (Fall 2020)

*
Effective Fall 2020
*

**Exclusions:**

*An academic minor in Mathematics is not open to students with any major in Mathematics. However, a student who graduated with an academic minor in Mathematics may return to complete a major in Mathematics. Per LSA rules, at least 9 credits must be taken in residence. The student must earn an overall GPA of at least 2.0 for the minor. All in-residence credit MUST be taken in the Mathematics Department. In all cases, more advanced courses may be substituted with the approval of a math advisor. In particular, students who have satisfied the prerequisite with the Honors Sequence Math 295-296 will need to consult an advisor for the proper selection of courses. Other modifications can also be made with the approval of a math advisor. Finally, classes offered outside Mathematics CANNOT be used to satisfy the requirements of the Math Minor. *

### Advising

Students wishing to pursue a minor in Mathematics must develop a specific plan for its completion in consultation with an advisor. Appointments are scheduled on-line

Students are strongly urged to consult with a department advisor each term before selecting courses for the following term.

### Grade Policies

All courses for the minor program, including prerequisites, must be completed with a grade of at least a C-. Students with lower grades in prerequisite courses must receive special permission of the instructor to enroll in subsequent courses.

### Prerequisites

One of the sequences MATH 115&116, 175&176, 185&186, or 295&296; or MATH 156. These all provide a thorough grounding in the calculus of functions of one variable.

Advanced Placement credits in MATH 120 and 121 also meet the prerequisite requirement.

### Requirements

**Minimum Credits:**15

15-18 credits of courses, A student must select at least 5 courses consisting of at least 1 Basic Course and at least 2 Upper-Level Courses. No more than one course may be elected from each of the three areas under the Basic Courses.

**Basic courses:**

*Multivariable Calculus:*MATH 215, or 285*Linear Algebra:*MATH 214, 217, 417, or 419*Differential Equations:*MATH 216, or 286

**Upper-level courses:**

*Analysis/Differential Equations:*MATH 316, 351, 354, 404, 450, 451, 452, 454, 555*Algebra/Number Theory:*MATH 312, 389, 412, 420, 471, 475, 493, 513, 561, 571, 575*Geometry/Topology:*MATH 433, 490*Applied Mathematics:*MATH 354, 371, 404, 423, 425, 450, 454, 462, 463, 471, 472, 550, 561, 563, 571*Discrete Mathematics:*MATH 310, 312, 389, 412, 416, 420, 425, 465, 475, 481, 561, 566, 567, 582*Financial/Actuarial Mathematics:*MATH 423, 424, 472, 520, 521, 523, 524

### Mathematics (Minor) (Winter 2018 - Summer 2020)

*
Effective Winter 2018
*

**Exclusions:**

*An academic minor in Mathematics is not open to students with any major in Mathematics. However, a student who graduated with an academic minor in Mathematics may return to complete a major in Mathematics. Per LSA rules, at least 10 credits must be taken in residence. The student must earn an overall GPA of at least 2.0 for the minor. All in-residence credit MUST be taken in the Mathematics Department. In all cases, more advanced courses may be substituted with the approval of a math advisor. In particular, students who have satisfied the prerequisite with the Honors Sequence Math 295-296 will need to consult an advisor for the proper selection of courses. Other modifications can also be made with the approval of a math advisor. Finally, classes offered outside Mathematics CANNOT be used to satisfy the requirements of the Math Minor. *

### Advising

Students wishing to pursue a minor in Mathematics must develop a specific plan for its completion in consultation with an advisor. Appointments are scheduled on-line

Students are strongly urged to consult with a department advisor each term before selecting courses for the following term.

### Grade Policies

All courses for the minor program, including prerequisites, must be completed with a grade of at least a C-. Students with lower grades in prerequisite courses must receive special permission of the instructor to enroll in subsequent courses.

### Prerequisites

One of the sequences MATH 115&116, 175&176, 185&186, or 295&296; or MATH 156. These all provide a thorough grounding in the calculus of functions of one variable.

Advanced Placement credits in MATH 120 and 121 also meet the prerequisite requirement.

### Requirements

**Minimum Credits:**15

15-18 credits of courses, A student must select at least 5 courses consisting of at least 1 Basic Course and at least 2 Upper-Level Courses. No more than once course may be elected from each of the three areas under the Basic Courses.

**Basic courses:**

*Multivariable Calculus:*MATH 215, or 285*Linear Algebra:*MATH 214, 217, 417, or 419*Differential Equations:*MATH 216, or 286

**Upper-level courses:**

*Analysis/Differential Equations:*MATH 316, 351, 354, 404, 450, 451, 452, 454, 555*Algebra/Number Theory:*MATH 312, 389, 412, 420, 471, 475, 493, 513, 561, 571, 575*Geometry/Topology:*MATH 433, 490*Applied Mathematics:*MATH 354, 371, 404, 423, 425, 450, 454, 462, 463, 471, 472, 550, 561, 563, 571*Discrete Mathematics:*MATH 310, 312, 389, 412, 416, 420, 425, 465, 475, 481, 561, 566, 567, 582*Financial/Actuarial Mathematics:*MATH 423, 424, 472, 520, 521, 523, 524

### Mathematics (Minor) (Winter 2014 - Fall 2017)

*
Effective Winter 2014
*

**Exclusions:**

*An academic minor in Mathematics is not open to students with any major in Mathematics. However, a student who graduated with an academic minor in Mathematics may return to complete a major in Mathematics. The additional course work used to satisfy the requirements of the major must include 12 in residence, upper-level credit hours.*

### Advising

### Grade Policies

### Prerequisites

One of the sequences MATH 115&116, 175&176, 185&186, or 295&296; or MATH 156. These all provide a thorough grounding in the calculus of functions of one variable.

Advanced Placement credits in MATH 120 and 121 also meet the prerequisite requirement.

### Requirements

**Minimum Credits:**15

15-18 credits of courses, including either two courses from category A and three courses from category B, or one course from category A and four courses from category B. No more than one course may be elected from each of the three areas of category A. The courses in category B must be selected from exactly two of the six listed areas. A student planning to take linear algebra and differential equations should note that not all of MATH 215, 216, and 217 will count toward the minor, whereas all of MATH 215, 217, and 316 will.

**Category A:** Second-year courses:

*Multivariable Calculus:*MATH 215, 255, or 285*Linear Algebra:*MATH 214, 217, 417, or 419*Differential Equations:*MATH 216, 256, or 286

**Category B:** Upper-level courses:

*Analysis/Differential Equations:*MATH 316, 351, 354, 404, 450, 451, 452, 454, 555*Algebra/Number Theory:*MATH 312, 389, 412, 420, 471, 475, 493, 513, 561, 575*Geometry/Topology:*MATH 433, 490, 531*Applied Mathematics:*MATH 354, 371, 404, 423, 425, 450, 454, 462, 463, 471, 472, 550, 561, 563*Discrete Mathematics:*MATH 310, 312, 389, 412, 416, 425, 465, 475, 481, 493, 561, 566, 567, 582*Financial/Actuarial Mathematics:*MATH 423, 424, 520, 523, 524

### Mathematics Minor (Fall 2012-Fall 2013)

Effective Fall 2012-Fall 2013

*A minor in Mathematics is not open to students with any major in Mathematics.*

The minor in Mathematics is designed to enable a student with a significant interest in Mathematics to deepen his/her knowledge while pursuing a major in another field. While the major will often be in a field that makes significant use of mathematics, such as a science or a quantitative social science, it may be in any area of study.

Students wishing to pursue a minor in Mathematics must develop a specific plan for its completion in consultation with an advisor. Appointments are scheduled on-line at:

www.math.lsa.umich.edu/undergrad/

**Prerequisites to the Minor**

One of the sequences MATH 115&116, 175&176, 185&186, or 295&296; or MATH 156. These all provide a thorough grounding in the calculus of functions of one variable. Advanced Placement credits in MATH 120 and 121 also meet the prerequisite requirement

**Requirements for the Minor **

15-18 credits of courses, including either two courses from category A and three courses from category B, or one course from category A and four courses from category B. No more than one course may be elected from each of the three areas of category A. The courses in category B must be selected from exactly two of the six listed areas. A student planning to take linear algebra and differential equations should note that not all of MATH 215, 216, and 217 will count toward the minor, whereas all of MATH 215, 217, and 316 will.

All courses for the minor program must be completed with a grade of at least a C-.

**Category A:** Second-year courses:

- Multivariable Calculus: MATH 215, 255, or 285
- Linear Algebra: MATH 214, 217, 417, or 419
- Differential Equations: MATH 216, 256, or 286

**Category B:** Upper-level courses:

- Analysis/Differential Equations: MATH 316, 351, 354, 404, 450, 451, 452, 454, 555
- Algebra/Number Theory: MATH 312, 389, 412, 420, 475, 493 (or prior to Fall 2012, 512), 513, 561, 575
- Geometry/Topology: MATH 433, 490, 531
- Applied Mathematics: MATH 354, 371, 404, 423, 425, 450, 454, 462, 463, 471, 472, 550, 563
- Discrete Mathematics: MATH 310, 312, 389, 412, 416, 425, 465, 475, 481, 493 (or prior to Fall 2012, 512), 561, 566, 567, 582
- Financial/Actuarial Mathematics: MATH 423, 424, 520, 523, 524