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Department of Mathematics

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of Physics

Undergraduate Programs of Study

Mathematics (MTH) (STA)

For information, please contact 
Sidney Graham, Chairperson, 774-3596, 214 Pearce Hall
FAX (989)774-2414, 
E-mail: Math@cmich.edu, 

College of Science and Technology Website
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 and statistics 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.
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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 Provisional Certification or Secondary Provisional Certification with Emotional or Cognitive Impairment Endorsement

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 Provisional Certification

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.

1. Mathematics Track:
   (Recommended for students who plan to do graduate study)
   MTH 332 (3) Introduction to Analysis
   MTH 532 (3) Advanced Calculus I
    
2. 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.
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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.
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Minors

Mathematics Minor
B.S. in Ed. degree, Secondary Provisional Certification or Secondary Provisional Certification with Emotional or Cognitive Impairment Endorsement

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 Provisional Certification or Elementary Provisional Certification with Emotional or Cognitive Impairment Endorsement

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.
    
4. A CPS course must be numbered CPS 150 or higher to be counted.
    
5. 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 or STA courses numbered 300 or above which are not counted toward the Actuarial Science major.

• Note to students with Mathematics major and Statistics major with Mathematics track: on the Mathematics major, at least 9 hours at the 300 level or above must not be counted on the Statistics major. Also, student must have an outside major or minor.

• Note to students with Statistics major with Application track: Student must have a minor in an area other than Mathematics or another major.
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The faculty.  James Angelos, Ahmed Assaf, Esther Beneish, Robert A. Chaffer, Mitzi Chaffer, John Daniels, Lisa DeMeyer, Ana Dias, Donna Ericksen, Felix Famoye, Richard J. Fleming, Martha Frank, Sidney Graham, George Grossman, Arnold D. Hammel, Yury Ionin, Carol Lanfear, Douglas A. Lapp, Carl Moun-Shen Lee, Susan Lenker, Terry D. Lenker, Azita Manouchehri, David G. McDowell, Thomas J. Miles, Sivaram K. Narayan, Sing-Cheong Ong, Leela Rakesh, David Renfro, 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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