## Mathematics (Major)

*Effective Winter 2021*

### Advising

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

### Grade Policies

All 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.

**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).

### Prerequisites

Most programs require completion of one of the sequences ending with MATH 215-217, 285-217, or 295-296. 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.)

### Requirements

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

### Residency

**Minimum number of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans) Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

## Mathematics of Finance and Risk Management (Sub-Major)

*
Effective Winter 2021
*

### Advising

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

### Grade Policies

All 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.

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.
- ECON 101, ECON 102, and EECS 183

### Prerequisites

**Prerequisites for all Mathematics Majors**

Completion of one of the sequences ending with MATH 215-217, 285-217, or 295-296. 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.)

**Additional prerequisites for the Mathematics of Finance and Risk Management Submajor**

MATH 215&217, 285&217 or MATH 295&296. Each student must also complete: ECON 101 and 102 and EECS 183 all elected on a graded basis. The grade for ECON 101, ECON 102, and EECS 183 will be included in the major GPA.

### Requirements

A minimum of 10 courses, selected from the following:

**Four basic courses**(one from each of the following four groups), completed with a grade of at least C-:*Differential Equations:*MATH 286 or 316*Probability:*MATH 525*Statistics:*STATS 426*Analysis:*Math 351 or 451

**Four special courses for Financial Mathematics:**

MATH 423, MATH 474, MATH 472 (or 471), MATH 526.**Two additional courses**in areas relating to Financial Mathematics approved by an advisor.

### Residency

Minimum number** of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans): Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

### Distribution Policy

No course used to fulfill a major requirement may be used toward the LSA Distribution Requirement. In addition, courses in the MATH subject area may not be used toward the Distribution Requirement.### Mathematics of Finance and Risk Management (Sub-Major) (Winter 2020 - Fall 2020)

## Mathematics (Major)

*Effective Winter 2021*

### Advising

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

### Grade Policies

All 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.

**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).

### Prerequisites

Most programs require completion of one of the sequences ending with MATH 215-217, 285-217, or 295-296. 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.)

### Requirements

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

### Residency

**Minimum number of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans) Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

## Mathematics of Finance and Risk Management (Sub-Major)

*
Effective Winter 2020
*

### Advising

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

### Grade Policies

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.
- ECON 101, ECON 102, and EECS 183

### Prerequisites

**Prerequisites for all Mathematics Majors**

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.)

**Additional prerequisites for the Mathematics of Finance and Risk Management Submajor**

MATH 215&217, 255&217, 285&217 or MATH 295&296. Each student must also complete: ECON 101 and 102 and EECS 183 all elected on a graded basis. The grade for ECON 101, ECON 102, and EECS 183 will be included in the major GPA.

### Requirements

A minimum of 10 courses, selected from the following:

**Four basic courses**(one from each of the following four groups), completed with a grade of at least C-:*Differential Equations:*MATH 286 or 316*Probability:*MATH 425*Statistics:*STATS 426*Analysis:*Math 351 or 451

**Four special courses for Financial Mathematics:**

MATH 423, MATH 472 (or 471), MATH 525, MATH 526.**Two additional courses**in areas relating to Financial Mathematics approved by an advisor.

### Residency

Minimum number** of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans): Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

### Distribution Policy

No course used to fulfill a major requirement may be used toward the LSA Distribution Requirement. In addition, courses in the MATH subject area may not be used toward the Distribution Requirement.### Mathematics of Finance and Risk Management (Sub-Major) (Fall 2019)

## Mathematics (Major)

*Effective Winter 2021*

### Advising

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

### Grade Policies

**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).

### Prerequisites

Most programs require completion of one of the sequences ending with MATH 215-217, 285-217, or 295-296. 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.)

### Requirements

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

### Residency

**Minimum number of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans) Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

## Mathematics of Finance and Risk Management (Sub-Major)

*
Effective Fall 2019
*

### Advising

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

### Grade Policies

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

### Prerequisites

**Prerequisites for all Mathematics Majors**

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.)

**Additional prerequisites for the Mathematics of Finance and Risk Management Submajor**

MATH 215&217, 255&217, 285&217 or MATH 295&296. Each student must also complete: ECON 101 and 102 and EECS 183 all elected on a graded basis. The grade for ECON 101, ECON 102, and EECS 183 will be included in the major GPA.

### Requirements

**Four basic courses**(one from each of the following four groups), completed with a grade of at least C-:*Differential Equations:*MATH 286 or 316*Probability:*MATH 425*Statistics:*STATS 426*Finance:*MATH 423

**Four special courses for Financial Mathematics:**

MATH 351 (or 451), MATH 472 (or 471), MATH 525, MATH 526.- Two additional courses in areas relating to Financial Mathematics approved by an advisor.

### Residency

Minimum number** of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans): Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

### Distribution Policy

No course used to fulfill a major requirement may be used toward the LSA Distribution Requirement. In addition, courses in the MATH subject area may not be used toward the Distribution Requirement.### Mathematics of Finance and Risk Management (Sub-Major) (Fall 2017 - Summer 2019)

## Mathematics (Major)

*Effective Winter 2021*

### Advising

### Grade Policies

**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).

### Prerequisites

### Requirements

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

### Residency

**Minimum number of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans) Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

## Mathematics of Finance and Risk Management (Sub-Major)

*
Effective Fall 2017
*

### Advising

### Grade Policies

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

### Prerequisites

**Prerequisites for all Mathematics Majors**

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.)

**Additional prerequisites for the Mathematics of Finance and Risk Management Submajor**

MATH 215&217, 255&217, 285&217 or MATH 295&296. Each student must also complete: ECON 101 and 102 and EECS 183 all elected on a graded basis. The grade for ECON 101, ECON 102, and EECS 183 will be included in the major GPA.

### Requirements

**Four basic courses**(one from each of the following four groups), completed with a grade of at least C-:*Differential Equations:*MATH 286 or 316*Probability:*MATH 425*Statistics:*STATS 426*Finance:*MATH 423

**Four special courses for Financial Mathematics:**

MATH 451, MATH 472 (or 471), MATH 525, MATH 526.- Two additional courses in areas relating to Financial Mathematics approved by an advisor.

### Residency

** of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans): Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

### Distribution Policy

No course used to fulfill a major requirement may be used toward the LSA Distribution Requirement. In addition, courses in the MATH subject area may not be used toward the Distribution Requirement.### Mathematics of Finance and Risk Management (Sub-Major) (Winter 2014 - Summer 2017)

## Mathematics (Major)

*Effective Winter 2021*

### Advising

### Grade Policies

**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).

### Prerequisites

### Requirements

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

### Residency

**Minimum number of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans) Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

## Mathematics of Finance and Risk Management (Sub-Major)

*
Effective Winter 2014
*

### 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.

### Grade Policies

### Prerequisites

### Requirements

**Four basic courses**(one from each of the following four groups), completed with a grade of at least C-:*Differential Equations:*MATH 216, 256, 286, or 316*Probability:*MATH 425*Statistics:*STATS 426*Finance:*MATH 423

**Four special courses for Financial Mathematics:**

MATH 451, MATH 472 (or 471), MATH 525, MATH 526.- Two additional courses in areas relating to Financial Mathematics approved by an advisor.

### Residency

** of courses taken in residence for transfer students majoring in Mathematics** (applies to all sub-plans): Students should take a minimum of 18 credits at the University of Michigan, Ann Arbor campus. Six of these credits must come from the basic courses and nine from the core courses and/or cognate courses. The 18 credits may include pre-requisites taken in Math.

### Distribution Policy

No course used to fulfill a major requirement may be used toward the LSA Distribution Requirement. In addition, courses in the MATH subject area may not be used toward the Distribution Requirement.### Actuarial Mathematics and Mathematics of Finance & Risk Management (Winter 2010 - Fall 2013)

Effective Winter 2010-Fall 2013

Effective Winter 2014, this subMajor was split into the Actuarial Mathematics subMajor and the **Mathematics of Finance and Risk Management** ( **Financial Mathematics** )

The **Actuarial Mathematics** Program is designed to provide broad training in the basic mathematics underlying the operations of private and social insurance and employee benefit plans. The courses are organized to assist the student to prepare for several of the examinations of the Casualty Actuarial Society and the Society of Actuaries. Non-credit review classes for some of the professional actuarial examinations are organized each term; ask your actuarial advisor about the time and place of these classes. It is strongly recommended that some of these exams be passed before graduation. Summer internships are an important component of the educational program and students are strongly encouraged to seek an internship no later than the conclusion of their junior year. Students are encouraged to take either MATH 422 or 427 to satisfy their upper-level writing requirement.

The program in **Mathematics of Finance and Risk Management** (or **Financial Mathematics** for short) is designed to provide a broad education in the quantitative aspects of risk management and finance. Financial instruments which are engineered today require sophisticated mathematical techniques for their valuation. These techniques come from the fields of probability, statistics and differential equations.

**Prerequisites:** MATH 215&217, 255&217, 285&217 or MATH 295&296. Each student must also complete: ECON 101 and 102 and EECS 183 all elected on a graded basis. The grade for ECON 101, ECON 102, and EECS 183 will be included in the major GPA.

**Four basic courses**(one from each of the following four groups), completed with a grade of at least C-:*Differential Equations:*MATH 216, 256, 286, or 316*Probability:*MATH 425*Statistics:*STATS 426*Finance:*MATH 423

**Four special courses for Actuarial Mathematics:**

MATH 424, MATH 520 and 521 (or 522), and MATH 523.

**Four special courses for Financial Mathematics:**

MATH 451, MATH 472 (or 471), MATH 525, MATH 526.- Two additional courses in areas relating to Actuarial or Financial Mathematics approved by an advisor.