20142015 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 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 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 upperlevel twocourse sequences:
(Modern Algebra)
 MTH 310  Modern Algebra Credits: 3
 MTH 410  Modern Algebra II Credits: 3
(Advanced Calculus)
 MTH 408  Advanced Calculus I Credits: 3
 MTH 409  Advanced Calculus II Credits: 3
(Geometry)
 MTH 341  Euclidean Geometry Credits: 3
 MTH 431  NonEuclidean Geometry Credits: 3
(Analysis with Applications in Sciences)
 MTH 300  Applied Analysis I Credits: 3
 MTH 401  Mathematics for the Physical Sciences Credits: 4
 (Linear Algebra and Applications)
 MTH 327  Linear Algebra II Credits: 3
 MTH 360  Operations Research Credits: 3
(Connections to the Physical Sciences)
 MTH 304  Analysis of Differential Equations Credits: 3
MTH 401  Mathematics for the Physical Sciences (4 credits)
 (Complex Analysis and Applications)
 MTH 402  Complex Variables Credits: 3
MTH 304  Analysis of Differential Equations (3 credits)(Applied Mathematics)
 MTH 405  Numerical Analysis Credits: 3
MTH 304  Analysis of Differential Equations (3 credits)
 (Analysis and Topology)
 MTH 441  Topology Credits: 3
MTH 408  Advanced Calculus I (3 credits)
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 401  Mathematics for the Physical Sciences Credits: 4
 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  NonEuclidean Geometry Credits: 3
 MTH 441  Topology Credits: 3
 MTH 465  Automata and Theory of Computation Credits: 3
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 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
 ECO 342  Strategic Games Credits: 3
 ECO 480  Econometrics and Forecasting 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
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 upperdivision 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 Credits: 4
 MTH 202  Calculus II Credits: 4
 MTH 210  Communicating in Mathematics Credits: 4
 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
 CIS 261  Structured Programming in C Credits: 3
 ECO 342  Strategic Games Credits: 3
 ECO 480  Econometrics and Forecasting Credits: 3
 CIS/ 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 K8 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:
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 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 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 410  Modern Algebra II Credits: 3
 MTH 431  NonEuclidean 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
 CIS 261  Structured Programming in C Credits: 3
 ECO 342  Strategic Games Credits: 3
 ECO 480  Econometrics and Forecasting Credits: 3
 CIS/ 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 (4 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 (4 credits)
 MTH 202  Calculus II (4 credits)
 MTH 210  Communicating in Mathematics (4 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 (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 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 (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 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)