# 2023-2024 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
- 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 16 courses (52-58 credits) divided into three categories; Required, Required Electives and Cognate 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

#### Additional 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

#### Cognate Requirements

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

- CIS 161 - Computational Science (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)

**AND** one course from the following:

- BIO 355 - Human Genetics (3 credits)
- BIO 375 - Genetics (3 credits)
- CHM 351 - Introduction to Physical Chemistry (3 credits)
- CMB 451 - Bioinformatics: Tools and Techniques for Life Scientists (3 credits)
- CMB 452 - Computer Modeling and Drug Design (3 credits)
- ECO 400 - Econometrics and Forecasting (3 credits)
- GEO 470 - Geophysics (4 credits)
- HSC 201 - The Scientific Revolution (3 credits)
- PHI 203 - Intermediate Logic (3 credits)
- PHY 230 - Principles of Physics I (5 credits)
- PSY 300 - Research Methods in Psychology (3 credits)
- STA 314 - Statistical Quality Methods (3 credits)
- STA 412 - Mathematical Statistics I (4 credits)

**Total Cognate Requirements:** 3 courses/9 to 13 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 (49-53 credits) divided into three categories; required, required electives and cognate 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/37credits

#### Additional 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

#### Cognate Requirements

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

- CIS 161 - Computational Science (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)

### Requirements for a Major in Mathematics - Secondary Certification Emphasis

The mathematics major with secondary certification emphasis must be completed with a GPA of 2.7 for admission to the College of Education and Community Innovation. Students planning a major in mathematics with secondary certification emphasis must complete the following.

#### Course Requirements

All mathematics majors 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 210 - Communicating in Mathematics (4 credits)
- MTH 229 - Mathematical Activities for Secondary Teachers (3 credits)
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 329 - Teaching Middle Grades Mathematics (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- MTH 350 - Modern Algebra I (3 credits)
- MTH 495 - The Nature of Modern Mathematics (Capstone) (3 credits)
**OR**MTH 496 - Senior Thesis (Capstone) (3 credits)

#### Elective Requirement

All mathematics majors with secondary certification emphasis must also complete one elective course from the following list. The elective course must be different than the Capstone course.

- MTH 205 - Linear Algebra II (3 credits)
- MTH 300 - Vector Analysis (3 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 360 - Operations Research (3 credits)
- MTH 401 - Mathematics for the Physical Sciences (4 credits)
- MTH 402 - Complex Variables (3 credits)
- MTH 405 - Numerical Analysis (3 credits)
- MTH 408 - Real Analysis 1 (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)

#### Cognate Requirements

All students seeking a major in mathematics with secondary certification emphasis must complete the following courses to satisfy the mathematics cognate requirements:

**AND **one course from the following:

- BIO 355 - Human Genetics (3 credits)
- BIO 375 - Genetics (3 credits)
- CHM 351 - Introduction to Physical Chemistry (3 credits)
- CIS 160 - Learn to Code in Python (3 credits)
- CIS 161 - Computational Science (3 credits)
- CIS 162 - Computer Science I (4 credits)
- CMB 451 - Bioinformatics: Tools and Techniques for Life Scientists (3 credits)
- CMB 452 - Computer Modeling and Drug Design (3 credits)
- ECO 400 - Econometrics and Forecasting (3 credits)
- GEO 470 - Geophysics (4 credits)
- HSC 201 - The Scientific Revolution (3 credits)
- PHI 203 - Intermediate Logic (3 credits)
- PHY 230 - Principles of Physics I (5 credits)
- PSY 300 - Research Methods in Psychology (3 credits)
- STA 314 - Statistical Quality Methods (3 credits)
- STA 345 - Statistics in Sports (3 credits)
- STA 412 - Mathematical Statistics I (4 credits)

#### College of Education and Community Innovation Requirements

To be approved for student teaching, students must complete at least 24 credit hours in the major, including:

- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 229 - Mathematical Activities for Secondary Teachers (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)

In addition, students need to be aware of the College of Education and Community Innovation requirements for admission to the secondary certification program.

A student who has graduated from another accredited institution with a completed major or minor in mathematics and who now seeks only teaching certification in mathematics from Grand Valley must satisfy the following criteria:

- transfer or complete at Grand Valley all mathematics and cognate courses required for the certification major or minor
- a minimum cumulative GPA of 2.7 (on a 4.0 scale) in mathematics courses from the accredited institution
- completion of the College of Education and Community Innovation requirements for certification

### 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

**Year One**

- Appropriate courses in general education
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- PSY 101 - Introductory Psychology (3 credits)

**Year Two**

- Appropriate courses in general education
- MTH 203 - Calculus III (4 credits)
- MTH 204 - Linear Algebra I (3 credits)
- MTH 229 - Mathematical Activities for Secondary Teachers (3 credits)
- MTH 329 - Teaching Middle Grades Mathematics (3 credits)

**Year Three**

- Elective in the major
- Student assisting
- Cognate course for major
- Appropriate courses in general education
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- STA 312 - Probability and Statistics (3 credits)

**Year Four**

- Capstone course
- Student teaching
- Appropriate courses in general education
- MTH 350 - Modern Algebra I (3 credits)