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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 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:

  • 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 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.

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.

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

19-35

Major requirements (listed below)

41-43


 

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)

3-4

University electives

32-35

Major requirements (listed below)

41-43


 

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 29-31 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 245. Discrete Mathematics

3

MATH 248. Computers and Numerical Algorithms

4

MATH 300. Linear Algebra and MATH 336. Elementary Differential Equations1

6

MATH 318. Introduction to Probability and Statistics

4

MATH 410. Advanced Calculus I

3

MATH 430. Abstract Algebra I

3


 

29-31

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 22-24 credit hours that comprise the pre-professional 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 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 complete (in addition to the required core courses) 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 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

Pre-professional education requirements 

6

General Education courses/electives

6


 

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 470. Connections in 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 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

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 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 238. Linear Algebra with Differential Equations (MATH 300 and MATH 336 may be substituted.)

MATH 248. Computers and Numerical Algorithms

PHYS 140L-150L. General Physics Laboratory I-II

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.

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)

3-4

University electives

28-31

Major requirements (listed below)

45-47


 

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 double-major in statistics and mathematics.

Required Courses

Credit Hours

MATH 220. Elementary Statistics 1

3

MATH 236-237. Calculus II-III

8

Choose one of the following:

3-4

MATH 248. Computers and Numerical Algorithms

 

MATH 309. SAS Programming and Data Management

 

Choose one of the following:

3-4

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 354/BIO 454. Introduction to Biometrics

 

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

 


 

45-47

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

 

Second Year

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

MATH 235-236. Calculus I-II or MATH 232 and MATH 236

8

Mathematics courses numbered 237 or above, excluding mathematics courses numbered 301-309

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:

3-4

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 354/BIO 454. Introduction to Biometrics

 

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.