Graduate Student Handbook
Mathematics and Applied Mathematics
2003
These requirements apply to all students entering Spring 2003 
Summer 2004. Students previously enrolled as graduate students in
mathematics or applied mathematics may choose to satisfy these
requirements or the ones in effect when they entered graduate
school.
Requirements for InfAs students with Mathematics as home department
Contents
 Introduction
 Admission
 Graduate Program of Study
 Requirements for MS and PhD degrees in Mathematics
 MS program in Mathematics
 PhD program in Mathematics
 Comajor PhD degrees
 Core course requirements
 Qualifying examinations
 Oral preliminary and final examinations
 Graduate English requirements
 Teaching requirement
 Requirements for MS and PhD degrees in Applied Mathematics
 MS program in Applied Mathematics
 PhD program in Applied Mathematics
 Comajor PhD degrees
 Core course requirements
 Qualifying examinations
 Oral preliminary and final examinations
 Graduate English requirements
 Teaching requirement
 Satisfactory progress towards the degree
 MS degree students
 PhD degree students
 Students admitted to the PhD program on entering graduate school
 Students admitted to the PhD program from the MS program
 Admission into the PhD program from the MS program
 Failure to maintain academic standing
 Grievance procedures
 Minor requirements for students from other departments
 Minors in Mathematics
 Minors in Applied Mathematics
1. Introduction
Graduate degree students in mathematics at Iowa State University must meet
requirements specified by the Graduate College, the Department of
Mathematics, and the student's program of study (POS) committee.
The Graduate College requirements are published in the Graduate
College Handbook (GCH). Each graduate student should become familiar with
its contents. The requirements specified by the Mathematics Department are described in
this document. Requirements specified by the student's POS committee are defined at the
time the student's POS committee is formed and the program of study
formulated.
The Mathematics Department offers programs leading to M.S. and
Ph.D. degrees in both mathematics and applied mathematics. In
addition, the Department grants an M.S.M. (Master of School
Mathematics) degree which is intended for secondary school
mathematics teachers.
This document does not address the requirements for the M.S.M. degree.
Listed below is a summary of the most significant requirements of the
Graduate College and the Mathematics Department.
 Graduate English requirement (applies to all international
students; see GCH).
 Core course requirements (see this document).
 Major professor and POS committee (see GCH).
 Program of study (see GCH and this document).
 Written qualifying examination(s) for Ph.D. students (see this document).
 Supervised teaching requirement for Ph.D. students (see this document).
 Oral preliminary examination for Ph.D. students (see this document and GCH).
 Doctoral dissertation, Master's thesis or creative component.
 Final oral examination (see this document and GCH).
Timelines for the sequences of procedures leading to master's and doctor of
philosophy degrees can be found in the GCH.
These requirements are imposed to establish certain minimum
standards for normal situations. However, some situations may be
unusual and require special consideration. Students who believe
their circumstances warrant modification of these requirements
should petition the Departmental Graduate Committee in writing.
The following sections describe the requirements for graduate degrees in
mathematics and applied mathematics.
Continuation in the graduate program and financial support is contingent
upon satisfactory progress toward a degree.
General guidelines for a student making satisfactory progress are outlined
in this document.
2. Admission
New graduate students admitted for study of mathematics or applied
mathematics are placed in either the M.S. program or the
Ph.D. program depending on their academic background. Entering
graduate students vary greatly in their preparation for graduate
work, and consequently are expected to progress in their programs
at different rates. The separation into M.S. and Ph.D degree
programs based on the level of preparation allows fair evaluation
of the progress of each class of student. A student who does not
meet the requirements described below for immediate admission into
the Ph.D. program will be placed in the M.S. program, even though
they may not intend to earn an M.S. degree, but work directly
towards the Ph.D. degree. At the end of two years in the
M.S. degree program a student who meets the requirements stated in
6(iii) below may request a transfer to the
Ph.D. program.
In order to be placed immediately in the Ph.D. program upon
admission, a student must have either been awarded a master's
degree in mathematics, or else have completed at least twelve
credit hours of graduate level mathematics courses that are
acceptable, on transfer, for partially fullfilling the
requirements for an M.S. degree at Iowa State. The master's
degree, or the twelve credits, must have been earned at a
regionally accredited U.S. institution or from a recognized
foreign institution where the requirements for the master's degree
or its equivalent are similar to those at ISU.
3. Graduate Program of Study
The Graduate Coordinator (GC) of the Mathematics Department serves
as Director of Graduate Education (DOGE) for both the mathematics
program and the applied mathematics program. The GC designates a
temporary advisor (normally the GC) for all new graduate students
in the Mathematics Department. The temporary advisor guides the
student in the selection of a field of study and in the
development of a graduate program until the major professor and
the POS committee are selected. The major professor serves as
permanent advisor and as chair of the POS committee. A list of the
duties of the POS committee may be found in the GCH.
Timely selection of a major professor, appointment of a POS
committee, and development of a program of study are essential
requirements. The Graduate College recommends that the committee
be formed as early as the beginning of the third semester of
graduate study. It should be formed no later than the beginning of
the fourth semester for a student in the M.S. program, and the
beginning of the fifth semester for a student in the
Ph.D. program. The major professor will be selected by the student
with the aid of the temporary advisor. The POS committee is
selected by the student with the aid of the major professor.
Failure to select a major professor impedes progress towards the
degree and leads to dismissal from the program.
If for any reason the major professor resigns or is removed from
their position, and the student is in good academic standing, then
the above procedure will be used to select a new major professor
and reconstitute the POS committee.
4. Requirements for MS and PhD degrees in Mathematics
The Mathematics Department offers programs leading to both M.S. and
Ph.D. degrees in Mathematics.
4(i). M.S. program in Mathematics
For the M.S. program a minimum of 30 acceptable credits is required, with at
least 22 of these earned in residence.
The total of 30 credits must include 21 hours of 500600 level
mathematics courses, and these 21 hours must include at least 12 hours of
core courses subject to the conditions in 4(iv) below.
Each student must elect a thesis or nonthesis master's program.
For the thesis program, 6 credits of Math 699 may be included
in the 30 hours. The nonthesis program requires a creative component including a formal mathematics paper.
Three credits of Math 599 may be included in the 30 credits for the
creative component; these credits must be identified on the program of
study.
Although cognate study (as described in 4(ii) below ) is not required at the M.S. level, it is strongly
recommended.
When cognate study is in the form of a minor, it consists of 69 credits
(from the 30 credit total) in a department other than Mathematics.
These credits must be acceptable to the representative of the minor
department on the student's POS committee.
In addition to the course work, the M.S. student must pass an
oral, comprehensive final examination.
A grade of B or better, in the course or on the final examination,
must be earned in each core course on the POS (see
4(iv) and 5(iv) below). A grade of C or better must be earned in all other
courses on the POS. The student must maintain a cumulative grade
point average of at least 3.0 in all course work, exclusive of
research credit.
4(ii). Ph.D. program in Mathematics
For the Ph.D. program, a minimum of 72 acceptable credits is required, with
at least 36 of these earned in residence.
(See the GCH for details regarding credit requirements.)
At least 54 credits must be in formal courses (not research); 18 of the 54
must be in the core courses listed in 4(iv) below. In addition, at least 42 must be in 500600 level
mathematics courses excluding Math 590 and Math 699.
These 42 credits must include development of mathematical breadth beyond
that represented by other specific requirements.
Included in the 54 credits of formal courses is a cognate study
requirement. A cognate course is defined to be a course which is
(i) acceptable for graduate credit, (ii) taught in another
department (a course crosslisted with Mathematics is acceptable
if registered as a course in another department),
and (iii) relevant to the major. Ph.D. students in Mathematics may
satisfy the cognate study requirement by earning 12 credits in
cognate courses. The course work for the cognate study requirement
must be approved by the student's POS committee. A student may
satisfy the requirement by electing a minor in another department.
In addition to the course work, the Ph.D. student must pass two
written qualifying examinations and an oral preliminary examination, prepare a
dissertation, and pass an oral final examination which is usually
limited to the defense of the dissertation. These requirements are
described in subsequent sections.
A grade of B or better, in the course or on the final examination,
must be earned in each core course on the POS (see
4(iv) and 5(iv) below).
A grade of C or better must be earned in all other
courses on the POS. The student must maintain a cumulative grade
point average of at least 3.33 in graduate level mathematics courses and of at
least 3.0 in all course work, exclusive of research credit.
4(iii). Comajor Ph.D. degrees
Wellqualified students are encouraged to consider a Ph.D. program
having a comajor in Mathematics and some other appropriate
program. Such programs are to be initiated by a written proposal
from the student to the Mathematics Department Graduate Committee.
The proposal must contain an outline of how all requirements are
to be met. Authorization by the Graduate Committee to embark on a
comajor program will be based on this proposal, and on the
academic history of the student. The POS committee is to be
directed by cochairmen, one from each of the comajor
departments. The dissertation must have significant content in
both fields. Comajor programs are subject to the following
minimum standards.
 Comajor Ph.D. students are required to earn at least 30
credits in 500600 level mathematics courses other than Math 590
and 699. They are required to take a total of four courses from
the mathematics core including at least one oneyear
sequence (Math 504505 or Math 515516). They are also required
to pass one of the qualifying examinations described in 4(v) below.
 Comajor Ph.D. students
are required to have two years of professional experience
including at least one year of supervised teaching. The other year
may be supervised research as a research assistant or associate.
4(iv). Core course requirements
The core course requirements are satisfied by taking courses in two areas.
The areas and the core courses are
 Algebra  Math 504 and 505
 Linear Algebra  Math 510
 Real Analysis  Math 515 and 516
 Functions of a Single Complex Variable  Math 511
The core course requirements for M.S. and Ph.D. degrees
in Mathematics are:
 M.S. students must take at least two of the three courses in algebra
and linear algebra and at least two of the three courses in real and
complex analysis
 Ph.D. students must take all six core courses.
In order to maintain flexibility for students to change from
Applied Mathematics to Mathematics, core course requirements for
the Applied Mathematics degree (see 5(iv) below ) may be substituted for the core course
requirements listed above in one of the two areas of algebra or
analysis.
A grade of B or better must be earned in each core course.
A deficiency may be made up by taking a final examination during a
subsequent offering of the course and receiving a grade of B or better, or
by passing the corresponding written qualifying examination.
4(v). Qualifying examinations
A Ph.D. student in the Mathematics Program must pass two written
qualifying examinations. The student must take a written
qualifying examination covering material in two of the following
four areas.
Students are strongly encouraged to consult their major professor
prior to deciding which examinations to take, since certain
examination combinations may not be suitable for certain areas of
research.
A student taking an examination will be responsible for the topics
listed in the appropriate syllabus. These topics are normally
covered in the appropriate core courses as listed below:
 Algebra: Math 504505 and Math 510.
 Real and Complex Analysis: Math 51516 and Math 511.
 Methods of Applied Mathematics: Math 519520.
 Numerical Analysis: Math 502503.
However, the qualifying examination syllabi are definitive, and
not all topics on the syllabi are covered each year in the
appropriate courses. It is the student's responsibility to be
prepared to answer questions about any topic on the appropriate
syllabus.
A student will be allowed two attempts to pass a given qualifying
examination. A student who fails the same qualifying examination
twice may appeal in writing to the Graduate Committee to take it a
third time if supported by a majority of the appropriate
Qualifying Examination Committee. More than two failures on any
combination of qualifying exams constitute grounds for dismissal
from the Ph.D. program.
Students must request the examination in advance via the GC. This
is usually done the semester before the scheduled examination so
that a committee may be formed to write and grade the examination.
Requests can be canceled before 4pm on the day preceding the day
of the exam. If an examination is requested and not canceled, it
counts as one attempt (whether or not the examination is actually
written). The examinations are usually given twice a year: in
August before or at the beginning of the Fall semester, and in
January before or at the beginning of the Spring semester.
4(vi). Oral preliminary and final examinations
The oral preliminary examination tests a student's knowledge of
the major, minor and supporting fields of their research area. The
examination is taken after a student has passed both written
qualifying examinations, satisfied the graduate English
requirement, formed a POS committee, and has an approved POS form.
A student who
fails the preliminary oral examination is allowed to retake it
one additional time. Six months must elapse between the first
attempt and the second. The preliminary oral examination must be
passed at least six months prior to the final defense, unless an
exception is allowed by the Dean of the Graduate College. A form
requesting scheduling of the examination must be submitted to the
Graduate College at least two weeks before the proposed date of
the examination.
The final examination of an M.S. candidate is oral and
comprehensive. It normally consists of a defense of the thesis or
creative component and an examination of the candidate's knowledge
of the topics covered in the program of study.
The final examination of a Ph.D. candidate is oral, and is usually
limited to a defense of the dissertation.
4(vii). Graduate English requirements
Graduate students
whose native language is English are no longer required to take an English diagnostic test.
See http://www.gradcollege.iastate.edu/about/englishexamination.html.
Graduate students whose native language is not English,
and who do not have a bachelor's degree from ISU,
must take the English Placement Test at the beginning of their
first semester of enrollment. A student who does not pass this
examination is assigned to one or more courses in the English 101
series. This course work must be completed during the first year
of study. (See the GCH for details.)
Graduate students whose native language is not English,
but who do have a bachelor's degree from a U.S. institution, are no longer required to
take the Graduate English Examination for International Students.
4(viii). Teaching requirement
Each Ph.D. student is required to have one year of supervised
teaching. However, if approved by the student's POS committee,
equivalent supervised experience in oral mathematics communication
may be substituted for teaching. In that case the POS committee
must specify in writing what the equivalent experience will be.
Every teaching assistant must demonstrate an ability to teach
effectively. To assure this, before the beginning of the first
semester they assumes their duties, teaching assistants are
required to give a short, prepared lecture to a panel of
experienced teaching assistants and/or faculty that is suitable
for an algebra, trigonometry, or similar class. In addition, each
teaching assistant whose native language is not English must take
the SPEAK/TEACH test (the test administered by the University to
screen applicants for classroom duties). They must pass it at the
first or second level before they are assigned a class or
recitation section, and they must pass it at the first or second
level within their first year of residence to guarantee continued
financial support.
5. Requirements for MS and PhD degrees in Applied Mathematics
The Mathematics Department offers programs leading to both M.S. and
Ph.D. degrees in Applied Mathematics.
5(i). M.S. program in Applied Mathematics
For the M.S. program a minimum of 30 acceptable credits is required, with at
least 22 of these earned in residence.
The total of 30 credits must include 21 hours of 500600 level
mathematics courses, and these 21 hours must include at least 12 hours of
core courses subject to the conditions in 5(iv) below.
Each student must elect a thesis or nonthesis master's program.
For the thesis program, 6 credits of Math 699 may be included
in the 30 hours. The nonthesis program requires a creative component including a formal mathematics paper.
Three credits of Math 599 may be included in the 30 credits for the
creative component; these credits must be identified on the program of
study.
Although cognate study (as described in 5(ii) below ) is not required at the M.S. level, it is strongly
recommended.
When cognate study is in the form of a minor, it consists of 69 credits
(from the 30 credit total) in a department other than Mathematics.
These credits must be acceptable to the representative of the minor
department on the student's POS committee.
In addition to the course work, the M.S. student must pass an
oral, comprehensive final examination.
A grade of B or better, in the course or on the final examination,
must be earned in each core course on the POS (see
5(iv) below). A grade of C or better must be earned in all other
courses on the POS. The student must maintain a cumulative grade
point average of at least 3.0 in all course work, exclusive of
research credit.
5(ii). Ph.D. program in Applied Mathematics
For the Ph.D. program, a minimum of 72 acceptable credits is required, with
at least 36 of these earned in residence.
(See the GCH for details regarding credit requirements.)
At least 54 credits must be in formal courses (not research); 18 of the 54
must be in the core courses listed in 5(iv) below. In addition, at least 42 must be in 500600 level
mathematics courses excluding Math 590 and Math 699.
These 42 credits must include development of mathematical breadth beyond
that represented by other specific requirements.
Included in the 54 credits of formal courses is a cognate study
requirement. A cognate course is defined to be a course which is
(i) acceptable for graduate credit, (ii) taught in another
department (a course crosslisted with Mathematics is acceptable
if registered as a course in another department),
and (iii) relevant to the major. Ph.D. students in Applied Mathematics may
satisfy the cognate study requirement by earning 12 credits in
cognate courses. The course work for the cognate study requirement
must be approved by the student's POS committee. A student may
satisfy the requirement by electing a minor in another department.
In addition to the course work, the Ph.D. student must pass two
written qualifying examinations, pass an oral preliminary examination, prepare a
dissertation, and pass an oral final examination which is usually
limited to the defense of the dissertation. These requirements are
described in subsequent sections.
A grade of B or better
must be earned in each core course, and
a grade of C or better in all other
courses of the POS. The student must maintain a cumulative grade
point average of at least 3.33 in graduate level mathematics courses and of at
least 3.0 in all course work, exclusive of research credit.
5(iii). Comajor Ph.D. degrees
Wellqualified students are encouraged to consider a Ph.D. program
having a comajor in Applied Mathematics and some other appropriate
program. Such programs are to be initiated by a written proposal
from the student to the Mathematics Department Graduate Committee.
The proposal must contain an outline of how all requirements are
to be met. Authorization by the Graduate Committee to embark on a
comajor program will be based on this proposal, and on the
academic history of the student. The POS committee is to be
directed by cochairmen, one from each of the comajor
departments. The dissertation must have significant content in
both fields. Comajor programs are subject to the following
minimum standards.
 Comajor Ph.D. students are required to earn at least 30
credits in 500600 level mathematics courses other than Math 590
and 699. They are required to take a total of four courses from
the applied mathematics core including at least one oneyear
sequence (Math 502503 or Math 519520). They are also required
to pass one of the qualifying examinations described in 5(v) below.
 Comajor Ph.D. students
are required to have two years of professional experience
including at least one year of supervised teaching. The other year
may be supervised research as a research assistant or associate.
5(iv). Core course requirements
The core course requirements are satisfied by taking courses in two areas.
The areas and the core courses are
 Numerical Analysis  Math 502 and 503
 Real Analysis  Math 515
 Methods of Applied Mathematics  Math 519 and 520
 Functions of a Single Complex Variable  Math 511
 Ordinary Differential Equations  Math 557
The core course requirements for M.S. and Ph.D. degrees
in Applied Mathematics are:
 M.S. students must take at least four courses including
either the Math 502503 sequence or the Math 519520 sequence.
 Ph.D. students must take all core courses in Numerical
Analysis, Real Analysis, and Methods of Applied Mathematics, and
either Math 511 or Math 557.
A grade of B or better must be earned in each core course.
A deficiency may be made up by taking a final examination during a
subsequent offering of the course and receiving a grade of B or better, or
by passing the corresponding written qualifying examination.
5(v). Qualifying examinations
Ph.D. students in the Applied Mathematics Program must pass two written
qualifying examinations. They must take a written
qualifying examination covering material in two of the following
four areas.
Students are strongly encouraged to consult their major professor
prior to deciding which examinations to take, since certain
examination combinations may not be suitable for certain areas of
research.
A student taking an examination will be responsible for the topics
listed in the appropriate syllabus. These topics are normally
covered in the appropriate core courses as listed below:
 Methods of Applied Mathematics: Math 519520.
 Numerical Analysis: Math 502503.
 Algebra: Math 504505 and Math 510.
 Real and Complex Analysis: Math 51516 and Math 511.
However, the qualifying examination syllabi are definitive, and
not all topics on the syllabi are covered each year in the
appropriate courses. It is the student's responsibility to be
prepared to answer questions about any topic on the appropriate
syllabus.
A student will be allowed two attempts to pass a given qualifying
examination. A student who fails the same qualifying examination
twice may appeal in writing to the Graduate Committee to take it a
third time if supported by a majority of the appropriate
Qualifying Examination Committee. More than two failures on any
combination of qualifying exams constitute grounds for dismissal
from the Ph.D. program.
Students must request the examination in advance via the GC. This
is usually done the semester before the scheduled examination so
that a committee may be formed to write and grade the examination.
Requests can be canceled before 4pm on the day preceding the day
of the exam. If an examination is requested and not canceled, it
counts as one attempt (whether or not the examination is actually
written). The examinations are usually given twice a year: in
August before or at the beginning of the Fall semester, and in
January before or at the beginning of the Spring semester.
5(vi). Oral preliminary and final examinations
The oral preliminary examination tests a student's knowledge of
the major, minor and supporting fields of their research area. The
examination is taken after a student has passed both written
qualifying examinations, satisfied the graduate English
requirement, formed a POS committee, and has an approved POS form.
A student who
fails the preliminary oral examination is allowed to retake it
one additional time. Six months must elapse between the first
attempt and the second. The preliminary oral examination must be
passed at least six months prior to the final defense, unless an
exception is allowed by the Dean of the Graduate College. A form
requesting scheduling of the examination must be submitted to the
Graduate College at least two weeks before the proposed date of
the examination.
The final examination of an M.S. candidate is oral and
comprehensive. It normally consists of a defense of the thesis or
creative component and an examination of the candidate's knowledge
of the topics covered in the program of study.
The final examination of a Ph.D. candidate is oral, and is usually
limited to a defense of the dissertation.
5(vii). Graduate English requirements
Graduate students
whose native language is English are no longer required to take an English diagnostic test.
See http://www.gradcollege.iastate.edu/about/englishexamination.html.
Graduate students whose native language is not English,
and who do not have a bachelor's degree from ISU,
must take the English Placement Test at the beginning of their
first semester of enrollment. A student who does not pass this
examination is assigned to one or more courses in the English 101
series. This course work must be completed during the first year
of study. (See the GCH for details.)
Graduate students whose native language is not English,
but who do have a bachelor's degree from a U.S. institution, are no longer required to
take the Graduate English Examination for International Students.
5(viii). Teaching requirement
Each Ph.D. student is required to have one year of supervised
teaching. However, if approved by the student's POS committee,
equivalent supervised experience in oral mathematics communication
may be substituted for teaching. In that case the POS committee
must specify in writing what the equivalent experience will be.
Every teaching assistant must demonstrate an ability to teach
effectively. To assure this, before the beginning of the first
semester they assumes their duties, teaching assistants are
required to give a short, prepared lecture to a panel of
experienced teaching assistants and/or faculty that is suitable
for an algebra, trigonometry, or similar class. In addition, each
teaching assistant whose native language is not English must take
the SPEAK/TEACH test (the test administered by the University to
screen applicants for classroom duties). They must pass it at the
first or second level before they are assigned a class or
recitation section, and they must pass it at the first or second
level within their first year of residence to guarantee continued
financial support.
6. Satisfactory progress towards the degree
Every Spring each graduate student, with assistance from their
advisor, is required to complete a Graduate Student
Activities Report for the previous calendar year. In addition,
instructors are requested to prepare brief evaluations of each
mathematics graduate student's performance in each core course;
these are placed in the student's file. The Graduate Committee
uses this information to assess each student's progress and make
recommendations to the Department Chair for financial
support for the next academic year.
The Committee uses the following general guidelines as criteria to
assess progress toward the degree.
6(i). M.S. degree students
Students in the M.S. program should complete all requirements for
the M.S. degree in two years. Under special circumstances, the
student and their advisor may request an additional semester of
support. International students with teaching assistantships must
pass the SPEAK/TEACH test within their first year. The Graduate
English requirement must be satisfied by all students during their
first year. A POS committee must be formed before the end of the
third semester in the M.S. program.
The student must maintain a cumulative grade point average of at least 3.0
in all course work, exclusive of research credit.
6(ii). Ph.D. degree students
(a) Students admitted to the Ph.D. program on entering graduate school
A student should complete all requirements for
the Ph.D. degree in four years. Under special circumstances, the
student and their major professor may request one additional year
of support. The student should take at least one qualifying
examination by the beginning of the third semester, pass one
examination by the beginning of the fourth semester, and pass both
examinations by the beginning of the sixth semester. The POS
committee should be formed by the beginning of the fifth semester.
The oral preliminary examination should be taken no later than the
beginning of the seventh semester.
The student must maintain a cumulative grade point average of at least 3.33
in graduate level mathematics courses and of at least 3.0 in all course work, exclusive of
research credit.
(b) Students admitted to the Ph.D. program from the M.S. program
(See 6(iii) below.) A student
should complete all requirements for the Ph.D. degree within three
years of admission to the Ph.D. program. Under special
circumstances, the student and their major professor may request
one additional year of support. The student should pass both
qualifying exams by the beginning of the third semester in the
Ph.D. program. A POS committee for the Ph.D. should be formed by
the beginning of the third semester in the Ph.D. program. The oral
preliminary examination should be taken by the beginning of the
fifth semester in the Ph.D. program.
The student must maintain a cumulative grade point average of at least 3.33
in graduate level mathematics courses and of at least 3.0 in all course work, exclusive of
research credit.
6(iii). Admission into the Ph.D. program from the M.S. program
On admission to the graduate program at Iowa State, a student who
does not meet the requirements specified in
Section 2 above will be placed in the M.S. program, even
though they may not ultimately obtain this degree. At the end of
the second year a student desiring to continue for a Ph.D. should
request admission into the Ph.D. program. This request should be
made on the Graduate Student Activities Report or in writing to
the GC. Students requesting admission into the Ph.D. program
should meet the following minimum requirements:
 A student must have maintained a 3.33 or better grade point average
on graduate level mathematics courses.
 A student must have passed at least one written qualifying examination.
Students who fail to meet these requirements will be
classified as terminal M.S. candidates.
6(iv). Failure to maintain academic standing
If a graduate student does not maintain a cumulative 3.0 grade
point average on all course work taken, exclusive of research
credit, they may be placed on probation by the Dean of the
Graduate College. The Graduate College places a hold on future
registrations by a student on probation; see the GCH for more
details. Before a student on probation registers for each term,
there must be a review of their record by the POS committee.
Further registration will not then be permitted without
recommendation in writing by the GC to the Graduate College.
It is the purpose of the yearly review to anticipate any problems
that a student may have in making satisfactory progress toward a
degree. Generally, failure to meet the time limits or maintain the
grade point averages specified in 6(i) above and
6(ii) above is considered the main
evidence of unsatisfactory academic progress. If the student fails
to meet any of the time limits under extenuating circumstances,
they may petition the Graduate Committee for extension of one or
more of those limits.
Under certain circumstances it may be necessary to terminate a
graduate student's enrollment in a program because of lack of
satisfactory academic progress, or for other reasons as specified
in the GCH. In particular, a Ph.D. candidate who fails any
combination of three qualifying examinations is liable for
dismissal. The procedures of dismissal are spelled out in the GCH.
6(v). Grievance procedures
If dismissal is based on failure to make satisfactory progress,
the graduate student may appeal to an ad hoc grievance committee
that is appointed for this purpose by the Chair of the Mathematics
Department. Details of the constitution of the grievance
committee, and the procedures it will follow, are given in the
GCH.
7. Minor requirements for students from other departments
7(i). Minors in Mathematics
Ph.D. students who declare a minor in Mathematics are required to
have:
 a knowledge of advanced calculus and abstract algebra;
 at least 12 credits in mathematics courses acceptable for graduate
credit;
 at least 6 of the above 12 credits from 500 or 600level mathematics courses.
M.S. students who declare a minor in Mathematics are required to
have at least 6 credits in mathematics courses acceptable for
graduate credit and at the 400level or above.
7(ii). Minors in Applied Mathematics
Ph.D. students who declare a minor in Applied Mathematics are required to
have:
 a knowledge of advanced calculus;
 at least 12 credits in mathematics courses acceptable for graduate
credit;
 at least 6 of the above 12 credits from 500 or 600level mathematics courses.
M.S. students who declare a minor in Applied Mathematics are required to
have at least 6 credits in mathematics courses acceptable for
graduate credit and at the 400level or above.
