Mathematics
(MTH) (STA)
For information, please contact
Sidney Graham, Chairperson,
774-3596, 214 Pearce Hall
FAX (989)774-2414,
E-mail: Math@cmich.edu,
Department
Website
Why Study Mathematics?
Mathematics at CMU
Mathematics Major - B.S., B.A.
Mathematics Major -
B.S. in Ed., Secondary
Mathematics Major -
B.S. in Ed., Elementary
Statistics Major
Actuarial Science Major
Computer
Science-Mathematics Major
Mathematics Minor -B.S. in
Ed., Secondary
Mathematics Minor - B.S. in
Ed., Elementary
Mathematics Minor - B.S. in
B.A.
Statistics Minor
Mathematics Minor - B.A.,
B.S.
The Faculty
MTH Course
Descriptions
STA
Course Descriptions
Why Study Mathematics?
Mathematics is an area of learning which is not only
immensely interesting, but also of great importance to
industry, government, and education. The impact of new
developments in mathematics is permeating all of society.
The language of probability appears daily in the newspapers.
The role of the computer and its effect upon society
receives almost daily attention throughout all communication
media. In addition to the physical sciences and engineering,
the social sciences, biological sciences, business and
industry now employ the methods of the mathematician, as
well as the most powerful mathematical techniques available,
to press on in the search for knowledge concerning our
environment and ourselves.
Mathematics at CMU
The Department of Mathematics provides a variety of
programs. Depending on preference, a student may prepare for
graduate work in mathematics; study to become an applied
mathematician, actuary, statistician or computer scientist;
prepare to become a teacher of mathematics; or earn a
general liberal arts undergraduate degree with a major in
mathematics. Many minor programs in mathematics also are
available for a student needing a concentration in
mathematics to support his/her major. In addition, service
courses are provided for programs throughout the university.
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Majors
Mathematics
Major
B.A.
or B.S. degree
1.
One of the following two sequences is required (10-11 hours)
MTH 132 (4) Calculus I
MTH 133 (4) Calculus II
MTH 223 (3) Linear Algebra and Matrix Theory OR
MTH 136 (5) Calculus I for Engineers and Scientists
MTH 137 (5) Calculus II for Engineers and Scientists
2.
Other Required Courses (16 hours)
MTH 233 (4) Calculus III
MTH 332 (3) Introduction to Analysis
MTH 523 (3) Modern Algebra I
Either MTH 532 (3) Advanced Calculus I OR
MTH 545 (3) Introduction to Point-Set Topology
MTH 499 (3) Capstone Course in Mathematics
3.
Electives from MTH, STA, or CPS (9 or more hours):
Nine or more hours of electives are to be selected from MTH,
STA, or CPS in consultation with and approved by a
mathematics advisor and must be numbered MTH 296 or higher,
STA 382 or higher, or CPS 181 or higher. See notes on double
counting below.
MTH 175 (3) Discrete Mathematics may be included as an
elective. If MTH 175 is included, then at least 33 hours of
the total hours must be in mathematics or statistics.
Total:
35 - 36 semester hours
NOTE:
The total is 35 hours if the MTH 136, MTH 137 sequence is
substituted for the MTH 132, MTH 133, MTH 223 sequence;
otherwise the total is 36 hours.
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Mathematics
Major
B.S.
in Ed. degree, Secondary and Secondary Special Education
Emphases
A
minimum 2.7 GPA (B-) must be earned in all teaching
majors.
1. Required Courses:
MTH 132 (4) Calculus I
MTH 133 (4) Calculus II
MTH 175 (3) Discrete Mathematics OR
MTH 375 (3) Discrete Structures
MTH 223 (3) Linear Algebra and Matrix Theory
MTH 332 (3) Introduction to Analysis
MTH 341 (3) College Geometry
MTH 361 (1) Field Experience in Teaching Mathematics
MTH 461 (4) Teaching of Secondary School Mathematics
MTH 523 (3) Modern Algebra I
MTH 566 (3) Microcomputers for Secondary School
Mathematics Teachers
STA 382 (3) Elementary Statistical Analysis
(MTH 136 may be substituted for MTH 132 and MTH 137 may
be substituted for MTH 133 and MTH 223.)
2.
A minimum of two additional courses is required. At least
one of these must be numbered 500 or above. These
courses are to be selected from the following list:
MTH 233 (4) Calculus III
MTH 334 (3) Differential Equations
MTH 375 (3) Discrete Structures
MTH 499 (3) Capstone Course in Mathematics
MTH 521 (3) Theory of Numbers
MTH 532 (3) Advanced Calculus I
MTH 545 (3) Introduction to Point-Set Topology
MTH 570 (3) Mathematical Logic
MTH 573 (3) History of Mathematics
MTH 578 (3) Applied Combinatorics
STA 580 (3) Applied Statistical Methods
Electives
are to be selected from MTH or STA in consultation with and
approved by a mathematics advisor.
Total:
39 or 40 semester hours
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Mathematics Major
B.S.
in Ed. degree, Elementary Emphasis
A
minimum 2.7 GPA (B-) must be earned in all teaching
majors.
1.
Required Courses:
MTH 132 (4) Calculus I (MTH 136 may be substituted)
MTH 151 (3) Mathematics for Elementary Teachers I
MTH 152 (3) Mathematics for Elementary Teachers II
MTH 251 (3) Geometry for Elementary Teachers
MTH 253 (2) History of Elementary Mathematics
MTH 551 (3) Number Systems for Elementary Teachers
MTH 554 (3) Probability and Statistics for Elementary and
Middle School Teachers
MTH 556 (3) Microcomputers for Elementary Mathematics Teachers
2.
Electives are to be selected from MTH or STA in
consultation with and approval by a mathematics advisor.
Total:
33 semester hours
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Statistics Major
B.A.
or B.S. degree
1.
Required Courses: (33 hours)
MTH 132 (4) Calculus I
MTH 133 (4) Calculus II
MTH 223 (3) Linear Algebra and Matrix Theory
MTH 233 (4) Calculus III
STA 382 (3) Elementary Statistical Analysis
STA 575 (3) Introduction to Statistical Packages
STA 580 (3) Applied Statistical Methods I
STA 584 (3) Mathematical Statistics I
STA 585 (3) Mathematical Statistics II
STA 590 (3) Applied Statistical Methods II
2.
Two from the following: (6 hours)
STA 582 (3) Experimental Designs
STA 583 (3) Nonparametric Statistics
STA 586 (3) Clinical Trials and Survival Analysis
STA 587 (3) Statistical Theory and Methods for Quality
Improvement
STA 588 (3) Sampling Techniques
STA 589 (3) Time Series Forecasting
STA 591 (3) Statistical Methods for Data Mining
3. Cognate Area (6 hours) from either (A) mathematics
track or (B) an application track in the discipline other
than MTH or STA in which statistics has natural
applications.
(A)
Mathematics Track:
(Recommended for students who plan to do graduate study)
MTH 332 (3) Introduction to Analysis
MTH 532 (3) Advanced Calculus I
(B) Application Track: Select six credit hours
from the courses in which statistics has natural
applications from a discipline other than MTH or STA.
These course may not be double counted as general education
courses nor courses required by the minor which a student is
taking. The track and courses must be approved by an
advisor in the Department of Mathematics.
Total
Credit Hours: 45 semester hours
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Actuarial Science Major
This major is for students who wish to pursue a career in
actuarial science. Requirements for the major are given in
the Interdepartmental and Interdisciplinary Majors and
Minors section.
Computer
Science-Mathematics Major
This major is for students who have an interest in both
mathematics and computer science. Requirements for the major
are given in the Interdepartmental and Interdisciplinary
Majors and Minors section.
Minors
Mathematics Minor
B.S.
in Ed. degree, Secondary and Secondary Special Education
Emphases
A
minimum 2.7 GPA (B-) must be earned in all teaching
minors.
1.
Required Courses:
MTH 132 (4) Calculus I
MTH 175 (3) Discrete Mathematics
MTH 223 (3) Linear Algebra and Matrix Theory
MTH 341 (3) College Geometry
MTH 461 (4) Teaching of Secondary School Mathematics
(MTH 136 may be substituted for MTH 132 and MTH 137 may be
substituted for MTH 223.)
2.
A minimum of seven additional hours are to be selected from
the following list in consultation with and approved by a
mathematics advisor.
MTH 133 (4) Calculus II
MTH 233 (4) Calculus III
MTH 278 (3) Mathematical Models
MTH 332 (3) Introduction to Analysis
MTH 566 (3) Microcomputers for Secondary Mathematics
Teachers
MTH 573 (3) History of Mathematics
STA 382 (3) Elementary Statistical Analysis
CPS 180 (3) Principles of Computer Programming
Total:
24 semester hours
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Mathematics Minor
B.S.
in Ed. degree, Elementary and Elementary Special Education
Emphases
A
minimum 2.7 GPA (B-) must be earned in all teaching
minors
1.
Required Courses:
MTH 107 (3) College Algebra
MTH 151 (3) Mathematics for Elementary Teachers I
MTH 152 (3) Mathematics for Elementary Teachers II
MTH 251 (3) Geometry for Elementary Teachers
MTH 551 (3) Number Systems for Elementary Teachers
MTH 554 (3) Probability and Statistics for Elementary and
Middle School Teachers
MTH 556 (3) Microcomputers for Elementary Mathematics
Teachers
2.
Electives are to be selected from MTH or STA in
consultation with and approval by a mathematics advisor.
Total:
26 semester hours
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Mathematics
Minor
B.S.
in B.A. degree
At
least 17 hours must be taken in the mathematics department.
1. Required Courses:
MTH 132 (4) Calculus I
(MTH 136 may be substituted)
MTH 278 (3) Mathematical Models
STA 382 (3) Elementary Statistical Analysis
2. Electives may be chosen from the following: MTH
116, MTH 133, MTH 223 (MTH 137 may be substituted for MTH
133 and 223), MTH 233, MTH 375, MTH 520, MTH 578, MTH 586,
MTH 587; CPS 181; STA 580. Electives are to be selected from
MTH, STA, or CPS in consultation with and approval by a
mathematics advisor.
Total:
20 semester hours
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Statistics Minor
B.A.,
B.A.A., B.S.,
B.S. in B.A. degrees
1.
Required Courses:
MTH 132 (4) Calculus I
STA 382 (3) Elementary Statistical Analysis
STA 575 (3) Introduction to Statistical Packages
STA 580 (3) Applied Statistical Methods I
2.
Electives (9 hours) Choose three courses from the
following:
STA 582 (3) Experimental Design
STA 583 (3) Nonparametric Statistics
STA 586 (3) Clinical Trials and Survival Analysis
STA 587 (3) Statistical Theory and Methods for Quality
Improvement
STA 588 (3) Sampling Techniques
STA 589 (3) Time Series Forecasting
STA 591 (3) Statistical Methods for Data Mining
A substitution of any course must be approved by an advisor
in the Department of Mathematics prior to taking the
course. See note on double counting below.
Total:
22 semester hours
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Mathematics Minor
B.A.
or B.S. degree
Requirements:
1. The following courses are required:
MTH 132 (4) Calculus I
MTH 133 (4) Calculus II
MTH 223 (3) Linear Algebra and Matrix Theory
(MTH 136 may be substituted for MTH 132 and MTH 137 may be
substituted for MTH 133 and 223.)
2. At
least 17 hours must be in mathematics or statistics other
than MTH 175.
3.
MTH 175 (3) Discrete Mathematics, may be included, but
remaining hours in MTH or STA must be numbered higher than
MTH 223.
5. A
CPS course must be numbered CPS 150 or higher to be counted.
6.
Electives in MTH, STA, or CPS must be chosen in consultation
with and approved by a mathematics advisor.
Total:
20 semester hours
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Notes on Double Counting
Note to students with Mathematics major and Statistics minor
or Statistics major and Mathematics minor: these
combinations are permitted only if another major or minor is
also obtained.
Note to students with Actuarial Science major and
Mathematics major or Mathematics minor: for this
combination, student must take 6 hours of MTH courses
numbered 300 or above which are not counted toward the
Actuarial Science major.
Note to students with Mathematics major and Statistics
major: on the second major, at least 9 hours at the 300
level or above must not be counted on the first major. Also,
student must have an outside major or minor.
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The faculty: James Angelos,
Ahmed Assaf, Esther Beneish, Robert A. Chaffer, Mitzi
Chaffer, Robert L. DeBruin, Lisa DeMeyer, Donna Ericksen, Felix
Famoye, Richard J. Fleming, Martha Frank, Sidney
Graham, George Grossman, Arnold D. Hammel, Yury lonin, Carol
Lanfear, Douglas A. Lapp, Carl Moun-Shen Lee, Susan Lenker,
Terry D. Lenker, Azita Manochehri, David G. McDowell, Thomas
J. Miles, Sivaram K. Narayan, Sing-Cheong Ong, Leela Rakesh,
Richard St. Andre, Dennis St. John, Jungsywan Sepanski,
Mohan S. Shrikhande, Ken W. Smith, Linda Smoke, Peter
Vermeire, Charles
Vonder Embse, Daniel X. Wang.
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