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Program Revision Guidelines
EASTERN MICHIGAN UNIVERSITY
DIVISION OF ACADEMIC AFFAIRS
OUTLINE FOR SUBMITTING PROPOSALS TO REVISE PROGRAMS
Use this outline to prepare proposals to revise existing programs, including undergraduate majors and minors
and graduate degree programs and certificates. Proposals for revising programs should be submitted in
narrative form, using the following outline. Guidelines are on the following page.
PROGRAM NAME AND SUBJECT CODE:
M.A. IN MATHEMATICS (MTH)
REVISED PROGRAM NAME AND SUBJECT CODE (IF APPLICABLE):
DEGREE:
M.A.
DEPARTMENT(S)/SCHOOL(S):
CONTACT PERSON:
MATHEMATICS
COLLEGE(S):
CHRIS GARDINER
REQUESTED START DATE: TERM FALL
YEAR
ARTS $ SCIENCES
CONTACT PHONE:
7-1444
CONTACT EMAIL:
cgardiner@emich.edu
2015
I. Rationale
In carrying out the mandate to replace 400-level courses that are offered for graduate credit
with 500-level courses, we have had to change some course numbers, and we have also
decided to add one new course as a restricted elective.
Specifically:
• MATH 411 Abstract Algebra is replaced by MATH 512 Abstract Algebra
• MATH 416 Linear algebra is replaced by MATH 516 Linear Algebra I
• MATH 420 Introduction to Real analysis is replaced by MATH 520 Real Analysis I
• MATH 511 Linear Algebra becomes MATH 517 Linear Algebra II
• MATH 526 Real Analysis becomes MATH 526 Real analysis II
• The new course MATH 514 Field Theory becomes an “Algebra” restricted elective.
II. Description of Current Program
Master of Arts in Mathematics (MTH)
Objectives
• To develop competence in mathematics and related areas beyond the undergraduate level.
• To improve the teaching of mathematics.
Miller, Program Revision Guidelines
Sept. 09
Program Revision Guidelines
•
•
•
•
To prepare for study beyond the master’s level in mathematics or mathematics education.
To strengthen the mathematical background of professionals needing analytical and quantitative
skills.
To meet the needs of teachers continuing their education.
To provide opportunities for research in mathematics and mathematics education.
Admission Requirements
Applicants must:
• Meet the Graduate School’s degree admission requirements; and
• Possess a strong undergraduate major in mathematics (approximately 30 hours with a GPA of 2.75 in
mathematics courses). Students without such a major may be admitted to the program after meeting
requirements specified by the department.
Degree Requirements
The master of arts degree in mathematics requires at least 30 graduate hours beyond the bachelor’s
degree, distributed with the approval of the department according to the course requirements below.
Approval by the student’s advisor of each semester’s courses prior to registration is recommended.
Final approval for the degree by the coordinator of advising is required.
Research Requirement
Students must select one of the following options:
Option I: Four hours of thesis research. Additional thesis hours may be taken, but will not replace the
requirements listed below under required courses, restricted electives, electives and cognates. Before
starting thesis research, students must submit to the department head a request to form a thesis
committee to be made up of three faculty members in the department. The chair, who will direct the
research, is usually selected by the student and requires the approval of the department head. The
chair, in consultation with the student, will then recommend for department-head approval the other
two committee members. At the conclusion of their research, students must submit to the department
head the original thesis plus three copies written in a manner suitable for publication and approved by
the thesis committee. A presentation, based on the thesis, will be made to at least three departmental
faculty members.
Option II: At least two hours in research study. Students who elect this option will, with the approval
of the coordinator of advising, select a supervisor to direct the research study. A copy of the study,
written in good and acceptable form, must be filed with the department.
Advisor Information:
Bingwu Wang Ph.D.
515 Pray-Harrold
(734) 487-1444
bwang@emich.edu
Course Requirements:
The M.A. in Mathematics requires the completion of 30 hours of course work to be distributed among
required courses, restricted elective courses, research courses, elective courses in mathematics and cognate
courses as follows:
Required Courses: 0-9 hours
* MATH 411 - Abstract Algebra 3 hrs
Miller, Program Revision Guidelines
Sept. 09
Program Revision Guidelines
* MATH 416 - Linear Algebra 3 hrs
* MATH 420 - Introduction to Real Analysis 3 hrs
Restricted Elective Courses: 5-6 hours
One course from two of the following three groups:
Algebra
MATH 511 – Linear Algebra 3 hrs
MATH 518 - Theory of Groups 3 hrs
Analysis
MATH 522 - Fourier Analysis 3 hrs
MATH 524 - Complex Analysis 3 hrs
MATH 526 - Real Analysis 3 hrs
Probability and Statistics
MATH 568 - Biostatistics 3 hrs
MATH 571 - Mathematical Statistics I: Probability Theory 3 hrs
MATH 573 - Statistical Data Analysis 2 hrs
MATH 671 - Mathematical Statistics II: Statistical Inference 3 hrs
Research Courses: 2-4 hours
MATH 691/692 Research Study (2/3 hrs) for either two or three hours in research study or four hours
of thesis research
Elective Courses in Mathematics: 5-23 hours
Usually no more than six hours in mathematics education courses. Thesis or research study hours in
mathematics education do not count as part of this six-hour limitation.
Cognate Course: 0-6 hours
May be taken, in consultation with the graduate advisor, outside the Department of Mathematics, but
in an area related to mathematics. The number of such hours permitted in the program will be based
on the student’s background and needs. Current or prospective teachers of mathematics may take,
instead of cognates, up to six additional hours in mathematics education beyond those permitted as
electives above.
Program Total: 30 hours
* Students with undergraduate credit equivalent to any or all of these courses (MATH 512, MATH 516 or
MATH 520) will substitute approved mathematics electives for these hours.
III. Proposed Revision
Master of Arts in Mathematics (MTH)
Objectives
• To develop competence in mathematics and related areas beyond the undergraduate level.
• To improve the teaching of mathematics.
• To prepare for study beyond the master’s level in mathematics or mathematics education.
• To strengthen the mathematical background of professionals needing analytical and quantitative
skills.
• To meet the needs of teachers continuing their education.
• To provide opportunities for research in mathematics and mathematics education.
Admission Requirements
Miller, Program Revision Guidelines
Sept. 09
Program Revision Guidelines
Applicants must:
• Meet the Graduate School’s degree admission requirements; and
• Possess a strong undergraduate major in mathematics (approximately 30 hours with a GPA of 2.75 in
mathematics courses). Students without such a major may be admitted to the program after meeting
requirements specified by the department.
Degree Requirements
The master of arts degree in mathematics requires at least 30 graduate hours beyond the bachelor’s
degree, distributed with the approval of the department according to the course requirements below.
Approval by the student’s advisor of each semester’s courses prior to registration is recommended.
Final approval for the degree by the coordinator of advising is required.
Research Requirement
Students must select one of the following options:
Option I: Four hours of thesis research. Additional thesis hours may be taken, but will not replace the
requirements listed below under required courses, restricted electives, electives and cognates. Before
starting thesis research, students must submit to the department head a request to form a thesis
committee to be made up of three faculty members in the department. The chair, who will direct the
research, is usually selected by the student and requires the approval of the department head. The
chair, in consultation with the student, will then recommend for department-head approval the other
two committee members. At the conclusion of their research, students must submit to the department
head the original thesis plus three copies written in a manner suitable for publication and approved by
the thesis committee. A presentation, based on the thesis, will be made to at least three departmental
faculty members.
Option II: At least two hours in research study. Students who elect this option will, with the approval
of the coordinator of advising, select a supervisor to direct the research study. A copy of the study,
written in good and acceptable form, must be filed with the department.
Advisor Information:
Bingwu Wang Ph.D.
515 Pray-Harrold
(734) 487-1444
bwang@emich.edu
Course Requirements:
The M.A. in Mathematics requires the completion of 30 hours of course work to be distributed among
required courses, restricted elective courses, research courses, elective courses in mathematics and cognate
courses as follows:
Required Courses: 0-9 hours
* MATH 512 - Abstract Algebra 3 hrs
* MATH 516 - Linear Algebra I 3 hrs
* MATH 520 - Real Analysis I 3 hrs
Restricted Elective Courses: 5-6 hours
One course from two of the following three groups:
Algebra
MATH 514 - Theory of Fields 3 hrs
MATH 517 – Linear Algebra II 3 hrs
Miller, Program Revision Guidelines
Sept. 09
Program Revision Guidelines
MATH 518 - Theory of Groups 3 hrs
Analysis
MATH 522 - Fourier Analysis 3 hrs
MATH 524 - Complex Analysis 3 hrs
MATH 526 - Real Analysis II 3 hrs
Probability and Statistics
MATH 568 - Biostatistics 3 hrs
MATH 571 - Mathematical Statistics I: Probability Theory 3 hrs
MATH 573 - Statistical Data Analysis 2 hrs
MATH 671 - Mathematical Statistics II: Statistical Inference 3 hrs
Research Courses: 2-4 hours
MATH 691/692 Research Study (2/3 hrs) for either two or three hours in research study or four hours
of thesis research
Elective Courses in Mathematics: 5-23 hours
Usually no more than six hours in mathematics education courses. Thesis or research study hours in
mathematics education do not count as part of this six-hour limitation.
Cognate Course: 0-6 hours
May be taken, in consultation with the graduate advisor, outside the Department of Mathematics, but
in an area related to mathematics. The number of such hours permitted in the program will be based
on the student’s background and needs. Current or prospective teachers of mathematics may take,
instead of cognates, up to six additional hours in mathematics education beyond those permitted as
electives above.
Program Total: 30 hours
* Students with undergraduate credit equivalent to any or all of these courses (MATH 512, MATH 516 or
MATH 520) will substitute approved mathematics electives for these hours.
IV. Impact
There is very little real change to the program. Course numbering is a little more consistent,
students will no longer take 400-level courses for graduate accredit, and studetns will have
the opportunity to take the new course MATH 514 Field Theory as a restricted elective,
Algebra option. Field theory is an important and very beautiful part of the branch of
mathematics referred to here as “Algebra”.
V. Budget
This revision has no budget implication.
VI. Action of the Department/College
Miller, Program Revision Guidelines
Sept. 09
Program Revision Guidelines
1. Department/School:
Vote of faculty:
For
17
Against 0
(Enter the number of votes cast in each category.)
I support this proposal. The proposed revision can X
cannot
Department(s)/School(s) without additional College or University resources.
Department Head/School Director Signature
Abstentions
0
be implemented within the affected
Date
2. College/Graduate School:
A. College
I support this proposal. The proposed program can
College without additional University resources.
cannot
be implemented within the affected
College Dean Signature
Date
B. Graduate School (Graduate Program Revisions ONLY)
Graduate Dean Signature
Date
VII. Approval
Associate Vice-President for Academic Programming Signature
Date
VIII. Appendices
A. Market Analysis/Needs Assessment
B. Mandates
C. Request for New/Revised Course Forms
D. Letters of Support from Impacted Departments
E. Cost Analysis (Complete only if the revision cannot be implemented without additional University resources. Fill in
Estimated Resources for the sponsoring department(s). Attach separate estimates for other affected departments.)
Estimated Resources:
Year One
Year Two
Year Three
Faculty / Staff
$_________
$_________
$_________
SS&M
$_________
$_________
$_________
Equipment
$_________
$_________
$_________
Total
Miller, Program Revision Guidelines
Sept. 09
$_________
$_________
$_________
Program Revision Guidelines
Miller, Program Revision Guidelines
Sept. 09
Program Revision Guidelines
EASTERN MICHIGAN UNIVERSITY
DIVISION OF ACADEMIC AFFAIRS
DIRECTIONS FOR PREPARING PROPOSALS TO REVISE DEGREE PROGRAMS
Departments/Schools intending to submit proposals for revising programs are encouraged to consult with the
Course and Program Development Office and, if appropriate, the Graduate School prior to submitting such
proposals. Proposals for program revisions should be submitted in narrative form, according to the following
guidelines:
I. Rationale: Explain completely the rationale for the proposed revision. If it is the result of a market analysis or needs
assessment, include documentation as Appendix A. If the revision is the result of state of Michigan, federal or accrediting
agency mandate, attach documentation, including required implementation date, as Appendix B.
II. Description of Current Program: Describe the current program as it appears in the most recent University catalog.
Include information about major/minor requirements, restricted and general electives, and the minimum number of total credit
hours students completing the program will have taken by the time they graduate.
III. Proposed Revision: Provide a complete description of the revised program, organized so that the current and revised
programs can easily be compared. Include a list of any new or revised courses. Indicate whether the proposed revision will
increase the number of credit hours in the program, and provide a rationale for any increase.. Attach completed Request for New
Course and/or Request for Course Revision form for each proposed new or revised course as Appendix C.
IV. Impact: Indicate whether and how the proposed revision will impact other University programs. Attach letters of support
from affected departments as Appendix D.
V. Budget: Describe the budgetary impact of the proposed revision. If new resources will be needed, indicate their source.
If the revision will require resources beyond those the department/school or college can provide, attach a cost analysis as
Appendix E. (Note: If a significant portion of the cost of the revised program will be borne by Continuing Education, include
evidence of Continuing Education’s willingness to bear those costs.)
Miller, Program Revision Guidelines
Sept. 09
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