Print Version of Catalog
Dr. David C. Carothers, Department Head
Phone: (540) 5686184
Email: carothdc@jmu.edu
Location: Roop Hall, Room 305
Website: http://www.math.jmu.edu
Professors
D. Carothers, R. Domangue, S. Garren, H. Hamdan, J. Hanson, P. Kohn, R. Lee, J. Liu, L. Lovin, C. Lubert, S. Lucas, J. Marafino, J. Rosenhouse, J. Sochacki, L. Taalman, A. Tongen, L. Van Wyk, D. Walton, D. Warne, P. Warne
Associate Professors
E. Arnold, E. Brown, L. Chen, R. Field, N. Jahan, B. Jones, K. Nashimoto, E. O’Shea, S. Prins, D. Sharma,
R. Thelwell, L. Xu
Assistant Professors
R. Busi, N. Conforti Preszler, J. Ducey, M. Oh, K. Quertermous, H. AH Shehadeh, J. Siegfried, A. Stevens,
E. Strawbridge, J. Webb, C. Williams, C.Woodruff
Instructors
A. Casiple, D. Hall, G. Jansen, J. Kimmel, C. Watson
Department of Mathematics and Statistics
The Department of Mathematics and Statistics provides a program of study in the mathematical sciences that 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 indepth 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 preprofessional 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:
 Thinking critically
 Formulating and solving problems
 Communicating solutions clearly, both orally and in writing
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 challenges and rewards of facultymentored 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 realworld 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.
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 nonspecialists 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.
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) 
014 
Philosophy course (in addition to General Education) 
3 
University electives 
1935 
Major requirements (listed below) 
4143 



120 
1 MATH 231 or MATH 235 must be included and students seeking secondary teaching licensure must include PSYC 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) 
34 
University electives 
3235 
Major requirements (listed below) 
4143 



120 
1 MATH 231 or MATH 235 must be included and students seeking secondary teaching licensure must include PSYC 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 2931 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 
8 

MATH 245. Discrete Mathematics 
3 
MATH 248. Computers and Numerical Algorithms 
4 
MATH 300. Linear Algebra and MATH 336. Elementary Differential Equations^{1} 
6 
MATH 318. Introduction to Probability and Statistics 
4 
MATH 410. Advanced Calculus I 
3 
MATH 430. Abstract Algebra I 
3 



2931 
1 MATH 238 Linear Algebra with Differential Equations may be substituted for MATH 300 and MATH 336 if the student is completing a double major, seeking the computational sciences concentration, or received credit for MATH 238 before declaring a math major.
Additional Requirements for Students Seeking Secondary Teaching Licensure
Students seeking secondary teaching licensure must (in addition to the required core courses):
 Complete the 2224 credit hours that comprise the preprofessional education program in secondary education.
 Complete 12 credit hours of mathematics courses:
 One of MATH 310 or MATH 315
 MATH 415
 MATH 470
 MATH 475
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 preprofessional 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 complete (in addition to the required core courses) one of the following options, each consisting of 12 credit hours of mathematics courses:
 One of MATH 411, MATH 431, MATH 434 or MATH 435, and nine hours of mathematics electives 310 or above.
 One of the pairs of courses MATH 426 and 427, MATH 440 and MATH 441, or MATH 448 and MATH 449, and six hours of mathematics electives numbered 310 or above.
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) 
912 
8 

MATH 245. Discrete Mathematics 
3 
General Education courses 
69 



30 
Second Year 
Credit Hours 

MATH 237. Calculus III 
4 

MATH 248. Computers and Numerical Algorithms 
4 

MATH 300. Linear Algebra 
3 

MATH 336. Elementary Differential Equations 
3 

MATH 318. Introduction to Probability and Statistics 
4 

Preprofessional education requirements 
6 

General Education courses/electives 
6 




30 

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 


Preprofessional 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 470. Connections in Mathematics 


MATH 475. Fundamental Concepts of Geometry 


Mathematics elective(s) numbered at or above MATH 310 


Preprofessional 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) 
912 
8 

MATH 245. Discrete Mathematics 
3 
General Education courses 
69 



30 
Second Year 
Credit Hours 

MATH 237. Calculus III 
4 

MATH 248. Computers and Numerical Algorithms 
4 

MATH 300. Linear Algebra 
3 

MATH 336. Elementary Differential Equations 
3 

MATH 318. Introduction to Probability and Statistics 
4 

General Education courses/electives 
12 




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 
1821 

Mathematics required or elective courses numbered 310 or above 
69 




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 310 or above 
69 
Electives 
1821 



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 238. Linear Algebra with Differential Equations (MATH 300 and MATH 336 may be substituted.)
MATH 248. Computers and Numerical Algorithms
PHYS 140L150L. General Physics Laboratory III
PHYS 240260. University Physics IIII
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.
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 required courses provide a balance of applications and theory, which allows students to prepare for immediate employment or graduate studies by proper selection of the program electives.
Degree Requirements
Required Courses 
Credit Hours 
General Education ^{1, 2} 
41 
Scientific Literacy requirement (in addition to General Education) 
34 
University electives 
2831 
Major requirements (listed below) 
4547 



120 
1 MATH 231 or MATH 235 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
Requirements for a B.S. degree with a major in statistics are the following required courses and a minimum of nine credit hours from the electives listed below. Students interested in pursuing graduate studies in statistics are strongly encouraged to doublemajor in statistics and mathematics.
Credit Hours 

MATH 220. Elementary Statistics ^{1} 
3 
8 

Choose one of the following: 
34 
MATH 248. Computers and Numerical Algorithms 

MATH 309. SAS Programming and Data Management 

Choose one of the following: 
34 
MATH 238. Linear Algebra with Differential Equations 

MATH 300. Linear Algebra 

MATH 318. Introduction to Probability and Statistics 
4 
MATH 321. Analysis of Variance and Experimental Design 
3 
MATH 322. Applied Linear Regression 
3 
MATH 327. Categorical Data Analysis 
3 
MATH 421. Applied Multivariate Statistical Analysis 
3 
MATH 426. Probability and Mathematical Statistics I 
3 
MATH 428. Statistical Consulting 
3 
Electives 
6 
MATH 324. Applied Nonparametric Statistics 

MATH 325. Survey Sampling Methods 

MATH 326. Statistical Quality Control 

MATH 328. Time Series Analysis 



MATH 410. Advanced Calculus 

MATH 423. Stochastic Processes 

MATH 424. Statistical Decision Theory 

MATH 427. Probability and Mathematical Statistics II 

MATH 429. Research Project in Statistics 




4547 
1 Waived for those who have "C" or better in MATH 318. No additional course will be required to substitute for MATH 220 if the requirement is waived.
Recommended Schedule for Statistics
First Year 
Credit Hours 
Skills for the 21st Century (Cluster One) 
9 
MATH 220. Elementary Statistics 
3 
MATH 236. Calculus II 
4 
MATH 309. SAS Programming and Data Management ^{1} 
3 
General Education courses 
11 



30 
Credit Hours 

MATH 237. Calculus III 
4 

MATH 318. Introduction to Probability and Statistics 
4 

MATH 321. Analysis of Variance and Experimental Design 
3 

MATH 322. Applied Linear Regression 
3 

General Education courses/electives 
16 




30 

Third Year 
Credit Hours 

MATH 300. Linear Algebra ^{2} 
3 

MATH 327. Categorical Data Analysis 
3 

General Education courses/electives 
24 



30 

Fourth Year 
Credit Hours 

MATH 421. Applied Multivariate Statistical Analysis 
3 

MATH 426. Probability and Mathematical Statistics I 
3 

MATH 428. Statistical Consulting 
3 

Electives 
21 




30 
1 MATH 248. Computers and Numerical Algorithms may be substituted.
2 MATH 238. Linear Algebra with Differential Equations may be substituted.
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 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.
Core Courses 
Credit Hours 
8 

Mathematics courses numbered 237 or above, excluding mathematics courses numbered 301309 
10 



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: 
34 
MATH 220. Elementary Statistics 

MATH 318. Introduction to Probability and Statistics or equivalent 

Choose four of the following: 
12 
MATH 309. 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 



1819 
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 
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.