MATHEMATICS AND STATISTICS

Mathematics Major
Mathematics Minor

Course Descriptions

Gildemeister Hall, Room 322 (507-457-5370)
www.winona.edu/mathematics
Brant Deppa (Chairperson)

FACULTY
Jeffrey Anderson, Acting Dean, College of Science and Engineering; B.A., University of Minnesota, Morris; Ph.D., Iowa State University; 1992 –
Susan Beseler, Assistant Professor; B.S., Winona State University; M.E., University of Wisconsin-La Crosse; 2005 –
Gary Bunce, Professor; B.S., North Dakota State University; M.A., Ph.D., University of New Mexico; 1971 –
Joyati Debnath, Professor; B.Sc., M.Sc., Jadavpur University; M.S., Ph.D., Iowa State University of Science and Technology; 1989 –
Brant Deppa, Professor; B.S., M.S., University of Minnesota, Duluth; Ph.D., University of Minnesota-Twin Cities; 1992 –
Jeffrey Draskoci-Johnson, Associate Professor; B.A., Ohio Wesleyan University; M.S., Ph.D., Ohio State University-Columbus; 1996 –
Eric Errthum, Assistant Professor; B.S., University of Iowa; Ph.D., University of Maryland; 2007 –
Tisha Hooks, Assistant Professor; B.S., University of Nebraska-Kearney; M.S., Ph.D., University of Nebraska-Lincoln; 2006 –
Richard Jarvinen, Professor; B.A., St. John’s University; M.A.T., Vanderbilt University; Ph.D., Syracuse University; 1989 –
Steven Leonhardi, Professor; B.A., Concordia College, Moorhead (MN); M.A., Ph.D., University of Wisconsin-Madison; 1996 –
Christopher Malone, Assistant Professor; B.S., Winona State University; M.S., Ph.D., Kansas State University; 2002 –
Felino G. Pascual, Professor; B.S., Ateneo de Manila, Philippines; M.Sc., Ph.D., University of Minnesota-Twin Cities; 1992 –
Barry Peratt, Associate Professor; B.S., Moravian College; M.S., Ph.D., University of Delaware; 1996 –
Terry M. Price, Associate Professor; B.S., M.S., Lamar University-Beaumont; Ph.D., Washington State University; 1998 –
Joyce Quella, Associate Professor; B.S., University of Wisconsin-Madison; M.A.., University of Illinois; 1987 –
Cheryl Quinn Nelson, Associate Professor; B.A., Luther College; M.S., Winona State University;1986 –
Daniel Rand, Associate Professor; B.S., Purdue University; M.S., Ph.D., University of Minnesota-Twin Cities; 1998 –
Kenneth A. Suman, Professor; B.S., M.S., Clemson University; Ph.D., Pennsylvania State University; 1990 –
David K. Urion, Professor; B.A., Culver-Stockton College; M.S., Miami University; Ph.D., University of Maryland; 1982 –
Aaron Wangberg, Assistant Professor; B.A., Luther College; Ph.D., Oregon State University; 2007 –
Nicole Williams, Assistant Professor; B.S., University of Maine at Farmington; M.S., Illinois State; 2003 –

PURPOSE
The Department of Mathematics and Statistics offers major programs in mathematics, mathematics education, and statistics. The department also offers minor programs in mathematics, statistics, and mathematics education (secondary teaching). These programs are designed around a common, required departmental core of courses, which allows students to change majors within the department or to coordinate double majors with relative ease during the first two years of coursework. The best choice of courses beyond the core depends upon career plans (industry, graduate school, professional school, teaching, government, finance, insurance, etc.), and students should consult with faculty advisors as early as possible.
The mathematics major (B.A. Major - Mathematics) is specifically designed to support a wide range of student interests. Whether the goal is to complement coursework in another discipline, to obtain an education leading to a position in industry or in government, or to prepare for graduate work, students can choose elective coursework within the department to suit these needs.
The mathematics teaching major (B.S. Major - Mathematics Teaching) is designed to prepare students for a career in teaching mathematics (grades 5-12). In addition, students in the mathematics education program may choose to complete an additional major or minor program, which also grants licensure in those subjects. All these options may offer important advantages regarding employment.
The statistics option (B.S. Major - Statistics) provides students with both a solid background in mathematics as well as experiences with statistical theories, techniques, and software. The statistics faculty members have experience in the application of statistics to diverse areas such as quality control, industrial experimental design, clinical trials, and the social sciences. Because statistics is applicable in a wide variety of fields, a minor or second major in statistics is a good choice for students majoring in fields such as the biological and earth sciences, business, economics, sociology, and psychology.

CAREERS IN THE MATHEMATICAL SCIENCES
There are opportunities for graduates with a mathematics major in industry as part of a development or research team and in government service. However, graduates who complete a double major including mathematics find themselves in significantly greater demand than if they had completed either major singly. The B.A. Major - Mathematics is specifically designed to address this employment trend.
Current job placement for students with a mathematics teaching major remains strong, and projections indicate this will continue for the next decade. With a degree in mathematics education, career opportunities also exist within insurance companies, other business and industry, government, and the armed services. With appropriate choices of elective courses, students who earn a B.S. Major-Mathematics: Secondary Teaching will be qualified for graduate studies in a number of fields including mathematics, statistics, actuarial science, mathematics education, educational psychology, and business.
The job market for statistics majors is very solid with some projections indicating that the demand for statisticians will continue to increase. In statistics, opportunities for professional employment exist in industry, medical research, government agencies, and several areas of business. Students who earn a B. S. Major - Mathematics: Statistics Option can also find future careers in actuarial science, quality control, or biostatistics.

• Actuarial Science. Actuaries use quantitative skills to analyze and plan for future financial situations. About two-thirds of all actuaries are employed in the insurance industry. Actuaries assess risk and make sure that the insurance company charges a fair price to assume that risk. An increasing number of actuaries work in consulting where they advise companies specializing in the areas of financial services, risk management, and health care. See page 155 for suggested electives.
• Quality Assessment and Improvement. There is a great need today for a work force proficient in the principles and practices of quality improvement. In order to prepare for employment in this area, a student may pursue a major or minor with a statistics emphasis. Students pursuing any major who are interested in the area of quality control should consider preparing themselves for the ASQ (American Society for Quality) certification examinations. See page 155 for a list of courses that help students prepare for certification examinations.
• Biostatistics. Biostatistics is a rapidly expanding field combining the disciplines of statistics, biology, and the health sciences. Biostatisticians work at major medical clinics, pharmaceutical companies, and universities performing clinical trials and analyzing health-related data. Students who earn a B.S. Major - Mathematics: Statistics Option are well-prepared for either an entry-level position or admission into a graduate school in biostatistics. See page 155 for suggested electives.

HONORS IN MATHEMATICS AND STATISTICS
A departmental honors program is available to qualified majors in the Department of Mathematics and Statistics. Students completing the departmental honors program will graduate with honors in the Department of Mathematics and Statistics. Requirements of the departmental honors program include completing a thesis, which is reviewed by two departmental faculty readers, attending departmental colloquia and seminars, and presenting a summary of the thesis in a departmental seminar. For more details, contact the department chairperson.

CREDIT BY EXAM COURSES
A student may receive credit by examination for MATH 140, MATH 160 and MATH 165. A student is allowed only one attempt per course. A grade of “B” or higher is required on the examination to receive credit.

ADVANCED PLACEMENT CREDIT
Students can receive credit for MATH 160, MATH 165 and STAT 110 or STAT 210 for high school courses taken through the Advanced Placement Program. Consult with the department chairperson for specific test score requirements.

PASS/NO CREDIT (P/NC) COURSES
The pass/no credit option is available to non-majors unless otherwise noted. MATH 050 and STAT 492 must be taken for pass/no credit. Any other course not required nor elected for a major or minor may be taken on a pass/no credit basis.
Except for internships and practica, students must take all courses in their major, minor, options, concentrations and licensures on a grade-only basis. Courses offered on a pass/no credit-only or grade-only basis are so designated in the course descriptions.

PREREQUISITES
The prerequisites for courses in the Department of Mathematics and Statistics must be met with a “C” grade or better or by instructor permission.

TRANSFER CREDIT
No credit will be given for a grade below a “C” for mathematics, mathematics education, or statistics courses taken at other institutions.

UNIVERSITY STUDIES FLAG REQUIREMENTS
Students may use flag courses to satisfy both University Studies and major requirements. Flag courses will usually be in the student’s major or minor program. The Mathematics and Statistics Department offers the following flag courses in the University Studies Program:

FLAGS

MATHEMATICS
Oral 
MATH 410 History of Mathematics (3)
MATH 430 Operations Research: Linear Programming (3)
Math/Critical Analysis 
MATH 220 Combinatorics and Graph Theory (3)
MATH 260 Multivariable Calculus (4)
MATH 270 Differential Equation and Linear Algebra (4)
MATH 310 Number Theory (3)
Writing 
MATH 330 Advanced Calculus I (4)
MATH 440 Abstract Algebra (4)

MATHEMATICS EDUCATION
Oral 
MTED 420 Technology and Professional Development in the
Secondary Schools (3)
Math/Critical Analysis 
MTED 125 Mathematics for Elementary Teachers (4)
MTED 322 Modern Geometry (4)
Writing 
MTED 320 Teaching Mathematics in the Secondary Schools (3)

STATISTICS
Oral 
STAT 415 Multivariate Analysis (3)
STAT 425 Modern Methods of Data Analysis (3)
Math/Critical Analysis 
STAT 255 Data Management Using SAS (3)
STAT 320 Statistical Quality Control (3)
Writing 
STAT 450 Introduction to Mathematical Statistics I (3)
STAT 460 Introduction to Mathematical Statistics II (3)

Flag courses that can be used to satisfy mathematics and statistics major/minor requirements are identified in the lists of required courses and electives in this section.

DEPARTMENTAL CORE (25-26 S.H.)
Techniques of Continuous Mathematics – MATH (12 S.H.)
160 Calculus I (4)
165 Calculus II (4)
 260 Multivariable Calculus (4)
Matrix Algebra and Applications – MATH (3-4 S.H.)
130 Matrix Algebra (3) OR
† 270 Differential Equations & Linear Algebra (4)
Introduction to Theoretical and Discrete Mathematics – MATH (7 S.H.)
210 Foundations of Mathematics (4)
‡ 305 Probability (3)
Statistics – STAT (3 S.H.)
210 Statistics (3) OR
303 Introduction to Engineering Statistics (3) OR
305 Biometry (3)

† MATH 270 is required for the mathematics major.
‡ With the academic advisor’s approval, a different upper-division MATH or STAT course may be substituted for the mathematics major.

B.A. MAJOR - MATHEMATICS (MATH)
40-41 S.H. (Minor or Second Major Required)

The B.A. program in Mathematics provides students with instruction in the basic techniques, applications, and theories of mathematics. Consequently, all B.A. mathematics majors must complete the Departmental Core and two courses in advanced mathematical theory. Beyond this, students choose from electives, which are designed to complement another major or minor, prepare for future graduate work, or provide coursework that is specific to the needs of industry. Students must earn a grade of “C” or higher in all required departmental courses.
Students currently majoring or planning to major in other disciplines are strongly urged to consider adding a major or minor in mathematics as a useful means of preparing for professional exams, such as the MCAT; as a way of creating an undergraduate program that sets the student apart from others in that discipline when competing for future employment; and as a way of increasing options for future graduate work.

DEPARTMENTAL CORE (26 S.H.)
With the advisor’s approval, students may use an additional elective course to substitute for MATH 305. Mathematics majors are required to take MATH 270 (Differential Equations and Linear Algebra).

MATHEMATICS – MATH (11 S.H.)
 330 Advanced Calculus I (4)
340 Advanced Linear Algebra (3)
 440 Abstract Algebra (4)

ELECTIVES (3-4 S.H.)
One upper-division elective chosen from courses numbered MATH 310 and above or STAT 320 and above.

DOUBLE MAJOR IN MATHEMATICS AND MATHEMATICS EDUCATION
A student will be classified as a major in both mathematics and mathematics education if the student completes the Departmental Core and the required courses for a mathematics education major.

DOUBLE MAJOR IN MATHEMATICS AND STATISTICS
A student will be classified as a major in both mathematics and statistics if the student completes the Departmental Core and the required courses for a statistics major in addition to the following MATH courses:
330 Advanced Calculus I (4) AND
335 Advanced Calculus II (4) OR
340 Advanced Linear Algebra (3) OR
440 Abstract Algebra (4)

B.S. MAJOR - MATHEMATICS: SECONDARY TEACHING (MTHT)
54-55 S.H. (No Minor Required)

The mathematics teaching major prepares students for teaching mathematics in grades 5 to 12. This program is administered through the Department of Mathematics and Statistics and the College of Education. Therefore, majors must satisfy requirements of and be admitted to the College of Education in addition to satisfying the requirements of the Department of Mathematics and Statistics.
The College of Education course requirements are listed under “Additional Coursework” below. Students interested in a mathematics teaching major should contact the Department of Mathematics and Statistics for an advisor.

Student Teaching Requirements
To receive departmental recommendation for student teaching, a student must:
1. Complete all courses required for the major.
2. Earn a grade of “C” or better and achieve a minimum 2.75 GPA in all
MATH, MTED, and STAT courses required for the major.
3. Meet the requirements of the College of Education. MTED 320
and MTED 420 must be completed prior to student teaching.

Additional Graduation Requirements
For a checklist of the University’s graduation requirements, see page 23.

DEPARTMENTAL CORE (25-26 S.H.)

REQUIRED COURSES (26 S.H.)
Mathematics – MATH (14 S.H.)
 310 Number Theory (3)
 330 Advanced Calculus I (4)
 410 History of Mathematics (3)
 440 Abstract Algebra (4)
Mathematics Education – MTED (11 S.H.)
 221 Middle School Methods in Mathematics (1)
320 Teaching Mathematics in the Secondary Schools (3)
 322 Modern Geometry (4)
 420 Technology and Professional Development in the Secondary
Schools (3)
Statistics – STAT (1 S.H.)
115 Laboratory in Statistics (1)

ELECTIVES (3 S.H.)
In consultation with an advisor, students should choose from courses numbered MATH 310 and above or STAT 320 and above, or MTED 420 and above.

ADDITIONAL COURSEWORK (38 S.H.)
Students in the Mathematics: Secondary Teaching major must also complete the courses listed below.
Notes:
• Professional Education Sequence courses require formal admission to the teacher education program. (See page 91, “Admission to the WSU Teacher Education Program.”)
• The College of Education plans to restructure some program offerings in 2007-2008. As a result, the content, numbering, and/or credit hours for Professional Education Sequence courses will likely be revised after this catalog goes to print. To obtain the latest course requirements, please refer to the current program sheets, which are available from the department office or online at www.winona.edu/education/advising.

I. Professional Education Sequence (32 S.H.) in the College of
Education:
* EDUC 305 Human Development and Learning (4)
EDUC 308 Human Relations and Student Diversity (3)
 EDUC 312 Instructional Planning and Assessment: Secondary (3)
EDUC 429 Secondary Reading and Teaching Strategies (4)
EDUC 449 Middle Level Philosophy, Organization and
Interdisciplinary Planning (3)
 EDUC 459 The Professional Educator (3)
 EDST 465 Student Teaching (12-16)
II. HERS 204 Personal and Community Health (3) (Also fulfills University Studies Basic Skills, Physical Development and Wellness requirement (See page 19.)
*III.SPED 400 Education of Exceptional Children/Youth (3)
(Also partially fulfills University Studies Arts & Sciences
Core, Social Science requirement (See page 19.)

B.S. MAJOR - MATHEMATICS: STATISTICS OPTION (MTST)
56-57 S.H. (No Minor Required)

The B.S. Program in Statistics provides students with instruction in the basic techniques, applications, and theories of mathematics and statistics. Students choosing statistics may complete a statistics project under the supervision of a faculty member. This provides students the opportunity to work with a faculty member on a consulting project or research problem. For students planning to attend graduate school, the research project is recommended. Internship opportunities also exist for students in the statistics major. Recent graduates have completed internships at the Mayo Clinic, insurance companies, local industry, and non-profit organizations. Both consulting projects and internships are good choices for students seeking employment upon graduation.
Students who are interested in business or industrial applications of statistics might consider the fields of actuarial science or quality control. Specific information about these two fields follows the required coursework for the statistics major.

DEPARTMENTAL CORE (25-26 S.H.)

REQUIRED COURSES (19 S.H.)
Statistics – STAT
115 Laboratory in Statistics (1)
255 Data Management Using SAS (3) OR a CS course numbered 234 or above
360 Regression Analysis (3)
 450 Introduction to Mathematical Statistics I (3)
 460 Introduction to Mathematical Statistics II (3)
Capstone Experience – STAT (3)
488 Statistics Projects (1-6) OR
492 Practicum in Statistics (3-6)

For each capstone experience, a project proposal must be developed in consultation with a faculty member. A written report is required for satisfactory completion of the capstone experience. The written report must summarize the work completed for the course. Students are expected to submit a poster and/or give an oral presentation at a forum approved by the designated faculty member.

ELECTIVES (12 S.H.)
In consultation with an advisor, students should choose 12 semester hours from MATH courses numbered 310 and above, STAT courses numbered 320 and above, CS courses numbered 234 and above, or FIN 335. Students may also choose other classes with a significant mathematical/statistical component offered outside the department; however, the courses must be approved by the Department of Mathematics and Statistics. At least 6 semester hours must be chosen from STAT courses.

Actuarial Science
To become a certified actuary, candidates must pass a series of examinations that are administered by the Society of Actuaries (SOA). Some of the examinations can be successfully completed while the student is still in college. In fact, some companies only hire candidates who have successfully completed at least one of the examinations.
WSU offers the following courses that will prepare students for the first exam on Probability (SOA Exam P1).
• MATH 160, 165, 260, and 305
• STAT 210 and 450
Actuaries are also required to be certified in three key subject areas through their college coursework that are not covered on the SOA examinations. This certification is called Validation through Educational Experience (VEE). Subject areas and courses for VEE certification are listed below.
• VEE Economics
ECON 201 Principles of Microeconomics (3)
ECON 202 Principles of Macroeconomics (3)
• VEE Applied Statistical Methods
STAT 360 Regression Analysis (3)
FIN 335 Forecasting Methods (3)
• VEE Corporate Finance
FIN 360 Corporate Finance (3)
FIN 377 Investments (3)

Quality Assessment and Improvement
Mathematics/Statistics majors who are interested in the area of quality assessment and improvement should consider preparing themselves for the ASQ (American Society for Quality) certification examinations. These examinations are nationally recognized and greatly enhance employment opportunities. The Department of Mathematics and Statistics offers the following courses to help students prepare for certification examinations:
Quality Inspector: STAT 110 or 210 or 303, STAT 320
Quality Technician: STAT 110 or 210 or 303, STAT 320
Quality Auditor: STAT 110 or 210 or 303, STAT 320
Software Quality Engineer: STAT 110 or 210 or 303, STAT 320
Quality Improvement Associate: STAT 110 or 210 or 303, STAT 320, STAT 321
Quality Engineer: STAT 110 or 210 or 303, STAT 320-321
Six Sigma Black Belt/Green Belt: STAT 110 or 210 or 303, STAT 320-321
Manager of Quality/
Organizational Excellence: STAT 110 or 210 or 303, STAT 320, STAT 350
Reliability Engineer: MATH 140 or 160, STAT 210 or 303, STAT 320-321

Biostatistics
Students interested in biostatistics are advised to take courses in biology, computer science, health sciences, and statistics, such as:
BIOL 310 Genetics
HERS 403 Epidemiology
CS 368 Introduction to Bioinformatics
STAT 405 Biostatistics

B.A. MINOR - MATHEMATICS (MATH)
22-23 S.H.

The Departmental Core (minus MATH 305) is the B.A. minor in mathematics.

B.S. MINOR - MATHEMATICS: EDUCATION OPTION (MTED)
26 S.H.

REQUIRED COURSES (26 S.H.)
Mathematics – MATH (15 S.H.)
130 Matrix Algebra (3)
160, 165 Calculus I, II (8)
210 Foundations of Mathematics (4)
Mathematics Education – MTED (8 S.H.)
221 Middle School Methods in Mathematics (1)
 320 Teaching Mathematics in the Secondary Schools (3)
 322 Modern Geometry (4)
Statistics – STAT (3 S.H.)
210 Statistics (3)
†The state of Minnesota no longer issues teaching licenses for Bachelor of Science minors. However, this minor may provide the opportunity to teach mathematics outside the state of Minnesota.

B.S. MINOR - MATHEMATICS: STATISTICS OPTION (MTST)
21-23 S.H.

Either teaching or non-teaching degree candidates may take the B.S. minor in statistics option; however, this is not a certifiable minor for teaching.

REQUIRED COURSES (15-17 S.H.)
Mathematics (6-8 S.H.)
MATH 130 Matrix Algebra (3) OR
 MATH 270 Differential Equations and Linear Algebra (4)
MATH 140 Applied Calculus (3) OR
MATH 155 Calculus Based Modeling (3) OR
MATH 160 Calculus I (4)
Statistics (3 S.H.)
STAT 110 Fundamentals of Statistics (3) OR
STAT 210 Statistics (3) OR
STAT 303 Introduction to Engineering Statistics (3) OR
STAT 305 Biometry (3) OR
 BUSA 220 Business Statistics (3) OR
 PSY 231 Statistics (3)
Two of the following six courses (6 S.H.):
STAT 350 Design of Samples and Surveys (3)
STAT 355 Nonparametric Statistics (3)
STAT 360 Regression Analysis (3)
STAT 365 Experimental Design and Analysis (3) OR
STAT 321 Industrial Design of Experiments I (3)
 STAT 415 Multivariate Analysis (3)
 STAT 425 Modern Methods of Data Analysis (3)

ELECTIVES (6 S.H.)
Select 6 S.H. from Group I and Group II (At most, 3 S.H. from Group II.)

Group I - Statistics
 MATH 305 Probability (3)
‡ STAT 321 Industrial Design of Experiments I (3)
‡ STAT 350 Design of Sample and Surveys (3)
‡ STAT 355 Nonparametric Statistics (3)
‡ STAT 360 Regression Analysis (3)
‡ STAT 365 Experimental Design and Analysis (3)
STAT 405 Biostatistics (3)
‡ STAT 415 Multivariate Analysis (3)
‡ STAT 425 Modern Methods of Data Analysis (3)
 STAT 450 Mathematical Statistics I (3)
 STAT 460 Mathematical Statistics II (3)

‡ Can be used as an elective course if not used as a required course

Group II - Application Areas
Select up to 3 S.H. from the following courses:
Biology – BIOL 310 (3), 312 (3)
Computer Science – CS 231 (3), 234 (3), 298 (3)
Economics – ECON 304 (3), 450 (3)
Finance – FIN 335 (3), 360 (3), 423 (3)
Health, Exercise and Rehabilitative Sciences – HERS 403 (3)
Marketing – MKTG 334 (3)
Mathematics – MATH 340 (3), 420 (3), 430 (3), 435 (3)
Nursing – NURS 375 (3)
Physics – PHYS 345 (3)
Political Science – POLS 410 (3)
Psychology – PSY 308 (3), 350 (3)
Sociology – SOC 376 (3)
Statistics – STAT 115 (1), 255 (3), 289 (1-3), 290 (1-4), 310 (3),
320 (3), 321 (3), 322 (3), 440 (3), 488 (1-6), 489 (1-3), 490 (1-4)

COURSE DESCRIPTIONS
All courses are offered every semester unless indicated differently.

MATHEMATICS (MATH)
050 - Intermediate Algebra (3 S.H.)
A review of pre-algebra and intermediate algebra topics designed to prepare the student for college-level mathematics. MATH 050 is a non-degree credit course and will not count toward meeting minimum total credit requirements for graduation. P/NC only.
100 - Survey of Mathematics (3 S.H.)
Study of networking, probability, statistical inference, and logic designed to illustrate the connection between contemporary mathematics and modern society. Grade only. Prerequisite: Qualifying score on the mathematics placement exam or MATH 050. Note: This course fulfills certain Board of Teaching (BOT) requirements for education majors.
110 - Finite Mathematics (3 S.H.)
Applications of matrices, linear programming, probability, and the mathematics of finance to real-life problems. This course provides the non-calculus mathematics background necessary for students in business, management, and social sciences. Prerequisite: Qualifying score on the mathematics placement exam or MATH 050.
115 – College Algebra (4 S.H.)
This course will give students a rigorous preparation in algebra. Topics include review of basic algebraic concepts; functions and graphs; polynomial, radical, rational, exponential and logarithmic functions; equations, inequalities, systems of equations and inequalities; and applications. Prerequisite: MATH 050 or mathematics placement.
120 - Precalculus (4 S.H.)
A study of topics designed to give students the skills necessary for successful completion of calculus. Equation solving, graphing, functions, and trigonometry are some of the main topics covered. Prerequisite: Qualifying score on the mathematics placement exam or MATH 115.
130 - Matrix Algebra (3 S.H.)
An introduction to matrix algebra and elementary vector spaces with an emphasis on computation. Prerequisite: MATH 120
140 - Applied Calculus (3 S.H.)
An intuitive approach to calculus for students in business, management, or the social sciences. Emphasis throughout is to enhance students’ understanding of how mathematics is used in real-world applications. Prerequisite: Qualifying score on the mathematics placement exam, MATH 115, or MATH 120.

150 - Modeling using Precalculus and Statistics, 155 -
Calculus Based Modeling (3 S.H. Each)
A two-semester sequence designed for earth- and life-science majors to develop their algebraic, trigonometric, statistical, and calculus skills through modeling applications. Prerequisite for MATH 150: Qualifying score on the mathematics placement exam or MATH 115. Prerequisite for MATH 155: MATH 150.
160, 165 - Calculus I, II (4 S.H. Each)
Differential and integral calculus of functions of a single variable. Two semesters in sequence. Prerequisite: Qualifying score on the mathematics placement exam or MATH 120.
161 - Calculus Companion I: Skills for Success (1 S.H.)
A course that reinforces students’ algebraic and trigonometric skills in the context of Calculus I. Intended to be taken concurrently with the instructor’s Calculus I course; students’ abilities with algebra and trigonometry are improved upon as they are needed in the calculus. Prerequisite: Concurrent enrollment in instructor’s section of MATH 160 or instructor’s permission.
166 - Calculus Companion II: Toward Your Continued Success (1 S.H.)
Provides students with increased ability with topics of Calculus I as these are required in the development of Calculus II. Instruction is given in applying the methods of calculus to new material as introduced in the second semester of calculus. Prerequisite: Concurrent enrollment in instructor’s section of MATH 165 or instructor’s permission.
210 - Foundations of Mathematics (4 S.H.)
Introductory discrete mathematics including symbolic logic, elementary number theory, sequences, sets, relations, functions, and recursion. Valid and invalid argument forms are studied, and direct and indirect methods of proof are introduced. Prerequisite: MATH 110 or MATH 120 or MATH 150.
260 - Multivariable Calculus (4 S.H.)
Multivariable functions and vector functions are studied as the concepts of differential and integral calculus are generalized to surfaces and higher dimensions. Topics include vectors, parametric equations, cylindrical and spherical coordinates, partial and directional derivatives, multiple integrals, line and surface integrals, and the theorems of Green, Gauss, and Stokes. Prerequisite: MATH 165.
270 - Differential Equations and Linear Algebra (4 S.H.)
Solution techniques for ordinary differential equations including boundary/initial value problems and systems of first-order equations. Topics include linear homogeneous and non-homogeneous differential equations and the Laplace transform. Methods of linear algebra are studied as they apply to the solution of differential equations. Prerequisite: MATH 165.
280 - Special Topics (1-3 S.H.)
Exposure to lower-division mathematical topics not included in other courses. Prerequisite: Determined by topics. Offered on demand.
305 – Probability (3 S.H)
Introduction to basic ideas and fundamental laws of probability. Topics include an introduction to combinatorics, probability axioms, conditional probability, discrete random variables, common discrete distributions, expectation, generating functions, limit theorems, and continuous random variables. Prerequisites: MATH 160 and MATH 210, or instructor’s permission.
310 - Number Theory (3 S.H.)
A study of primes, divisibility, congruences, number-theoretic functions, and diophantine equations. Prerequisites: MATH 165 and MATH 210. Offered spring semester.
315 - Chaos Theory (3 S.H.)
An introduction to chaos theory and fractal geometry. Topics will include bifurcations, Julia sets, the Mandelbrot set, fractal geometry, iterated function systems, and a survey of the applications of this theory to a variety of disciplines. Prerequisite: MATH 160. Offered spring semester.
320 - Theory of Functions of a Complex Variable (3 S.H.)
The calculus of functions of a complex variable including differentiability, analyticity, and integration. Additional topics include the residue theorem. Prerequisite: MATH 260. Offered on demand.
330, 335 - Advanced Calculus I, II (4 S.H. Each)
A systematic approach to the theory of differential and integral calculus for functions and transformations in several variables. Prerequisites: MATH 210 and MATH 260.
340 - Advanced Linear Algebra (3 S.H.)
A continuation of MATH 130 with emphasis on more general vector spaces. Additional topics include linear transformations, inner product spaces, eigen-systems, diagonalization of matrices, and canonical forms. Prerequisite: MATH 130 or MATH 270 or instructor’s permission. Strongly recommended: Completion of MATH 160 and MATH 165 prior to enrollment. Offered spring semester.
410 - History of Mathematics (3 S.H.)
General view of the historical development of the elementary branches of mathematics. Prerequisites: MATH 160 and MATH 210. Offered spring semester.
420 - Numerical Analysis (4 S.H.)
Numerical solution of equations, numerical interpolation, differentiation, and integration, numerical linear algebra, numerical solution of differential equations with analysis and use of algorithms and related software. Prerequisites: CS 231 or CS 234 and MATH 260. Offered alternate fall semesters.
430 - Operations Research: Linear Programming (3 S.H.)
An introduction to linear programming, including the simplex method. Other topics chosen from duality, sensitivity analysis, and the transportation and assignment problems. Prerequisite: One calculus course. Recommended: One linear algebra course. Offered alternate fall semesters.
435 - Operations Research: Modeling (3 S.H.)
This course emphasizes mathematical model building: problem identification and model construction. Topics chosen from among network flow analysis, nonlinear mathematical programming, queuing theory, simulation, integer programming, and Markov chains. Prerequisite: One calculus course. Recommended: One course in probability and statistics and more than one course in calculus. Offered on demand.
440 - Abstract Algebra (4 S.H.)
Axiomatic development of groups, rings, and fields. Prerequisite: MATH 210. Offered fall semester.
450 - Introduction to Topology (3 S.H.)
A study of indexed families of sets, mappings, diagrams, continuity, neighborhoods, limit points, open and closed sets. Prerequisites: MATH 165 and MATH 210. Offered on demand.
460 - Real Analysis (3 S.H.)
Measurable sets, measurable functions, and the theory and methods of Lebesgue integration. Additional topics at the instructor’s discretion, e.g., summability, L theory of Fourier series, orthogonal expansions in L, famous theorems of analysis. Prerequisite: MATH 330. Offered on demand.
470 - Math Projects (1-4 S.H.)
Practical experience in working on real problems or research under the supervision of a faculty member. Prerequisite: Instructor’s permission. Offered on demand.
480 - Special Topics (1-3 S.H.)
Exposure to mathematical topics not included in other courses. Prerequisite: Determined by topics. Offered on demand.
490 - Independent Problems in Mathematics (1-4 S.H.)
An opportunity to continue study of selected topics. Prerequisite: Instructor’s permission. Offered on demand.

MATHEMATICS EDUCATION (MTED)
125 - Mathematics for Elementary Teachers (4 S.H.)
The study of concepts and properties of operations essential to mathematics in the elementary and middle school grades. Prerequisite: Completion of basic skills mathematics (MATH) requirement.
201 - Technology-Based Geometry and Probability for Elementary Teachers (4 S.H.)
The study of geometry using technology and probability topics essential to mathematics in the elementary and middle school grades. Prerequisite: MTED 125.
221 - Middle School Methods in Mathematics (1 S.H.)
Organization and methods of teaching mathematics in the middle school, including a 10-hour field experience. Prerequisite: MATH 160 or MTED 125.
289 - Special Topics (1-3 S.H.)
Exposure to lower-division mathematics education topics not included in other courses. Prerequisite: Determined by topics. Offered on demand.
290 - Independent Problems in Mathematics Education (1-3 S.H.)
An opportunity to study selected lower-division topics in mathematics education. Prerequisite: Instructor’s permission. Offered on demand.
320 - Teaching Mathematics in the Secondary Schools (3 S.H.)
This course is designed to inform the prospective secondary mathematics teacher about current trends and issues in the teaching of mathematics. It also focuses on instructional techniques and development of appropriate materials for the classroom. The course includes a 30-hour field experience component at the secondary level. Prerequisites: MATH 165, MATH 210, and MTED 221. Offered fall semester.
322 - Modern Geometry (4 S.H.)
This course is designed to give the prospective teacher of secondary school geometry an exposure to the concepts of non-Euclidean geometries, their relation to, and their impact on secondary school geometry. Teaching methodology and related items will be incorporated throughout the course. Prerequisites: MATH 165 and MATH 210. Offered spring semester.
420 - Technology and Professional Development in the Secondary Schools (3 S.H.)
This course incorporates the use of technology in the teaching of mathematics, research in mathematics education, and professional development as a teacher of mathematics. Students are required to make a public presentation and attend a professional meeting. Prerequisites: MTED 320 and MTED 322. Offered fall semester.
489 - Special Topics (1-3 S.H.)
Exposure to mathematics education topics not included in other courses. Prerequisite: Determined by topics.
490 - Independent Problems in Mathematics Education (1-4 S.H.)
An opportunity to continue study of selected topics in mathematics education. Prerequisite: Instructor’s permission.

STATISTICS (STAT)
110 - Fundamentals of Statistics (3 S.H.)
Introductory statistics with emphasis on applications. Note: Students in certain majors should take STAT 210 instead of STAT 110. Prerequisite: Qualifying score on the mathematics placement exam or MATH 050.
115 - Laboratory in Statistics (1 S.H.)
This course will provide experience in collecting data, analyzing data, and writing statistical reports. Students will study statistical concepts through activities and projects which involve collecting and analyzing data. Techniques for summarizing, analyzing and interpreting large sets of data will also be discussed. Emphasis will be on practical problem-solving with real data sets using appropriate computer software packages. Prerequisite: Completion of any introductory statistics course or instructor’s permission.
210 - Statistics (3 S.H.)
First course in statistics for students with a strong mathematics background. Prerequisites: MATH 140 or MATH 160.
250 - Actuarial Exam Preparation (2 S.H.)
This is an independent study course designed to help students with actuarial exam preparation. Students enrolled in this course are required to take the appropriate exam at the date nearest completion of this course. Course cannot be applied toward fulfilling major or minor program requirements. Prerequisite: Instructor’s permission. Offered on demand.
255 - Data Management Using SAS (3 S.H.)
An introduction to the statistical package SAS. The course will focus on DATA step programming and selected basic PROC routines, with an introduction to SAS/GRAPH if time permits. Prerequisite: STAT 110 or equivalent. Offered spring semester.
289 - Special Topics (1-3 S.H.)
Exposure to lower-division statistical topics not included in other courses. Prerequisite: Determined by topics. Offered on demand.
290 - Independent Problems in Statistics (1-4 S.H.)
Exposure to statistical topics not included in other courses. Prerequisite: Instructor’s permission. Offered on demand.
303 - Introduction to Engineering Statistics (3 S.H.)
Introduction to statistics and quality control concepts and techniques. Topics include graphical techniques, descriptive statistics, probability distributions, hypothesis testing, control charts, process capability studies, and additional topics in total quality management. Note: Credit will not be given for both STAT 210 and STAT 303. Prerequisite: MATH 160. Offered fall semester.
305 - Biometry (3 S.H.)
An introductory course of statistical applications to the biological sciences. Data reduction, sampling, techniques of estimation, hypothesis testing, and model verification procedures are included. Diversity indices, techniques of species sampling, and other specific biometric methods will be covered. Prerequisite: MATH 120 or MATH 150 or instructor’s permission. Note: MATH 305 cannot be used as a MATH or STAT elective for mathematics, mathematics education, or statistics majors.
310 - Intermediate Statistics (3 S.H.)
A second course in statistics covering regression, measures of association, and analysis of variance. Interpretation of computer output and applications will be emphasized throughout. Prerequisites: STAT 110, STAT 210, STAT 303, STAT 305, PSY 231 or equivalent. Credit will not be given for STAT 310 if the student has completed STAT 360 or STAT 365.
320 - Statistical Quality Control (3 S.H.)
An introduction to the basic philosophy of quality control and statistical tools used in quality control. Tools to include control charts, Ishikawa fishbone charts, Pareto charts, histograms, stem-and-leaf plots, and dot plots. There will be industrial case studies and tours of local industries (when available). Prerequisite: An introductory statistics course (preferably STAT 210). Offered alternate fall semesters.
321 - Industrial Design of Experiments I (3 S.H.)
An introduction to applications of statistical methods used by industrial researchers to aid in the solution of certain types of industrial problems. Methods to include analysis of means, analysis of variance, factorial designs, fractional factorial (screening) designs. There will be industrial case studies and actual (hands-on) experience at local industries (when available). Prerequisite: An introductory statistics course (preferably STAT 210 or STAT 303). Offered spring semester.
322 - Industrial Design of Experiments II (3 S.H.)
A second course in experimental design methods in industry. Topics may include empirical model building, review of factorial and fractional factorial designs, process improvement with steepest ascent, analysis of response surfaces, experimental designs for fitting response surfaces, Taguchi’s robust parameter designs, experiments with mixtures. Prerequisite: STAT 321 or instructor’s permission. Offered on demand.
350 - Design of Samples and Surveys (3 S.H.)
Practical problems of surveys. Design of optimal surveys. Questionnaire design. Practical problems of sampling. Design of optimal sampling procedures. Adapting standard statistical techniques to specialized sampling design. Prerequisite: An introductory statistics course (preferably STAT 210). Offered fall semester.
355 - Nonparametric Statistics (3 S.H.)
Statistical methods based on runs, the empirical distribution function and ranks. Topics will include one and two sample tests, ANOVA, goodness of fit tests, rank regression, correlation, and confidence intervals. Both applications and theory emphasized. Prerequisite: STAT 110 or STAT 210. Offered on demand.
360 - Regression Analysis (3 S.H.)
Simple linear regression, multiple regression, hypothesis testing, analysis of residuals, stepwise regression. Interpretation of computer output will be emphasized. Prerequisite: An introductory statistics course (preferably STAT 210 or STAT 305). Completion of or concurrent enrollment in MATH 130 or MATH 270 is recommended. Offered fall semester.
365 - Experimental Design and Analysis (3 S.H.)
One-way Analysis of Variance, planned comparisons, post-hoc procedures, two- and three-way Analysis of Variance, experimental design, Analysis of Covariance. Interpretation of computer output will be emphasized. Prerequisite: An introductory statistics course (preferably STAT 210 or STAT 305). Completion of, or concurrent enrollment in MATH 130 or MATH 270, is recommended; completion of STAT 360 is also recommended. Offered spring semester.
405 - Biostatistics (3 S.H.)
This course will give students an overview of Biostatistics. The topics to be covered include contingency tables analysis, relative risk, odds ratios, partial association, Cochran-Mantel-Haenszel methods, two-way ANOVA, interactions, repeated measures, logistic regression, Poisson regression, Kaplan-Meier methods, and Cox proportional hazards models. Parametric methods and various nonparametric alternatives will be discussed. Prerequisite: An introductory statistics course (preferably STAT 210 or STAT 305). Offered alternate fall semesters.
415 - Multivariate Analysis (3 S.H.)
Statistical analysis of multivariate data. Topics will include preparation of data for analysis, selection of techniques appropriate to research questions, measures of association for continuous and discrete variables, Hotelling’s T, MANOVA, MANCOVA, discriminant analysis, principal component and factor analysis. This is a computer-oriented course with emphasis on application. Prerequisites: MATH 130 or MATH 270, STAT 360 or instructor’s permission. Offered alternate spring semesters.
425 - Modern Methods of Data Analysis (3 S.H.)
An introduction to the use of the computer as a powerful tool in data analysis. Topics will include statistical graphics, advanced regression techniques, curve fitting and smoothing, generalized additive models, CART, multivariate techniques, cross-validation and the bootstrap. Additional topics that may be covered are random number generation and Monte Carlo simulation methods. Prerequisites: MATH 165 and STAT 360. Offered alternate spring semesters.
440 - Epidemiology (3 S.H.)
A general introduction to the concepts and methods of epidemiology as they are applied in a variety of disease situations. Topics include modeling the disease process in a population; retrospective, prospective, and observational studies; rates, ratios, and data interpretation; and evaluation of epidemiological information. Prerequisite: An introductory statistics course. Offered on demand.
450, 460 - Introduction to Mathematical Statistics I, II (3 S.H. Each)
A mathematical approach to probability and statistics. Prerequisites: MATH 260 and completion of or concurrent enrollment in MATH 220. Offered yearly as a fall/spring sequence.
488 - Statistics Projects (1-6 S.H.)
Practical experience working on real problems under the supervision of a faculty member experienced in statistics. Prerequisite: Instructor’s permission. Offered on demand.
489 - Special Topics (1-3 S.H.)
Exposure to statistical topics not included in other courses. Prerequisite: Determined by topics. Offered on demand.
490 - Independent Problems in Statistics (1-4 S.H.)
An opportunity for continued study of selected topics. Prerequisite: Instructor’s permission. Offered on demand.
492 - Practicum in Statistics (3-6 S.H.)
Provides the student with experience and training in statistical techniques. The student will work a minimum of 100 hours (3 credits) or a minimum of 200 hours (6 credits) on a job utilizing statistics. Prerequisite: Instructor’s permission. P/NC only. Offered on demand.