Programs

Degree and Major Requirements

Concentration

Minor Requirements

Credit by Examination


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Department of Mathematics and Statistics
Roop Hall, Room 305
(540) 568-6184
http://www.jmu.edu/mathstat/


Department Head
Dr. David C. Carothers

Professors
D. Carothers, R. Domangue,
C. Droms, S. Garren, J. Hanson,
P. Kohn, R. Lee, J. Liu, C. Lubert,
J. Marafino, G. Parker, G. Peterson,
D. Pruett, J. Sochacki, L. Van Wyk,
D. Warne

Associate Professors
E. Brown, H. Hamdan, S. Lucas,
K. Nashimoto, S. Prins,
J. Rosenhouse, L. Taalman,
A. Tongen, D. Walton, P. Warne

Assistant Professors
E. Arnold, L. Chen, R. Field, N. Jahan,
B. Jones, J. Kidd, C. Martin, J. Martin,
M. Oh, K. Quertermous, D. Sharma,
R. Thelwell, L. Xu

Instructors
A. Casiple, F. Ford, J. Phillippi,
C. Watson

Department of Mathematics and Statistics

Mission Statement
The Department of Mathematics and Statistics provides a program of study in the mathematical sciences which meets the needs of a wide variety of students and makes a continuing contribution to the advancement of mathematical and statistical knowledge and its dissemination. The program provides opportunities for in-depth study that can lead to careers as mathematicians and statisticians in private and public sectors, teachers of mathematics, and further study in graduate school.

The program provides support for the mathematical and statistical needs of students in the natural sciences, integrated sciences, social sciences, and professional and pre-professional programs. The program meets the general education needs of all students, providing an understanding of mathematical and statistical thinking and approaches to problem solving. We are committed to promoting mathematics and statistics as an art of human endeavor as well as a fundamental method of inquiry into the sciences and a vast array of other disciplines. We are committed to encouraging an attitude of appreciation and support for mathematics and statistics in current university students and, through them, the next generation of citizens. We are also committed to fostering an appreciation for the effective use of applied mathematics and statistics in connection with and support of other disciplines for those students majoring in other subjects.

Goals
As a major in mathematics or statistics, a student can expect to use and build on skills such as:

These skills have been gained in previous courses in mathematics, statistics and other areas.
As the breadth of knowledge of the subject grows, students gain an increased understanding and appreciation of the fact that mathematics is truly a universal language whose creation and applications cut across all boundaries of race, class, culture and time. There also will be opportunities for students to experience the challenge and rewards of faculty-mentored research, individually or as a member of a team, as they investigate mathematical and statistical problems that extend beyond those normally encountered in the classroom. Students increase their abilities to prove theorems, understand complex structures and apply mathematics and statistics in many real-world settings. The program students choose will make it possible for them to acquire strong preparation for graduate work or for professional applications in mathematics and statistics, teaching, natural and social sciences or other technical areas.

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Programs
The Department of Mathematics and Statistics offers the B.A. and B.S. degrees with a major in mathematics and the B.S. degree with a major in statistics. There is a program for a major in mathematics that qualifies a student for initial teaching licensure. A concentration in computational sciences is also available. Minors are offered in mathematics and statistics.

The department also recognizes the importance of providing courses for non-specialists who need to make effective use of mathematics or statistics in their chosen careers.

The university is an institutional/educational member of the American Mathematical Society, the American Statistical Association, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.

Students are strongly encouraged to participate in the numerous undergraduate research opportunities as well as individual and small group projects available in the department. Opportunities exist through the Center for Mathematical Modeling, the Office of Statistical Services, honors theses and independent studies with individual faculty mentors.

Majors in the department are expected to participate in assessment activities. Assessment information is used to assist faculty members in modifying curricula.

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Degree and Major Requirements

Bachelor of Arts in Mathematics

Degree Requirements

Required Courses
Credit Hours
General Education 1, 2
41
Foreign Language classes (intermediate level required)
0-14
Philosophy course (in addition to General Education)
3
University electives
21-35
Major requirements (listed below)
41

 
120

1 MATH 231 or MATH 235 must be included and students seeking secondary teaching licensure must include
GPSYC 160.
2 The General Education program contains a set of requirements each student must fulfill. The number of credit hours necessary to fulfill these requirements may vary.

Bachelor of Science in Mathematics

Degree Requirements

Required Courses
Credit Hours
General Education 1, 2
41
Scientific Literacy requirement (in addition to General Education)
3-4
University electives
34-35
Major requirements (listed below)
41

 
120

1 MATH 231 or MATH 235 must be included and students seeking secondary teaching licensure must include
GPSYC 160.
2 The General Education program contains a set of requirements each student must fulfill. The number of credit hours necessary to fulfill these requirements may vary.

Major Requirements

Mathematics requirements depend on whether or not the student is seeking secondary teaching licensure. All students must complete 29 credit hours of the following required core mathematics courses and 12 credit hours of mathematics courses beyond the core.

Core Courses Required of All Majors
Credit Hours
MATH 236-237. Calculus II-III
8
MATH 238. Linear Algebra with Differential Equations
4
MATH 245. Discrete Mathematics
3
MATH 248. Computers and Numerical Algorithms
4
MATH 318. Introduction to Probability and Statistics
4
MATH 410. Advanced Calculus I
3
MATH 430. Abstract Algebra I
3

 
29

Additional Requirements for Students Seeking Secondary Teaching Licensure
Students seeking secondary teaching licensure must (in addition to the required core courses):

Students seeking secondary teaching licensure earn the Bachelor of Arts or Bachelor of Sciences degree and then complete the Master of Arts in Teaching degree.

It is necessary to be admitted to the teacher education program prior to enrolling in pre-professional education courses. For a full description of the program in secondary education, refer to the College of Education, Department of Middle, Secondary and Mathematics Education.

Additional Requirements for Students Not Seeking Secondary Teaching Licensure
Students not seeking secondary teaching licensure track must (in addition to the required core courses) complete one of the following options, each consisting of 12 credit hours of mathematics courses:

The option chosen and the courses chosen to satisfy an option by a student are made in consultation with the student's adviser and are dependent upon the student's interests and career objectives. Students interested in pursuing graduate studies in mathematics are strongly urged to complete both MATH 411 and MATH 431.

Recommended Schedule for Majors Seeking Secondary Licensure

First Year
Credit Hours
Skills for the 21st Century (Cluster One)
9-12
MATH 235-236. Calculus I-II
8
MATH 245. Discrete Mathematics
3
General Education courses
6-9

 
30

Second Year
Credit Hours
MATH 237. Calculus III
4
MATH 238. Linear Algebra with Differential Equations
4
MATH 248. Computers and Numerical Algorithms
4
MATH 318. Introduction to Probability and Statistics
4
Pre-professional education requirements
6
General Education courses/electives
8

 
30

Third Year
Credit Hours
MATH 430. Abstract Algebra I
3
Choose two of the following:
6
     MATH 310. Elementary Theory of Numbers
     MATH 315. The Real Number System
     MATH 410. Advanced Calculus I
     MATH 415. History of Mathematics
     MATH 475. Fundamental Concepts of Geometry
     Mathematics electives numbered 310 or above
Pre-professional education requirements and General Education courses/electives
21

 
30

Fourth Year
Credit Hours
Choose three from the following:
9
     MATH 310. Elementary Theory of Numbers
     MATH 315. The Real Number System
     MATH 410. Advanced Calculus I
     MATH 415. History of Mathematics
     MATH 475. Fundamental Concepts of Geometry
     Mathematics elective(s) numbered at or above MATH 310
Pre-professional education requirements and General Education courses/electives
21

 
30


Recommended Schedule for Majors Not Seeking Secondary Licensure

First Year
Credit Hours
Skills for the 21st Century (Cluster One)
9-12
MATH 235-236. Calculus I-II
8
MATH 245. Discrete Mathematics
3
General Education courses
6-9

 
30

Second Year
Credit Hours
MATH 237. Calculus III
4
MATH 238. Linear Algebra with Differential Equations
4
MATH 248. Computers and Numerical Algorithms
4
MATH 318. Introduction to Probability and Statistics
4
General Education courses/electives
14

 
30

Third Year
Credit Hours
Choose one of the following:
3
     MATH 410. Advanced Calculus I
     MATH 430. Abstract Algebra I
General Education courses/electives
18-21
Mathematics required or elective courses numbered 310 or above
6-9

 
30

Fourth Year
Credit Hours
Choose one of the following:
3
     MATH 410. Advanced Calculus I
     MATH 430. Abstract Algebra I
Mathematics required or elective courses numbered 310 or above
6-9
Electives
18-21

 
30

Computational Sciences Concentration
For students majoring in mathematics or physics, the Departments of Mathematics and Physics offer a coordinated sequence of courses that prepare students for careers in the rapidly expanding field of computer modeling of complex systems. This program is structured so that students can earn a major in one department and a minor in the other. Students need not decide on a major field until their junior year.

The computational sciences concentration will prepare students to design and use computer models in any of those areas in which applied mathematics is used to understand complex systems (meteorology, astronomy, geology/geophysics, oceanography, physics, etc.) The preparation is appropriate for both those students who plan to enter the work force after graduation and those who plan to enter graduate school in applied mathematics, physics, or one of the other fields mentioned above.

Students should complete the following courses during the first two years of the program:

     MATH 235-237. Calculus I-III
     MATH 248. Computers and Numerical Algorithms
     MATH 336. Elementary Differential Equations
          or MATH 238. Linear Algebra with Differential Equations
     PHYS 140L-150L. General Physics Laboratories
     PHYS 240-260. University Physics I-III
     MATH/PHYS 265. Introduction to Fluid Mechanics

During their junior and senior years, students will normally complete the necessary course work for their major and minor. Mathematics majors will take PHYS 340, Mechanics, and MATH/PHYS 365, Introduction to Computational Fluid Mechanics, counted as a physics course to complete their physics minor. Physics majors will take MATH/PHYS 365 counted as a mathematics course and either
MATH 337, Methods of Applied Calculus, or MATH 440, Fourier Analysis and Partial Differential Equations, to complete their mathematics minor. Seniors in either major must complete at least one topics or independent study/research course that involves computer modeling.

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Bachelor of Science in Statistics

The Department of Mathematics and Statistics offers a major in statistics to meet the needs of both the public and the private sectors for graduates with degrees in statistics. The program has two tracks, Applied Statistics and Mathematical Statistics, one of which must be chosen by each student completing the major.

Students interested in the applications of statistics and planning to seek immediate employment as practicing statisticians upon graduation are advised to choose the Applied Statistics track. Emphasis in this track is on the applications of statistics to various fields of study. Students in this track will take courses on the design and analysis of experiments, regression analysis and sample surveys, as well as other courses in applied and theoretical statistics, probability and mathematics. Students who choose the applied statistics track are encouraged to take as many elective courses as possible in applied fields of their choice.

The Mathematical Statistics track is designed for students who have an interest in the mathematics of statistics or plan to go to graduate school in statistics. Students in this track will see more emphasis on probability and the theory of statistics. These students will also have a chance to take additional courses in applied and theoretical statistics as well as courses in mathematics. Students in this track are recommended to take elective courses from the statistics and mathematics courses offered by the department that will prepare them for graduate studies.

Students of statistics are advised to choose between the two tracks by the end of their sophomore year. However, there are a large number of courses common to both tracks, so students may be able to change tracks later in their academic career with little loss of time.


Bachelor of Science in Statistics: Applied Statistics Track

Degree Requirements

Required Courses
Credit Hours
General Education 1, 2
41
Scientific Literacy requirement (in addition to General Education)
3-4
University electives
29-33
Major requirements (listed below)
43-46

 
120

1 MATH 235 or MATH 231 must be included.
2 The General Education program contains a set of requirements each student must fulfill. The number of credit hours necessary to fulfill these requirements may vary.

Major Requirements
Minimum requirements for a B.S. degree with a major in statistics, applied statistics track, are 47 credit hours in statistics and cognate mathematics courses which must include one of the electives in statistics listed below:

Courses
Credit Hours
Statistics Courses
29-31
MATH 220. Elementary Statistics 1
3
MATH 280. SAS Programming and Data Management
3
MATH 318. Introduction to Probability and Statistics
4
MATH 321. Analysis of Variance and Experimental Design
3
MATH 322. Applied Linear Regression
3
MATH 324. Applied Nonparametric Statistics
3
MATH 325. Survey Sampling Methods
3
MATH 421. Applied Multivariate Statistical Analysis
3
MATH 426. Probability and Mathematical Statistics I
3
MATH 429. Research Project in Statistics
1-3
Choose one of the following electives in statistics:
3
     MATH 327. Categorical Data Analysis
     MATH 328. Time Series Analysis
     MATH 423. Stochastic Processes
     MATH 424. Statistical Decision Theory
     MATH 427. Probability and Mathematical Statistics II
Mathematics Cognates:
11-12
     MATH 236-237. Calculus II-III
8
     MATH 300. Linear Algebra 2
3-4

1 Waived for those who have "C" or better in MATH 318. No additional course will be required to substitute
for MATH 220 in this program.
2 MATH 238. Linear Algebra with Differential Equations may be substituted.

In addition to elective statistics courses offered by the department, students in this track are strongly recommended to take as many elective courses as possible from fields of application such as management, business administration, economics, biology or health sciences in which they are interested and in which they might like to be employed.

Recommended Schedule for Statistics Major, Applied Statistics Track

First Year
Credit Hours
Skills for the 21st Century (Cluster One)
9
MATH 220. Elementary Statistics
3
MATH 235. Calculus I
4
MATH 280. SAS Programming and Data Management
3
General Education courses
11

 
30

Second Year
Credit Hours
MATH 236-237. Calculus II-III
8
MATH 318. Introduction to Probability and Statistics
4
MATH 325. Survey Sampling Methods
3
General education courses/electives
15

 
30

Third Year
Credit Hours
MATH 300. Linear Algebra
3
MATH 321. Analysis of Variance and Experimental Design
3
MATH 322. Applied Linear Regression
3
MATH 324. Applied Nonparametric Statistics
3
MATH 426. Probability and Mathematical Statistics I
3
General education courses/electives
15

 
30

Fourth Year
Credit Hours
MATH 421. Applied Multivariate Statistical Analysis
3
MATH 429. Research Project in Statistics
1-3
Elective in Statistics
3
Electives
21-23

 
30


Bachelor of Science in Statistics: Mathematical Statistics Track

Degree Requirements

Required Courses
Credit Hours
General Education 1, 2
41
Scientific Literacy requirement (in addition to General Education)
3-4
University electives
26-28
Major requirements (listed below)
48-49

 
120

1 MATH 235 or MATH 231 must be included.
2 The General Education program contains a set of requirements each student must fulfill. The number of credit hours necessary to fulfill these requirements may vary.

Major Requirements
Minimum requirements for a B.S. degree with a major in statistics, mathematical statistics track, are 52 credit hours in statistics and cognate mathematics courses:

Courses
Credit Hours
Statistics Courses:
28
MATH 220. Elementary Statistics 1
3
MATH 280. SAS Programming and Data Management
3
MATH 318. Introduction to Probability and Statistics
4
MATH 321. Analysis of Variance and Experimental Design
3
MATH 322. Applied Linear Regression
3
MATH 324. Applied Nonparametric Statistics
3
MATH 421. Applied Multivariate Statistical Analysis
3
MATH 426-427. Probability and Mathematical Statistics I-II
6
Choose one of the following electives in statistics:
3
     MATH 328. Time Series Analysis
     MATH 423. Stochastic Processes
     MATH 424. Statistical Decision Theory
Mathematics Cognates:
17-18
     MATH 236-237. Calculus II-III
8
     MATH 245. Discrete Mathematics
3
     MATH 300. Linear Algebra 2
3-4
     MATH 410. Advanced Calculus I
3

1 Waived for those who have "C" or better in MATH 318. No additional course will be required to substitute
for MATH 220 in this program.
2 MATH 238. Linear Algebra with Differential Equations, may be substituted.

In addition to elective statistics courses, students in this track are recommended to take elective courses from the mathematics courses offered by the department that will prepare them to continue in their studies toward an M.S. and/or a Ph.D. degree in statistics.

Recommended Schedule for Statistics Major, Mathematical Statistics Track

First Year
Credit Hours
Skills for the 21st Century (Cluster One)
9
MATH 220. Elementary Statistics
3
MATH 235. Calculus I
4
MATH 280. SAS Programming and Data Management
3
General education courses
11

 
30
 
Second Year
Credit Hours
MATH 236-237. Calculus II-III
8
MATH 318. Introduction to Probability and Statistics
4
MATH 321. Analysis of Variance and Experimental Design
3
General education courses/electives
15

 
30
 
Third Year
Credit Hours
MATH 245. Discrete Mathematics
3
MATH 300. Linear Algebra 1
3
MATH 322. Applied Linear Regression
3
MATH 426-427. Probability and Mathematical Statistics I-II
6
General education courses/electives
15

 
30
 
Fourth Year
Credit Hours
MATH 324. Applied Nonparametric Statistics
3
MATH 410. Advanced Calculus I
3
MATH 421. Applied Multivariate Statistical Analysis
3
Elective in Statistics
3
Electives
18

 
30

1 MATH 238, Linear Algebra with Differential Equations, may be substituted.

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Minor Requirements

Mathematics Minor
The mathematics minor is open to students not majoring in mathematics or statistics. Each student must obtain prior approval of all courses to be counted in the minor from the mathematics adviser,
Dr. Peter D. Kohn, or from the department head.

A minor in mathematics requires a minimum of 18 credit hours. At least six hours must be earned within the JMU Department of Mathematics and Statistics.

Courses
Credit Hours
MATH 235-236. Calculus I-II
8
     or MATH 232. Calculus with Functions II and MATH 236. Calculus II
Mathematics courses numbered 237 or above, excluding mathematics courses
10
     numbered 301-309

 
18

Statistics Minor
The minor in statistics is open to any student not majoring in mathematics or statistics. A minor in statistics requires a minimum of 18 credit hours. Students seeking the minor in statistics must complete one of the following options.

Option 1
Students completing Option 1 must obtain prior approval of the courses to be counted in the minor from the statistics minor adviser, Dr. Nusrat Jahan.

Required Courses
Credit Hours
MATH 322. Applied Linear Regression
3
Choose one of the following:
3-4
     MATH 220. Elementary Statistics
     MATH 318. Introduction to Probability and Statistics or equivalent
Choose four of the following:
12
     MATH 280. SAS Programming and Data Management
     MATH 321. Analysis of Variance and Experimental Design
     MATH 324. Applied Nonparametric Statistics
     MATH 325. Survey Sampling Methods
     MATH 326. Statistical Quality Control
     MATH 327. Categorical Data Analysis
     MATH 328. Time Series Analysis
     MATH 421. Applied Multivariate Statistical Analysis
     MATH 423. Stochastic Processes
     MATH 424. Statistical Decision Theory
     MATH 426. Probability and Mathematical Statistics I
     MATH 427. Probability and Mathematical Statistics II

 
18-19

Option 2
Students completing Option 2 must obtain prior approval of the courses to be counted in the minor from the statistics minor adviser, Dr. Samantha Prins.

Required Courses
Credit Hours
MATH 236 and MATH 237. Calculus II & III
8
MATH 318. Introduction to Probability and Statistics
4
MATH 322. Applied Linear Regression
3
Choose two of the following:
6
     MATH 321. Analysis of Variance and Experimental Design
     MATH 326. Statistical Quality Control
     MATH 423. Stochastic Processes
     MATH 426. Probability and Mathematical Statistics I

 
21


Credit by Examination

The Department of Mathematics offers credit by examination for some of the courses taught in the department. Students who want to take an examination must apply to the department head. Upon application students will receive details regarding approval to take the examination.

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