Academic Programs
Department of Mathematics and Statistics
Dr. David C. Carothers, Head
Location: Roop Hall, Room 305
Phone: (540) 5686184
Email: carothdc@jmu.edu
Web site: http://www.math.jmu.edu
Professors
D. Carothers, R. Domangue, C. Droms, S. Garren, J. Hanson,
J. Klippert, P. Kohn, R. Lee, J. Liu, C. Lubert, G. Parker, G. Peterson, D. Pruett,
J. Sochacki, L. Van Wyk, D. Warne
Associate Professors
E. Brown, J. Fitzgerald, H. Hamdan, S. Lucas, J. Marafino, J. Rosenhouse,
L. Taalman, A. Tongen, D. Walton, P. Warne
Assistant Professors
E. Arnold, L. Chen, R. Field, N. Jahan, J. Kidd, C. Martin, J. Martin, K. Nashimoto, S. Prins, D. Sharma, R. Thelwell, L. Xu
Instructors
A. Casiple, R. Charest, F. Ford, J. Phillippi, E. Ruffin, C. Watson
Mission Statement
Programs
Degree and Major Requirements
Minor Requirements
Credit by Examination
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 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 challenge 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.
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  2135 
Major requirements (listed below)  41 
120 
1 MATH 235, Calculus I, 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)  34 
University electives  3435 
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 236237. Calculus IIIII  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):
 Complete the 2224 credit hours which comprise the preprofessional (undergraduate) education program in secondary education.
 Complete 12 credit hours of mathematics courses as follows:
 One of MATH 310 or MATH 315
 MATH 415
 MATH 475
 One mathematics elective course numbered 310 or above
It is suggested that students with expectations of teaching AP Calculus take MATH 411 and those with expectations of teaching AP Statistics take either MATH 321 or MATH 322 for the above mathematics elective.
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 (in addition to the required core courses) complete one of the following options, each consisting of 12 credit hours of mathematics courses:
 One of MATH 411, MATH 431 or MATH 435, and nine hours of mathematics electives numbered 310 or above.
 One of the pairs of courses MATH 426 and 427, MATH 440 and 441, or MATH 448 and 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 
MATH 235236. Calculus III  8 
MATH 245. Discrete Mathematics  3 
General Education courses  69 
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 
Preprofessional 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  
Preprofessional education requirements and General Education  21 
courses/electives  
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  
Preprofessional education requirements and General Education  21 
courses/electives  
30 
Recommended Schedule for Majors Not Seeking Secondary Licensure
First Year  Credit Hours 
Skills for the 21st Century (Cluster One)  912 
MATH 235236. Calculus III  8 
MATH 245. Discrete Mathematics  3 
General Education courses  69 
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  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 numbered 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 235237. Calculus IIII
MATH 248. Computers and Numerical Algorithms
MATH 336. Elementary Differential Equations, or
MATH 238. Linear Algebra with Differential Equations
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 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)  34 
University electives  2933 
Major requirements (listed below)  4346 
120 
1 MATH 235 and 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:  2931 
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  13 
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:  1112 
MATH 236237. Calculus IIIII  8 
MATH 300. Linear Algebra2  34 
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 280. SAS Programming and Data Management  3 
MATH 235. Calculus I  4 
General Education courses  11 
30 

Second Year  Credit Hours 
MATH 236237. Calculus IIIII  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 321. Analysis of Variance and Experimental Design  3 
MATH 322. Applied Linear Regression  3 
MATH 324. Applied Nonparametric Statistics  3 
MATH 300. Linear Algebra  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 Projects in Statistics  13 
Elective in Statistics  3 
Electives  2123 
30 
Bachelor of Science in Statistics: Mathematical Statistics Track
Degree Requirements
Requirements  Credit Hours 
General Education^{1,2}  41 
Scientific Literacy requirement (in addition to General Education)  34 
University electives  2628 
Major requirements (listed below)  4849 
120 
1 MATH 235 and 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:
Requirements  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 426427. Probability and Mathematical Statistics III  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:  1718 
MATH 236237. Calculus IIIII  8 
MATH 245. Discrete Mathematics  3 
MATH 300. Linear Algebra^{2}  34 
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 280. SAS Programming and Data Management  3 
MATH 235. Calculus I  4 
General education courses  11 
30 

Second Year  Credit Hours 
MATH 236237. Calculus IIIII  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 322. Applied Linear Regression  3 
MATH 300. Linear Algebra^{1}  3 
MATH 312. Discrete Mathematics  3 
MATH 426427. Probability and Mathematical Statistics III  6 
General education courses/electives  15 
30 

Fourth Year  Credit Hours 
MATH 324. Applied Nonparametric Statistics  3 
MATH 421. Applied Multivariate Statistical Analysis  3 
MATH 410. Advanced Calculus I  3 
Elective in Statistics  3 
Electives  18 
30 
1 MATH 238, Linear Algebra with Differential Equations, may be substituted.
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.
Requirements  Credit Hours 
MATH 235236. Calculus III  8 
OR MATH 231, MATH 232 and MATH 236  
Mathematics courses numbered 237 or above,  10 
excluding mathematics courses numbered 301309  
18 
Statistics Minor
The minor in statistics is open to any student not majoring in mathematics or statistics. Each student must obtain prior approval of the courses to be counted in the minor from the statistics minor adviser, Dr. Nusrat Jahan.
A minor in statistics requires a minimum of 18 credit hours.
Requirements  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 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  
1819 
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.