Department of Mathematics, 123 BAC, 529-5818, www.miamioh.edu/math
Department of Statistics, 311 UPH, 5297828, www.miamioh.edu/stat
Study
in the fields of mathematics and statistics emphasizes careful problem
analysis, precision of thought and expression, and the mathematical skills
needed for work in many other areas.
Fields in which mathematics and statistics play a major role include
actuarial science, astronomy, chemistry, physics, computer science, economics,
engineering, biology, geophysics, oceanography, meteorology, linguistics,
cryptology, seismology and ecology.
Many
important problems in government, private industry, health and environmental
fields, and the academic world require sophisticated mathematical techniques
for their solution. The study of
mathematics and statistics provides specific analytical and quantitative tools,
as well as general problem-solving skills, for dealing with these
problems. Although many of these
applications involve computers, there is a growing demand for graduates with
broad mathematical training in addition to experience with computers.
The College of Arts and Science offers a Bachelor of Arts degree in mathematics, and three Bachelor of Science degrees in mathematics, mathematics and statistics, and statistics. The Arts degree allows a broader range of studies, and the B.S. degrees provide a more technical education. Licensure to teach mathematics in secondary schools is an integral part of the B.S. degree in mathematics offered by the School of Education. Minors are also offered in statistics, mathematics, actuarial science, and operations research methods.
Section
headings in this document:
GRADUATE / PROFESSIONAL SCHOOL OPPORTUNITIES
SOURCES OF ADDITIONAL INFORMATION
HOW TO BEGIN - THE FIRST TWO YEARS
MATHEMATICS AND STATISTICS DEGREE REQUIREMENTS
EXPECTED OFFERINGS IN MATHEMATICS AND STATISTICS
MINOR IN OPERATIONS RESEARCH METHODS
PRIZES AND SCHOLARSHIPS IN MATHEMATICS AND STATISTICS
What careers do math/stat majors
pursue? The following table gives
some of the possibilities. The
next section looks at post-graduate education opportunities.
|
Actuarial
and Insurance |
Statistics |
Computer
and Information Sciences |
|
|
Actuary |
Analytical
statistician |
Computer
programmer |
|
|
Accountant |
Theoretical
statistician |
Data processor |
|
|
Investment
analyst |
Demographer |
Data
base manager |
|
|
Benefits
specialist |
Quality
control analyst |
Applications
programmer |
|
|
Financial
planner |
Econometrician |
Systems
analyst |
|
|
|
Psychometrician |
Computer
applications engineer |
|
|
Business
/ Industry |
Biometrician |
Control
Systems engineer |
|
|
Engineering
analyst |
|
Numerical
analyst |
|
|
Financial
analyst |
Health |
|
|
|
Statistician |
Ecologist |
Teaching |
|
|
Technical
writer |
Biomathematician |
Teacher
/ junior high / high school |
|
|
Communications
engineer |
Biomedical
engineer |
Secondary school teacher |
|
|
Fluid
dynamics analyst |
|
Community college instructor |
|
|
Consultant |
Operations
Research |
College and university instructor |
|
|
Grant
proposal writer |
Operations
analyst |
|
|
|
Product
developer |
Systems
engineer |
|
|
|
Market
researcher |
|
|
NOTE: Some of the listed career options may require
additional education and/or training beyond the bachelor's degree.
A
Bachelor's degree in mathematics and/or statistics is an excellent base for
students planning to pursue a master's or doctorate degree in a more
specialized or technical field such as business administration, computer
engineering, computer science, operations research, statistics, or
economics. Additionally mathematics
or statistics is an appropriate pre-professional degree for students
considering fields such as law, business, or medicine.
Arts
and Science Academic Advising
146
Upham, 529-3031, http://www.cas.miamioh.edu/advising
-
University & Liberal Education Requirements
-
Career Decision Making
Office
of Career Services and Career
Exploration and Testing Center
200
Hoyt Hall, 529-3831, http://www.miamioh.edu/careers
This Information for
Mathematics and Statistics Majors (IMSM) lists the requirements for the various
degrees. This document is not meant to replace advising, because to know the
requirements is not the same as knowing how to meet these requirements. The difficult part is knowing when
someone is ready to take a given mathematics or statistics course, because this
often means more than simply meeting the prerequisites. An adviser can be of great help in this
regard, as well as helping insure that a studentŐs interpretation of
requirements is accurate.
Students
with a major in these departments have an assigned faculty adviser with whom
they are strongly encouraged to meet on a regular basis. Questions that cannot be settled with
one's adviser can be taken to a Chief Departmental Adviser (CDA): Professor Brezhneva (529-9753, 212 BAC,
brezhnoa@miamioh.edu) for mathematics; Professor Dunn (529-1952, 304B UPH, dunncl@miamioh.edu) for statistics.
If
every student planning to take an upper division course in mathematics or
statistics were to talk that decision over with an adviser, it would help
insure against problems later on.
This is not to guarantee that you will do well after seeing an adviser,
but your chances will improve. You
will be more aware of what you are
getting into and what to do if it
does not work out.
During
their first two years of study, most MTH / STA majors complete a Calculus
sequence (ending with Calculus III, MTH 252 or MTH 252.H), Linear Algebra (MTH
222) and one to three additional Mathematics or Statistics courses. Students may begin the statistics
sequence (STA 301, 401, É) prior to Calculus III but will need Calculus III and
either MTH 222 or MTH 231 for higher-level STA courses. An adviser can help you choose
additional courses in mathematics or statistics beyond the 200 level.
It
is a good idea to take a computer programming course, such as CSE 163, in your
first year. That course will satisfy
part of the Related Courses Requirement. Other electives should be carefully
selected to apply toward the Foundation part of the Miami Plan, your divisional
requirements, and/or to start a base for meeting the remainder of the Related
Courses requirement.
Each
year a number of students qualify for a head start in our programs by having
passed an Advanced Placement Examination of the Educational Testing Service in
calculus or statistics. The
following table gives details:
|
Exam |
Score |
AP Credit |
Starting Course |
|
|
Statistics |
3, 4 or 5 |
STA 261 |
STA 363 (Statistical Methods Minor) or STA
401 (after completing the Calc II prerequisite) |
|
|
Calculus AB |
3 |
MTH 151 |
MTH 249 (or drop back to MTH 153, see Note 2) |
|
|
Calculus AB |
4 or 5 |
MTH 151 |
MTH 249 or 249.H |
|
|
Calculus BC |
3 |
MTH 151, 251 |
MTH 252 (or drop back to MTH 249, see Note 3) |
|
|
Calculus BC |
4 or 5 |
MTH 151, 251 |
MTH 252 or 222.T/331.T (See Note 5) |
Notes
on Fall Offerings
Notes
on MTH 231, 331, 347, and STA 301
The
Mathematics and Statistics Departments offer a Bachelor of Arts (A.B.) degree
and three distinct Bachelor of Science degrees. The A.B. requires all sections of the College of Arts &
Science (CAS) Requirement; B.S. degrees require only the foreign language
section CAS-A. (In practice, students
often satisfy much of CAS as they complete the Miami Plan Foundation.) All programs require:
A.
If you design your own program, it must be approved by three faculty members.
B.
If your program is one of those described below, then approval is automatic.
BACHELOR
OF ARTS—MATHEMATICS MAJOR
This
program requires at least 19 semester hours in MTH or STA courses numbered 300 or above with at least 16
hours at the 400 level and must include:
*A
course selected from one of lines a-c:
a)
MTH 421 - Introduction to Abstract Algebra (4)
b)
MTH 441 - Real Analysis (3), or MTH 451 - Introduction to Complex Variables (4)
c)
MTH 491 - Introduction to Topology (3)
*A
course selected from one of lines d-h:
d)
MTH 432 - Optimization (3)
e)
MTH 437 - Game Theory (3), or MTH 438 - Theory and Application of Graphs (3),
or MTH 439 - Combinatorics (3), or MTH 436 - Combinatorial Designs and Coding Theory (3)
f)
MTH 447 - Topics in Mathematical Finance (3)
g)
MTH 453 - Numerical Analysis (3)
h)
STA 401 - Probability (3)
*
A course selected from a line different from the previous two.
Additional
courses that count in the 19 advanced hour requirement are those in the above
lists together with MTH 331, 347, 410, 411, 413, 420, 422, 425 (MPC), 435
(MPC), 440, 442, 454, 470, 483, 486, 492; STA 462, 463, 466, 467, 483, 484.
Students
in the B.S. Education Integrated Mathematics program who complete MTH 408, MTH
409, and MTH 482 may count 3 hours toward the 400 level hours required for the
A.B.
BACHELOR
OF SCIENCE---MATHEMATICS MAJOR
This
program requires at least 28 semester hours of MTH/STA courses at the 300 level
or above, with at least 22 hours at the 400 level.
Theory
Courses (13-14 hours):
* MTH
421 - Introduction to Abstract Algebra (4)
* MTH
441 - Real Analysis (3)
* At
least two of:
MTH
411 - Foundations of Geometry (3)
MTH
422 - Linear Algebra and Fields (4)
MTH
438 - Theory and Application of Graphs (3)
MTH
442 - Real Analysis (3)
MTH
451 - Introduction to Complex Variables (4)
MTH
483 - Formal Systems and Mathematical Logic (3)
MTH
486 - Introduction to Set Theory (3)
MTH
491 - Introduction to Topology (3)
Applications
Courses (6 hours):
At
least two of:
MTH
347 - Differential Equations (3)
MTH
432 - Optimization (3)
MTH
436 - Combinatorial Designs and Coding Theory (3)
MTH
437 - Game Theory and Related Topics (3)
MTH
439 - Combinatorics (3)
MTH
447 - Topics in Mathematical Finance (3)
MTH
453 - Numerical Analysis (3)
Elective
Courses (8-9 hours):
Additional
courses to complete the 28 hours may be chosen from the lists above or from MTH
331, 410, 413, 420, 425 (MPC), 435 (MPC), 440, 454, 470, 482 (MPC), 492; STA
401, 462. At most 2 of the 28
hours may be from 430 or Independent Studies.
BACHELOR
OF SCIENCE---STATISTICS MAJOR (Department of Statistics)
This
program requires at least 29 semester hours of STA courses at the 300 level or
above.
All
of these:
STA
301 - Applied Statistics (3)
STA
401 - Probability (3)
STA
402 - Statistical Programming (3)
STA
462 - Inferential Statistics (3)
STA
463 - Regression Analysis (4)
STA
466 - Experimental Design Methods (4)
At
least three of these:
STA
333 - Nonparametric Statistics (3)
STA
365 - Statistical Quality Control (3)
STA
432 - Survey Sampling in Business (3)
STA
467 - Multivariate Analysis (3)
STA
475 - Data Analysis Practicum (MPC) (3)
STA
483 - Analysis of Forecasting Systems (3)
STA
484 - Analysis of Categorical Data (3)
Notes: Students with previous credit for STA
261 may not take STA 301 and must take additional hours from the electives list
to complete the 29 required hours.
BACHELOR
OF SCIENCE---MATHEMATICS AND STATISTICS MAJOR
This
program requires at least 31 semester hours of MTH/STA courses at the 300 level
or above, with at least 22 hours at the 400 level.
Mathematics
Courses
All
of these:
MTH
347 - Differential Equations (3)
MTH
421 - Introduction to Abstract Algebra (4)
MTH
441 - Real Analysis (3) or MTH 451 - Introduction to Complex Variables (4)
At
least one of these:
MTH
432 - Optimization (3)
MTH
436 - Combinatorial Designs and Coding Theory (3)
MTH
437 - Game Theory and Related Topics (3)
MTH
438 - Theory and Application of Graphs
MTH
439 - Combinatorics
MTH
447 - Topics in Mathematical Finance (3)
MTH
453 - Numerical Analysis (3)
Statistics
courses
All
of these:
STA
301 - Applied Statistics (3)
STA
401 - Probability (3)
STA
463 - Regression Analysis (4)
At
least one of these:
STA
462 - Inferential Statistics (3)
STA
466 - Experimental Design Methods (4)
Electives:
Additional
hours to complete the 31 required hours from lists above or from MTH 331, 410,
411, 413, 420, 422, 425 (MPC), 435 (MPC), 440, 442, 454, 470, 482 (MPC), 483,
486, 491, 492; STA 402, 467, 475 (MPC), 483, 484. At most two of the 31 hours may be from MTH 430 or
Independent Studies.
Note: Students with previous credit for STA
261 may not take STA 301 and must take
additional hours from the electives list to complete the 31 required
hours.
Most
students who want to become secondary school mathematics teachers obtain
teacher licensure by earning the B.S. in Integrated Mathematics Education
(BS/ED) from the School of Education and Allied Professions. This degree leads
to a license to teach mathematics in grades 7-12. See the School of Education
section in the Miami Bulletin for details. Some teacher licensure candidates complete two degrees, the
BS/ED as well as an A.B. or B.S. degree in mathematics and statistics from the
College of Arts and Science. With early and careful planning, it is
possible to complete these two degrees in four to four and a half years. The
notes below are intended to aid in this planning effort, and they should be
supplemented with advising sessions.
Students who intend to earn both degrees must remember that all
requirements for each degree must be satisfied.
Students
who wish to combine teacher licensure with an A.B. or B.S. degree in
mathematics and statistics should apply for admission to a licensure cohort as
outlined in the School of Education and Allied Professions section of the
Bulletin. The cohort is the group of people who take their two-semester
sequence of instructional procedures (methodology) coursework together, usually
in their junior year. Cohorts are
selected annually and are selected a year in advance. Missing the cohort application deadline in your first year
might necessitate additional time, or summer school, to complete your two
degrees. Check with the Department
of Teacher Education to learn the current year's application deadline.
To
earn an A.B. degree in addition to teacher licensure, you must complete the
requirements for the Bachelor of Arts degree as stated earlier, while also
satisfying your professional education course requirements. As a consequence,
the following courses (not all of which apply toward the A.B.) are
automatically required to be in your academic program:
MTH
331 - Discrete Mathematics (3)
MTH
408 - Mathematical Problem Solving With Technology (3)
MTH
409 - Secondary Mathematics from an Advanced Perspective (3)
MTH
411 - Foundations of Geometry (3)
MTH
421 - Introduction to Abstract Algebra (4)
MTH
482 - Great Theorems of Mathematics (3)
STA
301 - Applied Statistics (3)
STA
401 - Probability (3)
One
additional course is required for completion of the A.B. degree. See the A.B.
degree requirements for details about the selection of this course.
To
earn a B.S. degree in addition to teacher licensure, you must complete the same
list of seven courses as well as satisfy the requirements for the B.S. in
Mathematics or the B.S. in Mathematics and Statistics. Either of these programs
requires four or five additional courses. See the B.S. requirements for details
about the selection of these courses.
A
first year student who is considering teacher licensure should take the
following introductory course during his/her first year:
EDT
190.A Introduction to
Secondary Teaching
Two
of the required courses for licensure will also count in the Miami Plan:
EDP
201 Human Development and
Learning (Miami Plan – Social Science)
EDL
204 Sociocultural Studies in
Education (Miami Plan – Humanities)
Completion
of two majors will satisfy the thematic sequence requirement of the Miami Plan.
A
student who wishes to learn more about the requirements for teacher licensure
should contact the Office of Student Services in the School of Education and
Allied Professions, McGuffey Hall (513-529-6418) to obtain a complete packet of
information for Integrated Mathematics Education. The Departments of Mathematics, Statistics, and Teacher
Education work together to help meet the advising needs of their majors. A double major will have an adviser in
each major.
1.
Mathematics and Statistics majors who plan to seek jobs in business and
industry should be aware that such employers often look favorably upon related
courses in systems analysis, natural science, economics, accounting, and
finance. Statistics and other
applied mathematics courses are also recommended. Computer literacy is highly desirable if not
indispensable. It is often
acquired independently of formal course work and includes such things as word
processing and spreadsheets. See
also the section on Related Courses.
2.
MTH 421 and 441 should not be taken at the same time unless your adviser grants
special permission.
3.
Students preparing to pursue graduate work in mathematics are advised to
complete the following sequences:
MTH 421, 422 and MTH 441, 442.
4.
A student planning further study in statistics should minimally complete STA
301, 401, and 463. MTH 441 is also desirable for students preparing to pursue
graduate work in statistics.
5.
It is a general policy that a student who has done advanced work in Mathematics
and Statistics cannot enroll for credit in lower level courses with similar
subject material. In particular,
students with experience in 400 level mathematics courses such as 421, 441, or
438 will not generally be permitted to enroll in MTH 331.
Exceptions
require the prior approval of the CDA.
A
program of related courses is intended to provide you with opportunities to see
and do mathematics or statistics in the context of other disciplines and,
perhaps, enhance your employment prospects. The Related Courses requirement is for a program of at least
15 hours. Students in the AB Math
major or the BS Math major may use statistics as their related area. There is
no restriction on the statistics courses that can count (service courses are
ok), but courses applied to the related area cannot also be counted towards
the requirements of the major. On the other
hand, students in the BS Math and Stat cannot use statistics as their related
area.
Each
program includes two parts, as follows.
Part
I: Computer Programming Requirement
Every
major in the Departments of Mathematics and Statistics is required to
demonstrate computer programming proficiency by passing an approved
course. Approved courses include:
CSE 153 Introduction to C/C++ Programming
(3)
CSE 163 Introduction to Computer Concepts
and Programming (3)
CSE 174 Fundamentals of Programming and
Problem Solving (3)
or
any CSA course with one of these courses as a prerequisite. Other courses can be used in some
cases, including
MTH
408 Mathematical Problem Solving with Technology (3) (Only for students who
have been admitted to an AYA teacher licensure cohort.)
PHY
286 Introduction to Computational Physics (3)
(Only for students who are also majoring in Physics.)
Part
II. Related Area Requirement.
Every
major in the Departments of Mathematics and Statistics is required to include
in their program a cluster of courses in one area of study in which mathematics
or statistics is used. Minimally
(but see the Related Area Reduction
below), the area is to consist of at least 12 credit hours, with at least 6 of
the hours numbered 300 or higher (200 or higher in Chemistry, Physics, Engineering,
or Computer Science and Software Engineering).
If
your interests are not accommodated by the pre-approved programs listed below,
you may elect to design your own program of related courses. Such programs must be approved by one
of the Chief Departmental Advisers in advance of applying for graduation.
Pre-Approved
Related Areas:
The
following pre-approved programs include a Miami Plan Thematic Sequence. (Thematic
Sequence course numbers are underlined. See the Miami Bulletin for fuller descriptions of the sequences
and courses).
Related
Area Reduction: Some students may want to have the flexibility to include in
their program an additional elective course in mathematics or statistics. To that end, the cluster of related
courses required can be reduced by up to 3 hours (of the 6 advanced hours) by
taking the same number of hours in MTH or STA (numbered 400 or higher and not a
service course). This decision
should be made in consultation with your adviser or one of the CDAs.
This
minor is designed for students who are preparing for a possible career as an
actuary. The extensive
prerequisites for the minor reflect the fact that most students in this program
will have a major in mathematics and statistics. Courses in the minor may also be used to satisfy requirements
of a major. (See Note 6 below, however.)
REQUIREMENTS
1.
At least a 2.0 GPA in all coursework to be applied to
the minor. Courses taken on
a credit/no credit basis do not
apply.
2.
Completion of multivariable calculus, linear algebra, and
introductory statistics.
3.
All of these:
STA
401 Probability (3)
STA
463 Regression Analysis (4)
STA
483 Analysis of Forecasting Systems (3)
4.
All of these:
ACC
221 Introduction to Financial Accounting (3)
ACC
222 Introduction to Managerial Accounting (3)
ECO
201 Principles of Microeconomics (3)
ECO
202 Principles of Macroeconomics (3)
FIN
301 Introduction to Business Finance (3)
Notes
The
Minor in Mathematics is designed to provide students who are not mathematics,
mathematics and statistics, or integrated mathematics education majors with an
increased understanding of, and competence in, mathematics. Building on a base of calculus and
linear algebra (already required for various majors), the program leads
students through a theoretical course [from group 4 (a)], an applications
oriented course [from group 4(b)], and at least one additional elective course
in advanced mathematics. At least a 2.0 GPA in the collection of courses to be
applied to the minor is required. Courses taken on a credit/no credit
basis do not apply.
REQUIREMENTS
1. One
of MTH 249, 249H, or 251.
2. One
of MTH 252 or 252H.
3. One
of MTH 222 or 222T.
4. Completion
of at least 10 advanced hours in courses at the 300 level or above, including
a) At
least one of MTH 411, 421, 441 or 451
b) At
least one of MTH 347, 432, 436, 437, 438, 439, 447 or 453
c) At
least 6 hours of MTH courses at the 400 level
At
most one hour from MTH 430 or MTH 477 and at most three hours from PHY 341 may
be counted toward the 10 advanced hours requirement. MTH 330 and MTH 406 may not be included. Students who have taken MTH 245 as a
requirement for a major may count one hour of 245 toward the 10 hour requirement—and
for you, 245 substitutes for 347 in the list of "applications"
courses. See also Note 5 below.
Notes
1. Students should apply for this minor on the change-of-major form by contacting the Chief Departmental adviser for Mathematics. Students seeking information about this minor are encouraged to see the CDA or any faculty member in the Department of Mathematics.
Operations
Research is the use of scientific methods in decision-making. It seeks to observe, understand, and
predict the behavior of human-machine systems through the use of mathematical
models. Techniques of operations
research are designed to cope with problems of practical significance, which
are often characterized by complicated and uncertain environments. These techniques have contributed to
the solution of problems of choice, policy, and planning that have arisen in
military, governmental, industrial, environmental, and social contexts. This minor should be considered by
students who are attracted to the use of mathematics, statistics and computing
in solving decision-making problems of practical significance.
This
minor is available to all majors.
The CSE 3 Thematic Sequence (Mathematical and Computer Modeling) is
included in this program. Majors
in CSE typically satisfy the MTH 2 Thematic Sequence (Basic Mathematical Tools
for Science).
REQUIREMENTS
I. The completion of at least 18 hours as specified
below.
II. At
least a 2.0 GPA in course work applicable to the program.
Courses
taken on a credit/no credit basis do not apply.
III. The completion of a proposed plan of study which
must be approved in one of the following two ways: either
A. by
your adviser and the Applied Mathematics-Operations Research Committee if you
design your own program; or
B. simply
by your adviser if it includes:
1.
All four of these:
CSE
273 - Optimization Modeling (3)
CSE
372 - Stochastic Modeling (3)
CSE
471 - Simulation (3)
STA
463 - Regression Analysis (3)
2.
At least one of these*:
MTH
432 - Optimization (3)
MTH
438 - Theory and Application of Graphs (3)
MTH
453 - Numerical Analysis (3)
3.
A second course chosen from those in 2 above, or one of the following*:
STA
483 - Analysis of Forecasting Systems (3)
MTH
435 - Modeling Capstone (3)
MTH
437 - Game Theory (3)
MTH
439 - Combinatorics (3)
MTH
447 - Topics in Mathematical Finance (3)
NOTES
Statistical
methods are increasingly in use in decision-making and data analysis in
business and industry. Moreover,
much basic research in the biological, management, and social sciences, as well
as in some areas of the humanities, is also increasingly statistical in nature. As a result, demand for persons
knowledgeable in the science of statistics is on the rise. The Minor in Statistics and the Minor
in Statistical Methods provide programs in statistics suitable for a broad
spectrum of student interests, but are not available to students earning a B.S.
degree in statistics or mathematics and statistics.
The
Minor in Statistics provides a program in statistics suitable for students with
strong mathematical abilities. The
Minor in Statistical Methods builds on the methods of estimation and hypothesis
testing studied in the introductory statistics course. It includes additional study of the
statistical methods involved in regression analysis and experimental design as
well as options for study of nonparametric, quality control, and/or sampling
methods.
REQUIREMENTS
To
complete these minors you must earn at least 18 semester hours with at least a
2.0 GPA.
Courses
taken on a credit/no credit basis do not apply towards these minors.
I. The Minor in
Statistics requires:
1. All of these:
Calculus
II
STA
301, 401, 463 and 466
2. One of these:
STA
333, 365, 402, 432, 462, 467, 475 (MPC), 483 or 484
II. The
Minor in Statistical Methods requires:
1. All of these:
MTH
151, 153 or 249
STA
261 or 301 or 368
STA
363
2. Three of these:
STA
333, 365, 432 or 475 (MPC)
NOTES
The
College of Arts and Science supervises departmental honors programs within the
college and allows the Mathematics and Statistics Departments to continue the
successful programs we have operated for many years. In brief, our programs provide more options than the usual
departmental honors program within the college. We consider honors students to be those with a keen
interest and ability in mathematics or statistics regardless of their major or
year at Miami. There need be no
intent to actually graduate with departmental honors. For such a student the
departments offer special honors courses and encourage participation in
intercollegiate competitions and activities. Many students have enjoyed considerable success in these
endeavors and have benefited from the extra competence and confidence developed
through such experiences.
The
departmental Honors Coordinator is responsible for identifying honors students,
inviting them to enroll in the honors program, and encouraging them to take
part in appropriate activities.
The most common bases for these invitations are outstanding performance
in departmental classes or activities and recommendations by departmental
faculty. However, any student who
wants to be considered for membership in our honors program is encouraged to
inquire in the department office.
In
order to graduate with departmental honors, a student must apply to the Honors
Coordinator for departmental honors status (Dr. Pritikin in mathematics or Dr.
Dunn in statistics) and perform at least two of the following three items:
I. Complete an approved sequence of
mathematics and statistics courses, including some course work at the 400
level, with a GPA of at least 3.5 over all math/stat courses. Meeting the
MTH/STA course requirements of one of our math or stat degrees is the usual way
to complete such a sequence.
II. Give a distinguished performance in a
recognized mathematics or statistics activity. The activity could be a
mathematics or statistics competition, or a standardized examination such as a
GRE subject exam, or the writing of a paper resulting from an undergraduate
research project.
III. Make a scholarly presentation about
mathematics or statistics, preferably based on the results of an independent
study or research project.
A
graduating undergraduate applicant in Arts and Science meeting all three of I,
II and III in the judgment of the Honors Coordinator qualifies for departmental
honors in Mathematics and/or Statistics. For a student meeting only two of I,
II and III, it will be up to the Honors Coordinator, in consultation with two
other tenure track faculty in the department, as to whether the student is
awarded departmental honors based on overall strength concerning I, II and III.
Deciding
whether a student meets criteria I, II and/or III is generally a judgment call
on the part of the faculty involved.
Please
note that students who are not majoring in Mathematics and/or Statistics can
meet these requirements and have done so.
Also there is no requirement to enroll in MTH/STA 480 to gain
departmental honors. The Honors
Coordinator maintains a list of regularly accepted ways for meeting these basic
requirements and also advises members of our program about their progress
towards graduation with departmental honors.
GRADUATE
SCHOOL IN MATHEMATICS OR STATISTICS AT MIAMI
Miami's
Mathematics and Statistics Departments offer a Master of Arts and a Master of
Science degree in Mathematics, a Master of Science degree with an option in
Operations Research, a Master of Science degree in Statistics, and a Master of
Arts in Teaching. Graduate
teaching assistantships in all programs are available with a stipend of
approximately $13,500, remission of the instructional fee, and up to $1,800
summer support.
You
should be aware of the departments' five-year Master's degree programs. By carefully planning your program
before or during your sophomore year, you can earn a Bachelor's degree in four
years and a Master's degree in one more year. Normally, two years are required for a Master's degree after
graduation with the A.B. or B.S. However, the masters can be completed in one
year plus 2 full summers. Undergraduates or recent graduates who have completed
almost all of the requirements for certification (except perhaps for student
teaching and a course or two) may be able to complete these requirements and
obtain a Master's degree in two academic years.
Students
interested in graduate study at Miami or elsewhere may wish to consult with
Professor Ward for mathematics programs (529-3534, 285 BAC, wardde@miamioh.edu) or Professor Groggel for
statistics programs (529-6087, 305A UPH, groggedj@miamioh.edu).
CAREER
PLANNING
If
you are interested in the available jobs in mathematics, statistics, and
operations research, see books such as Great Jobs for Math Majors, 101
Careers in Mathematics and
Peterson's Guide to Engineering, Science, and Computer Jobs. Some of these may be available for loan from one of
the Chief Departmental Advisers.
Also, check the information boards in Bachelor Hall and Upham Hall. As a Mathematics or Statistics major, you are in a unique position. After mastering the abstract and
demanding rigor of mathematics and statistics, you are perceived by employers
as someone who is intelligent, can recognize patterns, generalize, and adapt to
ideas and procedures in new areas.
Students
who desire assistance in finding internships and jobs should register with the
Office of Career Services (OCS) in 200 Hoyt Hall or on-line at www.miamioh.edu/careers/. The beginning of the sophomore year is
a good time to start looking for possible internship experiences. This office also provides job-search
assistance for graduate students.
Among
the OCS's more popular services are on-campus interviews with visiting
employers and graduate schools, workshops on career planning and job finding,
individual career counseling, assistance with resume preparation, video-taped
"practice" interviews, credential services, and weekly Employment
Opportunity Bulletins. The OCS also maintains a comprehensive Career Resource
Center which contains material on a wide variety of careers, as well as
employment directories, summer job and internship information, graduate school
guides, and "recruiting literature" from literally hundreds of
employers.
Students
should make every attempt to attend the OCS workshop series, and appointments
for career counseling should be scheduled 2-3 weeks prior to the desired
appointment time.
ACTUARIAL
SCIENCE ... INSURANCE
If
you are interested becoming an actuary, you should consider the Minor in
Actuarial Science. Also,
plan to take the first actuarial exam, which is given two times each year at
Miami. The syllabus of this exam is in the area of probability and statistics. See Professor Groggel, (529-6087, 305A
UPH, groggedj@miamioh.edu) for details.
TUTORING
AND PAPER GRADING
Various
jobs are available in the Department of Mathematics, the Department of
Statistics, and the Office of Learning Assistance. For further information, ask the secretaries in the
department offices 123 BAC or 311 UPH.
MATHEMATICS
AND STATISTICS COLLOQUIA AND CONFERENCES
Every
fall, the Department of Mathematics and the Department of Statistics host a
conference focusing on some topic of interest to the math/stat community. Nationally recognized speakers are
invited, and many talks are also given by other attendees. In addition, there are special sessions
of talks presented by students from Miami and other universities, with no
restriction on the topic. Miami
students are welcome to attend all presentations associated with the
conference.
PROBLEMS
SEMINARS
Problems
Seminars [MTH 330, 430; STA 471] are small informal classes concerned with
challenging, nonroutine problems similar to those found on competitive
exams. Problem solving skills
developed or sharpened in these courses should be helpful in any mathematical
research work, in consulting in business and industry, or in taking competitive
exams. The mathematics courses
change each semester and are open to students at all levels. STA 471 requires completion of, or
concurrent registration in, STA 462.
COMPETITIVE
EXAMS
Each year, the department
enters a team in the Putnam Competition, a challenging national mathematics
examination taken by thousands of college students. See Professor Dan Pritikin (289 BAC, 529-5842) for more
information. In addition we enter
teams in the annual COMAP national mathematical modeling competition. See Professor Doug Ward (285 BAC,
529-3534) for details. Also, on a
local note, the Patterson Examination and the Pi Mu Epsilon Examination are
given each spring for first and second year Miami students. See below.
PI
MU EPSILON
The purpose of Pi Mu Epsilon,
the national mathematics honorary, is the promotion of scholarly activities in
mathematics and statistics and service to the Mathematics and Statistics
Departments. At the monthly
meetings invited speakers present topics of interest to the members, generally
at the undergraduate level, or discuss graduate school, jobs in industry, or
material in new courses. Cash
awards of up to $100 are made each year to sophomores scoring highest on an
examination prepared and graded by the chapter. Members are funded to attend the national convention each
summer. Each fall the chapter
holds a regional student conference at Miami.
Members
of the chapter are undergraduate and graduate
students and faculty. An
undergraduate must have completed Calculus III and either Linear Algebra (MTH
222) or Elements of Discrete Mathematics (MTH 231) or equivalents, have a
cumulative average of at least 3.0 in Mathematics and Statistics, and an
overall GPA of at least 3.0. Initiation dues are $35.00, which includes both
the national and local levels. This
also includes two issues of the national Pi Mu Epsilon Journal. There
are no other dues. Undergraduates
meeting the requirements are invited to join; please contact the department
secretaries for details (529-5818, 123 BAC).
The Department of Mathematics has a Student Advisory Board composed of four students, two undergraduates and two graduate students. Of the two undergraduate members, one is chosen by Pi Mu Epsilon from among students in the College of Arts and Science, and the other is chosen by MUCTM from among students in the School of Education, Health & Society. The two graduate student members are chosen by the graduate students in Mathematics. The Graduate Director will ensure that the selection of the graduate student members takes place by early September, and the faculty advisors of Pi Mu Epsilon and MUCTM will do the same regarding selection of undergraduate students from their respective organizations. One of the two undergraduate members of SAB serves on the Undergraduate Committee, and one of the two graduate student members of SAB serves on the Graduate Committee.
The Department of Statistics has a Student Advisory Board composed of two students, one undergraduate and one graduate student. The undergraduate student is chosen by the department chair and the graduate student is elected by the graduate students in statistics.
In both Mathematics and Statistics, the term of each student is for one year. Reappointment may be made. The members of the Student Advisory Board are invited to attend all department meetings except during the discussion and vote on student awards and faculty leaves. When in attendance they have full voting privileges except on personnel decisions.
THE
AWARDS NIGHT BANQUET
One
night each April the faculty and students in Mathematics and Statistics gather for an Awards Banquet. Faculty contributions make it possible
to reduce the studentsŐ dinner costs.
Afterwards, the cash prizes and scholarships listed below are
awarded. There are also book and
journal awards and accolades for all who have been recognized by the faculty.
OSMOND
BARTON PRIZE in Mathematics to an
outstanding senior in mathematics, to honor Osmond Barton; by Luella Fouch,
Class of 1910.
MCFARLAND
PRIZE in Mathematics to an outstanding
senior in mathematics, in memory of Professor McFarland; by the Honorable James
R. Patterson, Class of 1858.
ALUMNI
SENIOR PRIZE to an outstanding senior
in Mathematics and Statistics.
H.C.
CHRISTOFFERSON MATHEMATICS EDUCATION AWARDS to outstanding seniors who plan to teach in secondary school.
BYRON SMITH AWARD to an outstanding undergraduate student majoring in mathematics. The award was established in 1999 by Mr. Byron Smith III (Class of 1970).
CORWIN
SMITH PRIZES in Mathematics to outstanding
juniors in Mathematics; in memory of Mr. Corwin Smith, Class of 1919, by
Hinckley Smith, Class of 1891.
MARY
JEANETTE AND CLIFFORD HARVEY SCHOLARHIPS. Clifford Harvey was a
faculty member in our department for many years. The scholarship is for the student's next academic year at
the start of which a recipient must have senior standing. This scholarship is awarded to one or
more students majoring in Mathematics and Statistics or in Mathematics Education,
who have a grade point average of at least 3.5 overall and in MTH/STA courses.
THE
KENNETH LAST SCHOLARSHIPS. Kenneth Last, class of '53, received a B.S. in
Mathematics from Miami University.
He worked for many years at Lockheed, an aerospace corporation in
California. The scholarship is for
the student's next academic year, at the start of which a recipient must have
junior or senior standing. It is
awarded to one or more students who are majoring in the Departments of
Mathematics and/or Statistics and who have a grade point average of at least
3.5 overall and in MTH/STA courses.
J.
PAUL & JOHN P. ALBERT SCHOLARSHIPS. J. Paul Albert was a
faculty member in our department from 1923 until 1962. The scholarship is in memory of his
many contributions to our department, and also in memory of his son, John Paul
Albert Jr., Miami class of 1948.
This scholarship is awarded to one or more sophomore majors in
Mathematics, Statistics or Mathematics Education for the junior year. Recipients must have earned at least 45
semester hours at Miami, have been a full-time college student for no more than
two years, and have an overall GPA of at least 3.7. The award winner(s) is/are
selected from Miami University scholarship applicants by the Chief Departmental
Adviser of the Department of Mathematics and the departmental Awards Committee
based upon information provided by the Office of Student Financial Assistance
as well as that from Mathematics and Statistics faculty.
PI
MU EPSILON AWARDS in Mathematics to
sophomores chosen by a written examination prepared and graded in March by the
students of Miami's Ohio Delta Chapter.
KOEHLER
PRIZES in Mathematics, in memory of
Donald Otto Koehler, department member from 1968 until 1983, are awarded to
outstanding first- and/or second-year students who have been nominated by their
MTH 222 or MTH 331 instructors.
The prize consists of a journal subscription and a small cash award.
PATTERSON
PRIZES in Mathematics to first-year
students chosen by a written examination given in March on material through
second semester calculus.
FACULTY
PRIZE in Mathematics and Statistics to
an outstanding student in any class.
This award is funded by department faculty contributions and need not be
given each year.
ZOLTAN
BALOGH MEMORIAL AWARD in Mathematics.
Zoltan "Zoli" Balogh came to Miami University in 1988-89 as the
Distinguished Visiting Professor in Mathematics and Statistics. He accepted a
permanent position with the department in the fall of 1990. Already a
world-class researcher in set-theoretic topology, he continued to solve famous
problems in the area until his death in the summer of 2002. In these fourteen years, he also
established himself as an excellent teacher and an active supporter of student
projects and activities. In recognition of his work with students, a memorial fund
has been established to provide a yearly prize to students who have
distinguished themselves, not only by excellent course work but also by going
beyond the usual requirements for the degree.