2018-2019 Undergraduate & Graduate Catalog
Bachelor of Arts or Bachelor of Science in Mathematics
- Requirements for a Major in Mathematics (not for teacher certification)
- College of Education Requirements
- College of Education Requirements
- Suggested Order of Coursework for a Major in Mathematics
- Mathematics Major with Secondary Certification Emphasis
- Mathematics Major with Elementary Certification Emphasis
Requirements for a Major in Mathematics (not for teacher certification)
Students planning a major in mathematics not seeking teacher certification must complete the following.
Mathematics Core Requirements
All mathematics majors must complete the following courses:
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 227 - Linear Algebra I (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)
Additional Mathematics Course Requirements
All mathematics majors not seeking teacher certification must also complete the requirements listed in (a) - (c).
a. Required mathematics courses:
b. One of the following upper-level two-course sequences:
Modern Algebra
Advanced Calculus
Geometry
Analysis with Applications in Sciences
Linear Algebra and Applications
Connections to the Physical Sciences
- MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 401 - Mathematics for the Physical Sciences (4 credits)
Complex Analysis and Applications
Applied Mathematics
Analysis and Topology
c. Additional Course(s)
From the following list for a total of 11 courses in mathematics:
- MTH 300 - Vector Analysis (3 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 327 - Linear Algebra II (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- MTH 315 - Discrete Mathematics (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 409 - Advanced Calculus II (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)
Mathematics Cognate Requirements
All mathematics majors not seeking teacher certification must complete the following requirements to satisfy the mathematics cognate requirements:
-
CIS 160 - Programming with Visual Basic (3 credits)
OR 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 (3 credits)
- BIO 375 - Genetics (3 credits)
- CHM 351 - Introduction to Physical Chemistry (3 credits)
- CMB 351 - Bioinformatics: Tools and Techniques for Life Scientists (3 credits)
- CMB 452 - Computer Modeling of Biomolecules (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)
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.
Preparation for Graduate Work in 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 part (c); (2) in part (b), complete at least one of the two course upper level sequences in modern algebra or advanced calculus; (3) consult with their advisor about other courses that might be appropriate for their interests and about procedures for applying to graduate school; and (4) complete a B.A. degree by completing the third semester of French, German, or Russian.
Requirements for a Major in Mathematics with Elementary Certification Emphasis
The mathematics major with elementary certification 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 must complete the following:
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.
Mathematics Core Requirements
All mathematics majors must complete the following courses:
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 227 - Linear Algebra I (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)
Additional Mathematics Course Requirements
All mathematics majors seeking elementary certification must also complete the requirements listed below:
- 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)
- MTH 331 - Euclidean Geometry (3 credits)
- MTH 315 - Discrete Mathematics (3 credits)
Mathematics Cognate Requirements
All mathematics majors seeking elementary certification must complete the following requirements 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 - Programming with Visual Basic (3 credits)
- CIS 161 - Computational Science (3 credits)
- CIS 162 - Computer Science I (4 credits)
- CIS 261 - Structured Programming in C (3 credits)
- CMB 351 - Bioinformatics: Tools and Techniques for Life Scientists (3 credits)
- CMB 452 - Computer Modeling of Biomolecules (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 220 - General Physics I (5 credits)
- PHY 230 - Principles of Physics I (5 credits)
- PSY 300 - Research Methods in Psychology (3 credits)
- SCI 226 - Integrated Physical Science for K-8 Teachers (3 credits) (recommended)
- STA 314 - Statistical Quality Methods (3 credits)
- STA 345 - Statistics in Sports (3 credits)
- STA 412 - Mathematical Statistics I (4 credits)
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 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 must complete the following.
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.
Mathematics Core Requirements
All mathematics majors must complete the following courses:
- MTH 201 - Calculus I (4 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (4 credits)
- MTH 227 - Linear Algebra I (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)
Additional Mathematics Course Requirements
All mathematics majors seeking secondary certification must also complete the requirements listed below:
- MTH 203 - Calculus III (4 credits)
- MTH 229 - Mathematical Activities for Secondary Teachers (3 credits)
- MTH 329 - Teaching Middle Grades Mathematics (3 credits)
- MTH 331 - Euclidean Geometry (3 credits)
- MTH 315 - Discrete Mathematics (3 credits)
Mathematics Elective Requirement
All mathematics majors seeking secondary certification must also complete one elective course from the following list. The elective course must be different than the Capstone course.
- MTH 300 - Vector Analysis (3 credits)
- MTH 304 - Analysis of Differential Equations (3 credits)
- MTH 327 - Linear Algebra II (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 - Advanced Calculus I (3 credits)
- MTH 409 - Advanced Calculus II (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)
Mathematics Cognate Requirements
All mathematics majors seeking secondary certification must also complete the following requirements 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 - Programming with Visual Basic (3 credits)
- CIS 161 - Computational Science (3 credits)
- CIS 162 - Computer Science I (4 credits)
- CIS 261 - Structured Programming in C (3 credits)
- CMB 351 - Bioinformatics: Tools and Techniques for Life Scientists (3 credits)
- CMB 452 - Computer Modeling of Biomolecules (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 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 (not for teacher certification)
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)
Second Year
- Appropriate courses in general education
- Computer science cognate course
- Elective for the major
- MTH 203 - Calculus III (4 credits)
- MTH 227 - Linear Algebra I (3 credits)
Third Year
- Cognate courses in the major
- Appropriate courses in general education
- Elective for the major
- MTH 350 - Modern Algebra I (3 credits)
- STA 312 - Probability and Statistics (3 credits)
Fourth Year
- MTH 408 - Advanced Calculus I (3 credits)
- Elective course to complete a sequence
- Capstone course
- Appropriate courses for the major
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 227 - 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)
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 227 - 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)