# 2024-2025 Undergraduate & Graduate Catalog

## Bachelor of Arts or Bachelor of Science in Mathematics

- Requirements for a Major in Mathematics - Theoretical Mathematics Emphasis
- Requirements for a Major in Mathematics - Applied Mathematics Emphasis
- Requirements for a Major in Mathematics - Secondary Certification Emphasis (45-46 Credits)
- Suggested Order of Coursework for a Major in Mathematics

### Requirements for a Major in Mathematics - Theoretical Mathematics Emphasis

Students planning a major in mathematics with theoretical mathematics emphasis must complete a total of 15 courses (49-53 credits) divided into three categories; Required, Required Electives and Computer Science/Statistics courses. These are described as follows:

#### Course Requirements

All students with a major in mathematics with theoretical mathematics emphasis must complete the following courses:

- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 203 - Calculus III (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 205 - Linear Algebra II (3 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 350 - Modern Algebra I (3 credits)
- MTH 408 - Real Analysis 1 (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)
**OR**MTH 496 - Senior Thesis (Capstone) (3 credits)

**Total Course Requirements:** 9 courses/31credits

#### Elective Course Requirements

Take four additional courses from the following list for a total of 13 courses. At least 12 courses in mathematics (MTH) and at least one additional 400-level course besides the required courses:

- MTH 300 - Vector Analysis (3 credits)
**OR**MTH 401 - Mathematics for the Physical Sciences (4 credits) - MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 305 - Mathematical Modeling (3 credits)
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 360 - Operations Research (3 credits)
- MTH 402 - Complex Variables (3 credits)
- MTH 405 - Numerical Analysis (3 credits)
- MTH 406 - Linear Algebra III (3 credits)
- MTH 409 - Real Analysis 2 (3 credits)
- MTH 431 - Non-Euclidean Geometry (3 credits)
- MTH 441 - Topology (3 credits)
- MTH 450 - Modern Algebra II (3 credits)
- MTH 465 - Automata and Theory of Computation (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)
- MTH 496 - Senior Thesis (Capstone) (3 credits)
- MTH 498 - Project-based Applied Mathematics (Capstone) (3 credits)
- STA 412 - Mathematical Statistics I (4 credits)

If you are a double major, see your math faculty advisor to discuss substituting one course from your other major with a substantial math prerequisite (at least MTH 201 or MTH 204) in place of one class on this list.

**Total Electives:** 4 courses/12-14 credits

#### Computer Science/Statistics Requirements

All students seeking a major in mathematics with theoretical mathematics emphasis must complete the following courses:

- CIS 161 - Computing for Data Science Applications I (3 credits) Recommended.

**OR**CIS 162 - Computer Science I (4 credits) - STA 312 - Probability and Statistics (3 credits)
**OR**STA 412 - Mathematical Statistics I (4 credits)

**Total Computer Science/Statistics Requirements:** 2 courses/6-8 credits

### Preparation for Graduate Work in Theoretical Mathematics

Majors who plan to complete graduate work in mathematics are encouraged to

- take as many upper-division mathematics courses as possible from the courses listed in additional mathematics courses;
- take MTH 450 or MTH 409 as one additional 400-level course; and
- consult with their advisor about other courses that might be appropriate for their interests and about procedures for applying to graduate school.

### Requirements for a Major in Mathematics - Applied Mathematics Emphasis

All students with a major in mathematics with applied mathematics emphasis must complete a total of 15 courses (48-53 credits) divided into three categories; required, required electives and required computer science/statistics courses. These are described as follows:

#### Course Requirements

All students with a major in mathematics with applied mathematics emphasis must complete the following courses:

- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 203 - Calculus III (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 205 - Linear Algebra II (3 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 305 - Mathematical Modeling (3 credits)
- MTH 360 - Operations Research (3 credits)
- MTH 405 - Numerical Analysis (3 credits)
- MTH 490 - Mathematics Internship Seminar (2 credits) Capstone
**OR**MTH 498 - Project-based Applied Mathematics (Capstone) (3 credits)

**Total Course Requirements:** 11 courses/36-37credits

#### Elective Course Requirements

Take additional courses from the following list for a total of 13. At least one from this list must be a 400-level MTH course, and at most one from this list can have a non-MTH prefix.

- MTH 300 - Vector Analysis (3 credits)
**OR**MTH 401 - Mathematics for the Physical Sciences (4 credits) - MTH 315 - Discrete Mathematics (3 credits)
- MTH 350 - Modern Algebra I (3 credits)
- MTH 402 - Complex Variables (3 credits)
- MTH 406 - Linear Algebra III (3 credits)
- MTH 408 - Real Analysis 1 (3 credits)
- MTH 441 - Topology (3 credits)
- MTH 450 - Modern Algebra II (3 credits)
- MTH 465 - Automata and Theory of Computation (3 credits)
- MTH 496 - Senior Thesis (Capstone) (3 credits)
- MTH 498 - Project-based Applied Mathematics (Capstone) (3 credits)
- STA 412 - Mathematical Statistics I (4 credits)

If you are a double major, see your MTH FACULTY advisor to discuss substituting one course from your other major with a substantial math prerequisite (at least MTH 201 or MTH 204) in place of one class on this list.

**Total Electives:** 2 courses/6-8 credits

#### Computer Science/Statistics Requirements

All students seeking a major in mathematics with applied mathematics emphasis must complete the following courses:

- CIS 161 - Computing for Data Science Applications I (3 credits) Recommended.

**OR**CIS 162 - Computer Science I (4 credits) - STA 216 - Intermediate Applied Statistics (3 credits)
**OR**STA 312 - Probability and Statistics (3 credits)**OR**STA 412 - Mathematical Statistics I (4 credits) (STA 412 may not count as both the computer science/statistics requirement and elective)

**Total Computer Science/Statistics Requirement:** 2 courses/6-8 credits

### Requirements for a Major in Mathematics - Secondary Certification Emphasis (45-46 Credits)

The Major in mathematics with secondary certification emphasis is designed for students seeking certification to teach mathematics in the middle grades (5-9), high school (7-12), or both. Students in the secondary certification emphasis will choose between two tracks: dual band (grades 5-12; 45 credits) or single band (grades 5-9; 45-46 credits). In either case, students earn a major in mathematics and complete coursework that builds robust mathematical and pedagogical knowledge for teaching mathematics in the certification band(s).

#### Associated Programs

**Secondary Education Major. **In order to achieve certification, all students must also complete a major in Secondary Education through the College of Education and Community Innovation (CECI). Together, the two majors meet the Michigan Department of Education (MDE) Standards for the Preparation of Teachers of Mathematics (endorsement code EQ). Candidates must also pass the corresponding Michigan Test for Teacher Certification (MTTC) tests to earn their teacher certificate and endorsements.

#### Requirements for the Secondary Certification Emphasis - Core Courses

The major in mathematics with secondary certification emphasis must be completed with a GPA of 2.7 to apply for the secondary teacher apprenticeship, secondary teacher internship, and required concurrent courses.

All mathematics majors with secondary certification emphasis will complete the following required core courses:

- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 324 - Algebra for Elementary Teachers (3 credits)
- MTH 329 - Teaching Middle Grades Mathematics (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)
**OR**MTH 496 - Senior Thesis (Capstone) (3 credits)

#### Additional Course Requirements - Secondary Cert., Dual Band (5-12)

Mathematics majors in the secondary certification emphasis who choose the dual band (5-12) track will complete the following additional courses:

- MTH 229 - Teaching High School Math (3 credits)
- MTH 313 - Teaching Probability & Statistics in Grades 5-12 (3 credits)
- MTH 350 - Modern Algebra I (3 credits)
- STA 312 - Probability and Statistics (3 credits)

**AND **one elective from the following list; the elective course must be different from the Capstone course.

- MTH 205 - Linear Algebra II (3 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 360 - Operations Research (3 credits)
- MTH 408 - Real Analysis 1 (3 credits) *prereq: MTH 203
- MTH 431 - Non-Euclidean Geometry (3 credits)
- MTH 450 - Modern Algebra II (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)
- MTH 496 - Senior Thesis (Capstone) (3 credits)

#### Additional Course Requirements - Secondary Cert., Single Band (5-9)

Mathematics majors in the secondary certification emphasis who choose the single band (5-9) track will complete the following additional courses:

- MTH 322 - Geometry for Elementary Teachers (3 credits)
- MTH 323 - Probability and Statistics for Elementary Teachers (3 credits)
**AND**a three-course elective theme from the following lists; elective courses must all be different from the Capstone course.- Applied Theme (9 credits):
- MTH 205 - Linear Algebra II (3 credits)
- MTH 360 - Operations Research (3 credits)
- Elective from List A or List B

- Calculus Theme (9 or 10 credits):
- MTH 203 - Calculus III (4 credits) OR MTH 304 - Analysis of Differential Equations (3 credits)
- Elective from List B
- Additional elective from List A or List B

- Math Education Theme (9 credits)

- Applied Theme (9 credits):

Elective List A:

- MTH 205 - Linear Algebra II (3 credits)
- MTH 229 - Teaching High School Math (3 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)

Elective List B:

- MTH 350 - Modern Algebra I (3 credits)
- MTH 402 - Complex Variables (3 credits)
- MTH 406 - Linear Algebra III (3 credits) *prereq: MTH 205
- MTH 408 - Real Analysis 1 (3 credits) *prereq: MTH 203
- MTH 431 - Non-Euclidean Geometry (3 credits)
- MTH 450 - Modern Algebra II (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)
- MTH 496 - Senior Thesis (Capstone) (3 credits)

#### B.S. Requirements

Students complete the Bachelor of Science requirements through the following required courses:

- MTH 201 - Calculus I (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 210 - Communicating in Mathematics (4 credits)

#### B.A. Requirements

Students seeking a Bachelor of Arts in the Mathematics major will have additional requirements. B.A. students must demonstrate third-semester proficiency in a foreign language by successfully completing a 201-level language course, passing a proficiency exam in the language chosen, or through AP credit.

### Suggested Order of Coursework for a Major in Mathematics

The following sample mathematics schedules assume the student is in contact with an advisor for appropriate general education requirements and has a strong mathematics background. Students who do not begin with MTH 201 will need to make appropriate changes.

#### Mathematics Majors with Theoretical Mathematics Emphasis

**Year One**

- Appropriate courses in general education
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 205 - Linear Algebra II (3 credits)

**Year Two**

- Mathematics elective course
- Computer science cognate course
- Appropriate courses in general education
- MTH 203 - Calculus III (4 credits)
- MTH 210 - Communicating in Mathematics (4 credits)

**Year Three**

- Cognate courses in the major
- Appropriate courses in general education
- Mathematics elective course
- MTH 350 - Modern Algebra I (3 credits)
- STA 312 - Probability and Statistics (3 credits)

**Year Four**

- 400-level mathematics elective course
- Capstone course
- MTH 408 - Real Analysis 1 (3 credits)

#### Mathematics Majors with Applied Mathematics Emphasis

**Year One**

- Appropriate courses in general education
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 205 - Linear Algebra II (3 credits)

**Year Two**

- Computer science cognate course
- Appropriate courses in general education
- MTH 203 - Calculus III (4 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)

**Year Three**

- Mathematics elective course
- Appropriate courses in general education
- MTH 305 - Mathematical Modeling (3 credits)
- MTH 360 - Operations Research (3 credits)
- STA 312 - Probability and Statistics (3 credits)

**Year Four**

- Mathematics elective course
- Capstone course
- MTH 405 - Numerical Analysis (3 credits)

#### Mathematics Major with Secondary Certification Emphasis, Dual Band (5-12) Track

**Year One (5-12 Track):**

- Appropriate courses in general education, including WRT 150 or (WRT 120 and WRT 130)
- Appropriate courses in the secondary education major, including EDF 115 and PSY 101
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 210 - Communicating in Mathematics (4 credits)

**Year Two (5-12 Track)**

- Appropriate courses in general education
- Appropriate courses in the Secondary Education major, including PSY 331 and EDR 225
- MTH 229 - Teaching High School Math (3 credits)
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 324 - Algebra for Elementary Teachers (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- STA 312 - Probability and Statistics (3 credits)
- MTH Elective (see list) (3 credits)

**Year Three (5-12 track): **

- Appropriate courses in general education
- Appropriate courses in the Secondary Education major, including EDF 260 and EDF 315
- MTH 313 - Teaching Probability and Statistics in Grades 5-12 (3 credits)
- MTH 329 - Teaching Middle Grades Mathematics (3 credits)
- MTH 350 - Modern Algebra I (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)

**Year Four (5-12 track): **

- Secondary Teacher Apprenticeship and Seminars (EDI 331/EDI 332), and required concurrent courses (EDS 319, EDR 321, EDT 477) (15 credits)
- Secondary Teacher Internship and Seminars (EDI 431/432) (9 credits)
- EDF 495 - Capstone: Reflective Inquiry and Practice (3 credits)

#### Mathematics Major with Secondary Certification Emphasis, Single Band (9-12) Track

**Year One (5-9 track):**

- Appropriate courses in general education, including WRT 150 - Strategies in Writing or WRT 120+WRT 130
- Appropriate courses in the Secondary Education major, including EDF 115 and PSY 101
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 210 - Communicating in Mathematics (4 credits)

**Year Two (5-9 track): **

- Appropriate courses in general education
- Appropriate courses in the Secondary Education major, including PSY 331 and EDR 225
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 322 - Geometry for Elementary Teachers (3 credits)
- MTH 323 - Probability and Statistics for Elementary Teachers (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- MTH Themed Elective #1 (see list) (3 or 4 credits)
- MTH Themed Elective #2 (see list) (3 credits)

**Year Three (5-9 track): **

- Appropriate courses in general education
- Appropriate courses in the Secondary Education major, including EDF 260 and EDF 315
- MTH 324 - Algebra for Elementary Teachers (3 credits)
- MTH 329 - Teaching Middle Grades Mathematics (3 credits)
- MTH Themed Elective #3 (see list) (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits) OR MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)

**Year Four (5-9 track): **

- Secondary Teacher Apprenticeship and Seminars (EDI 333/332) and required concurrent courses (EDS 319, EDR 321, EDT 477) (15 credits)
- Secondary Teacher Internship and Seminars (EDI 433/432) (9 credits)
- EDF 495 - Capstone: Reflective Inquiry and Practice (3 credits)