2010-2011 Undergraduate & Graduate Catalog
Bachelor of Arts or Bachelor of Science in Mathematics
- Requirements for a Major in Mathematics (not for teacher certification)
- Degree Cognate Requirements
- Degree Cognate Requirements
- College of Education Requirements
- Degree Cognate 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:
Degree Cognate Requirements
Completion of MTH 201, 202, and STA 312 satisfies the B.S. degree cognate 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 (5 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (3 credits)
- MTH 227 - Linear Algebra I (3 credits)
- MTH 310 - Modern Algebra (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 below in (a) - (c).
a. Required mathematics courses
- MTH 203 - Calculus III Credits: 4
- MTH 408 - Advanced Calculus I Credits: 3
b. One of the following upper-level two-course sequences:
(Modern Algebra)
(Advanced Calculus)
(Geometry)
(Applied Analysis)
(Discrete Mathematics and Applications)
c. Additional Course(s):
From the following list for a total of 11 courses in mathematics:
- MTH 300 - Applied Analysis I Credits: 3
- MTH 304 - Analysis of Differential Equations Credits: 3
- MTH 327 - Linear Algebra II Credits: 3
- MTH 341 - Euclidean Geometry Credits: 3
- MTH 345 - Discrete Mathematics Credits: 3
- MTH 360 - Operations Research Credits: 3
- MTH 400 - Applied Analysis II Credits: 3
- MTH 402 - Complex Variables Credits: 3
- MTH 405 - Numerical Analysis Credits: 3
- MTH 409 - Advanced Calculus II Credits: 3
- MTH 410 - Modern Algebra II Credits: 3
- MTH 431 - Non-Euclidean Geometry Credits: 3
- MTH 441 - Topology Credits: 3
- MTH 465 - Automata and Theory of Computation Credits: 3
Graduate Work Preparation
Majors who plan to complete graduate work in mathematics are encouraged to (1) take as many upper-division mathematics courses from the courses listed above as possible; (2) 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.
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 162 - Computer Science I (4 credits) OR CS/
EGR 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
- ECO 342 - Strategic Games Credits: 3
- ECO 480 - Special Topics in Economics Credits: 3
- EGR 304 - Innovation Credits: 3
- GEO 440 - Geohydrology 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
- SS 300 - Research Methods in the Social Sciences Credits: 3
- STA 314 - Statistical Quality Methods Credits: 3
- STA 412 - Mathematical Statistics I Credits: 4
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:
Degree Cognate Requirements
Completion of MTH 201, 202, and STA 312 satisfies the B.S. degree cognate 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 Credits: 5
- MTH 202 - Calculus II Credits: 4
- MTH 210 - Communicating in Mathematics Credits: 3
- MTH 227 - Linear Algebra I Credits: 3
- MTH 310 - Modern Algebra Credits: 3
- MTH 495 - The Nature of Modern Mathematics (capstone) Credits: 3 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 Credits: 3
- MTH 323 - Probability and Statistics for Elementary Teachers Credits: 3
- MTH 324 - Algebra for Elementary Teachers Credits: 3
- MTH 341 - Euclidean Geometry Credits: 3
- MTH 345 - Discrete Mathematics Credits: 3
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 Credits: 3
- BIO 375 - Genetics Credits: 3
- CHM 351 - Introduction to Physical Chemistry Credits: 3
- CIS 160 - Programming with Visual Basic Credits: 3
- CIS 162 - Computer Science I Credits: 4
- ECO 342 - Strategic Games Credits: 3
- ECO 480 - Special Topics in Economics Credits: 3
- EGR 261 - Structured Programming in C Credits: 3
- EGR 304 - Innovation Credits: 3
- GEO 440 - Geohydrology 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
- SS 300 - Research Methods in the Social Sciences 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:
and at least two of:
- 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:
Degree Cognate Requirements
Completion of MTH 201, 202, and STA 312 satisfies the B.S. degree cognate 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 (5 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (3 credits)
- MTH 227 - Linear Algebra I (3 credits)
- MTH 310 - Modern Algebra (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 341 - Euclidean Geometry (3 credits)
- MTH 345 - 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 - Applied Analysis I Credits: 3
- MTH 304 - Analysis of Differential Equations Credits: 3
- MTH 327 - Linear Algebra II Credits: 3
- MTH 360 - Operations Research Credits: 3
- MTH 400 - Applied Analysis II Credits: 3
- 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 410 - Modern Algebra II Credits: 3
- MTH 431 - Non-Euclidean Geometry Credits: 3
- MTH 441 - Topology 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 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 Credits: 3
- BIO 375 - Genetics Credits: 3
- CHM 351 - Introduction to Physical Chemistry Credits: 3
- CIS 160 - Programming with Visual Basic Credits: 3
- CIS 162 - Computer Science I Credits: 4
- ECO 342 - Strategic Games Credits: 3
- ECO 480 - Special Topics in Economics Credits: 3
- EGR 261 - Structured Programming in C Credits: 3
- EGR 304 - Innovation Credits: 3
- GEO 440 - Geohydrology 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
- SS 300 - Research Methods in the Social Sciences 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 (3 credits)
- MTH 229 - Mathematical Activities for Secondary Teachers (3 credits)
- MTH 341 - 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 (5 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (3 credits)
Second Year
- Appropriate courses in general education
- CIS 162 - Computer Science I (4 credits)
- MTH 203 - Calculus III (4 credits)
- MTH 227 - Linear Algebra I (3 credits)
- MTH 310 - Modern Algebra (3 credits)
Third Year
- Cognate Courses in the major
- Appropriate courses in general education
- MTH 408 - Advanced Calculus I (3 credits)
- MTH 409 - Advanced Calculus II (3 credits)
- STA 312 - Probability and Statistics (3 credits)
Fourth Year
- Two electives for the major
- Capstone course
- Appropriate courses for the major
Mathematics Major with Secondary Certification Emphasis
First Year
- Appropriate courses in general education
- MTH 201 - Calculus I (5 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (3 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 310 - Modern Algebra (3 credits)
- MTH 341 - Euclidean Geometry (3 credits)
- STA 312 - Probability and Statistics (3 credits)
Fourth Year
- Capstone course
- Student Teaching
- Appropriate courses in general education
- MTH 345 - Discrete Mathematics (3 credits)
Mathematics Major with Elementary Certification Emphasis
First Year
- Appropriate course in general education
- MTH 201 - Calculus I (5 credits)
- MTH 202 - Calculus II (4 credits)
- MTH 210 - Communicating in Mathematics (3 credits)
- PSY 101 - Introductory Psychology (3 credits)
Second Year
- Appropriate courses in general education
- MTH 227 - Linear Algebra I (3 credits)
- MTH 310 - Modern Algebra (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 341 - Euclidean Geometry (3 credits)
Fourth Year
- Capstone course
- Student Teaching
- Appropriate courses in general education
- MTH 345 - Discrete Mathematics (3 credits)