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- 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

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

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

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.

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

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)

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

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

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.

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

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)

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

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)

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:

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)

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

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.

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.

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)

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

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

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.

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.

- 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

- 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

- 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

- 400-level mathematics elective course
- Capstone course

- MTH 408 - Advanced Calculus I Credits: 3

- 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

- 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

- 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

- Mathematics elective course
- Capstone course

- MTH 405 - Numerical Analysis Credits: 3

- 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)

- 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)

- 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)

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

- 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)

- 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)

- 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)

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