# 2019-2020 Undergraduate & Graduate Catalog

## Bachelor of Arts or Bachelor of Science in Mathematics

- Requirements for a Major in Mathematics with Theoretical Mathematics emphasis
- Requirements for a Major in Mathematics with Applied Mathematics Emphasis
- Requirements for a Major in Mathematics with Elementary Certification Emphasis
- Requirements for a Major in Mathematics with Secondary Certification Emphasis
- Suggested Order of Coursework for a Major in Mathematics

#### Emphasis Areas

Students majoring in mathematics must choose one of the following emphasis areas:

- Theoretical Mathematics
- Applied Mathematics
- Elementary Certification
- Secondary Certification

#### B.S. and B.A. Degree Program Requirements

Completion of MTH 201, 202, and STA 312 satisfies the B.S. degree program requirements for all mathematics majors. Students completing a B.A. degree must complete these courses plus the foreign language requirement for a B.A.

#### Requirements for a Major in Mathematics with Theoretical Mathematics emphasis

Students planning a major in mathematics with theoretical mathematics emphasis must complete the following.

#### Mathematics Course Requirements

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

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

#### Additional Mathematics Course Requirements

Take additional courses from the following list for a total of 12 courses in mathematics (with at least one additional 400-level course besides the required courses):

- MTH 300 - Vector Analysis Credits: 3
- MTH 304 - Analysis of Differential Equations Credits: 3
- MTH 305 - Mathematical Modeling Credits: 3
- MTH 315 - Discrete Mathematics Credits: 3
- MTH 360 - Operations Research Credits: 3
- MTH 401 - Mathematics for the Physical Sciences Credits: 4
- MTH 402 - Complex Variables Credits: 3
- MTH 405 - Numerical Analysis Credits: 3
- MTH 406 - Linear Algebra III Credits: 3
- MTh 406 - Linear Algebra III Credits: 3
- MTH 409 - Advanced Calculus II Credits: 3
- MTH 431 - Non-Euclidean Geometry Credits: 3
- MTH 441 - Topology Credits: 3
- MTH 450 - Modern Algebra II Credits: 3
- MTH 465 - Automata and Theory of Computation Credits: 3
- MTH 495 - The Nature of Modern Mathematics (Capstone) Credits: 3
- MTH 496 - Senior Thesis (Capstone) Credits: 3
- MTH 498 - Project-Based Applied Mathematics (Capstone) Credits: 3

#### Mathematics 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)**OR**CIS 261 - Structured Programming in C (3 credits) - STA 312 - Probability and Statistics (3 credits)

And one course from the following:

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

#### Preparation for Graduate Work in Theoretical Mathematics

Majors who plan to complete graduate work in mathematics are encouraged to (1) take as many upper-division mathematics courses as possible from the courses listed in additional mathematics courses; (2) take MTH 450 or MTH 409 as one additional 400-level course; and (3) 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 with Applied Mathematics Emphasis

Students planning a major in mathematics with applied mathematics emphasis must complete the following.

#### Mathematics Course Requirements

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

- MTH 201 - Calculus I Credits: 4
- MTH 202 - Calculus II Credits: 4
- MTH 203 - Calculus III Credits: 4
- MTH 204 - Linear Algebra I Credits: 3
**AND**MTH 304 - Analysis of Differential Equations (3 credits) (recommended)**OR**only MTH 302 - Linear Algebra and Differential Equations (4 credits) - MTH 205 - Linear Algebra II Credits: 3
- MTH 210 - Communicating in Mathematics Credits: 4
- MTH 305 - Mathematical Modeling Credits: 3
- MTH 360 - Operations Research Credits: 3
- MTH 405 - Numerical Analysis Credits: 3
- MTH 490 - Mathematics Internship Seminar Credits: 2 (Capstone)
**OR**MTH 498 - Project-Based Applied Mathematics (Capstone) (3 credits)

#### Additional Mathematics Course Requirements

Take additional courses from the following list for a total of 13 courses in mathematics. So, students choosing the recommended MTH 204 + MTH 304 option in the required courses, must take 2 additional courses from the following list, while the students choosing only MTH 302 must take 3 additional courses from the following list:

- MTH 315 - Discrete Mathematics Credits: 3
- MTH 401 - Mathematics for the Physical Sciences Credits: 4
- MTH 402 - Complex Variables Credits: 3
- MTH 406 - Linear Algebra III Credits: 3
- MTh 406 - Linear Algebra III Credits: 3
- MTH 408 - Advanced Calculus I Credits: 3
- MTH 441 - Topology Credits: 3
- MTH 465 - Automata and Theory of Computation Credits: 3
- MTH 496 - Senior Thesis (Capstone) Credits: 3
- MTH 498 - Project-Based Applied Mathematics (Capstone) Credits: 3

#### Mathematics 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)**OR**CIS 261 - Structured Programming in C (3 credits) - STA 312 - Probability and Statistics (3 credits)

#### Requirements for a Major in Mathematics with Elementary Certification Emphasis

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

#### Mathematics Course Requirements

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

- MTH 201 - Calculus I Credits: 4
- MTH 202 - Calculus II Credits: 4
- MTH 204 - Linear Algebra I Credits: 3
- MTH 210 - Communicating in Mathematics Credits: 4
- MTH 315 - Discrete Mathematics Credits: 3
- MTH 322 - Geometry for Elementary Teachers Credits: 3
- MTH 323 - Probability and Statistics for Elementary Teachers Credits: 3
- MTH 324 - Algebra for Elementary Teachers Credits: 3
- MTH 331 - Euclidean Geometry Credits: 3
- MTH 350 - Modern Algebra I Credits: 3
- MTH 495 - The Nature of Modern Mathematics (Capstone) Credits: 3
**OR**MTH 496 - Senior Thesis (Capstone) (3 credits)

#### Mathematics Cognate Requirements

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

**And** one course from the following:

- BIO 355 - Human Genetics Credits: 3
- BIO 375 - Genetics Credits: 3
- CHM 351 - Introduction to Physical Chemistry Credits: 3
- CIS 160 - Programming with Visual Basic Credits: 3
- CIS 161 - Computational Science Credits: 3
- CIS 162 - Computer Science I Credits: 4
- CIS 261 - Structured Programming in C Credits: 3
- CMB 351 - Bioinformatics: Tools and Techniques for Life Scientists Credits: 3
- CMB 452 - Computer Modeling of Biomolecules Credits: 3
- ECO 342 - Strategic Games Credits: 3
- ECO 400 - Econometrics and Forecasting Credits: 3
- ECO 412 - Applied Mathematical Economics Credits: 3
- GEO 470 - Geophysics Credits: 4
- HSC 201 - The Scientific Revolution Credits: 3
- PHI 203 - Intermediate Logic Credits: 3
- PHY 220 - General Physics I Credits: 5
- PHY 230 - Principles of Physics I Credits: 5
- PSY 300 - Research Methods in Psychology Credits: 3
- SCI 226 - Integrated Physical Science for K-8 Teachers Credits: 3 (recommended)
- STA 314 - Statistical Quality Methods Credits: 3
- STA 345 - Statistics in Sports Credits: 3
- STA 412 - Mathematical Statistics I Credits: 4

#### College of Education Requirements

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

**And** at least two of the following:

- MTH 322 - Geometry for Elementary Teachers (3 credits)
- MTH 323 - Probability and Statistics for Elementary Teachers (3 credits)
- MTH 324 - Algebra for Elementary Teachers (3 credits)

In addition, students need to be aware of the College of Education requirements for admission to the elementary certification program.

#### Requirements for a Major in Mathematics with 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. Students planning a major in mathematics with secondary certification emphasis must complete the following.

#### Mathematics Course Requirements

All mathematics majors must complete the following courses:

- MTH 201 - Calculus I Credits: 4
- MTH 202 - Calculus II Credits: 4
- MTH 203 - Calculus III Credits: 4
- MTH 204 - Linear Algebra I Credits: 3
- MTH 210 - Communicating in Mathematics Credits: 4
- MTH 229 - Mathematical Activities for Secondary Teachers Credits: 3
- MTH 315 - Discrete Mathematics Credits: 3
- MTH 329 - Teaching Middle Grades Mathematics Credits: 3
- MTH 331 - Euclidean Geometry Credits: 3
- MTH 350 - Modern Algebra I Credits: 3
- MTH 495 - The Nature of Modern Mathematics (Capstone) Credits: 3
**OR**MTH 496 - Senior Thesis (Capstone) (3 credits)

#### Mathematics 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 Credits: 3
- MTH 300 - Vector Analysis Credits: 3
- MTH 304 - Analysis of Differential Equations Credits: 3
- MTH 360 - Operations Research Credits: 3
- MTH 400 - Applied Analysis II Credits: 3
- MTH 401 - Mathematics for the Physical Sciences Credits: 4
- MTH 402 - Complex Variables Credits: 3
- MTH 405 - Numerical Analysis Credits: 3
- MTH 408 - Advanced Calculus I Credits: 3
- MTH 409 - Advanced Calculus II Credits: 3
- MTH 431 - Non-Euclidean Geometry Credits: 3
- MTH 441 - Topology Credits: 3
- MTH 450 - Modern Algebra II Credits: 3
- MTH 465 - Automata and Theory of Computation Credits: 3
- MTH 495 - The Nature of Modern Mathematics (Capstone) Credits: 3
- MTH 496 - Senior Thesis (Capstone) Credits: 3

#### Mathematics 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 Credits: 3
- BIO 375 - Genetics Credits: 3
- CHM 351 - Introduction to Physical Chemistry Credits: 3
- CIS 160 - Programming with Visual Basic Credits: 3
- CIS 161 - Computational Science Credits: 3
- CIS 162 - Computer Science I Credits: 4
- CIS 261 - Structured Programming in C Credits: 3
- CMB 351 - Bioinformatics: Tools and Techniques for Life Scientists Credits: 3
- CMB 452 - Computer Modeling of Biomolecules Credits: 3
- ECO 342 - Strategic Games Credits: 3
- ECO 400 - Econometrics and Forecasting Credits: 3
- ECO 412 - Applied Mathematical Economics Credits: 3
- GEO 470 - Geophysics Credits: 4
- HSC 201 - The Scientific Revolution Credits: 3
- PHI 203 - Intermediate Logic Credits: 3
- PHY 230 - Principles of Physics I Credits: 5
- PSY 300 - Research Methods in Psychology Credits: 3
- STA 314 - Statistical Quality Methods Credits: 3
- STA 345 - Statistics in Sports Credits: 3
- STA 412 - Mathematical Statistics I Credits: 4

#### College of Education 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 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 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

#### First Year

- Appropriate courses in general education

- MTH 201 - Calculus I Credits: 4
- MTH 202 - Calculus II Credits: 4
- MTH 204 - Linear Algebra I Credits: 3
- MTH 205 - Linear Algebra II Credits: 3

#### Second Year

- Mathematics elective course
- Computer science cognate course
- Appropriate courses in general education

- MTH 203 - Calculus III Credits: 4
- MTH 210 - Communicating in Mathematics Credits: 4

#### Third Year

- Cognate courses in the major
- Appropriate courses in general education
- Mathematics elective course

- MTH 350 - Modern Algebra I Credits: 3
- STA 312 - Probability and Statistics Credits: 3

#### Fourth Year

- 400-level mathematics elective course
- Capstone course

- MTH 408 - Advanced Calculus I Credits: 3

#### Mathematics Majors with Applied Mathematics Emphasis

#### First Year

- Appropriate courses in general education

- MTH 201 - Calculus I Credits: 4
- MTH 202 - Calculus II Credits: 4
- MTH 204 - Linear Algebra I Credits: 3
- MTH 205 - Linear Algebra II Credits: 3

#### Second Year

- Computer science cognate course
- Appropriate courses in general education

- MTH 203 - Calculus III Credits: 4
- MTH 210 - Communicating in Mathematics Credits: 4
- MTH 304 - Analysis of Differential Equations Credits: 3

#### Third Year

- Mathematics elective course
- Appropriate courses in general education

- MTH 305 - Mathematical Modeling Credits: 3
- MTH 360 - Operations Research Credits: 3
- STA 312 - Probability and Statistics Credits: 3

#### Fourth Year

- Mathematics elective course
- Capstone course

- MTH 405 - Numerical Analysis Credits: 3

#### Mathematics Major with Elementary Certification Emphasis

#### First Year

- Appropriate course 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)

#### Second Year

- Appropriate courses in general education
- MTH 204 - Linear Algebra I (3 credits)
- MTH 315 - Discrete Mathematics (3 credits)
- MTH 322 - Geometry for Elementary Teachers (3 credits)
- STA 312 - Probability and Statistics (3 credits)

#### Third Year

- Student assisting
- Cognate course for major
- Appropriate course in general education
- MTH 323 - Probability and Statistics for Elementary Teachers (3 credits)
- MTH 324 - Algebra for Elementary Teachers (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)

#### Fourth Year

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

#### Mathematics Major with Secondary Certification Emphasis

#### First Year

- 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)

#### Second Year

- 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)

#### Third Year

- 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)

#### Fourth Year

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