MATHEMATICS AND STATISTICS
Mathematics Major
Mathematics Minor
Course Descriptions
Gildemeister Hall, Room 322 (507) 457-5370
www.winona.edu/mathematics
Jeffrey Anderson (Chairperson)
FACULTY
Jeffrey Anderson, Professor; B.A., University of Minnesota, Morris; Ph.D., Iowa State University; 1992 -
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 -
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 -
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 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 145 for suggested electives.
- Quality Control. 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 145 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 145 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 are to complete a thesis, which is reviewed by two departmental faculty readers, to attend departmental colloquia and seminars, and to present a summary of the thesis in a departmental seminar.
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:
FLAG
MATHEMATICS
Oral I
MATH 410 History of Mathematics (3)
Math/Critical Analysis O
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 P
MATH 330 Advanced Calculus I (4)
MATH 440 Abstract Algebra (4)
MATHEMATICS EDUCATION
Oral I
MTED 420 Teaching Mathematics in the Secondary Schools II (3)
Math/Critical Analysis O
MTED 125 Mathematics for Elementary Teachers (4)
MTED322 Modern Geometry (4)
Writing P
MTED320 Teaching Mathematics in the Secondary Schools I (3)
STATISTICS
Oral I
STAT 415 Multivariate Analysis (3)
STAT 425 Modern Methods of Data Analysis (3)
Math/Critical Analysis O
STAT 255 Data Management Using SAS (3)
STAT 320 Statistical Quality Control (3)
Writing P
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 (12 S.H.)
| |
MATH |
160 |
Calculus I (4) |
| |
MATH |
165 |
Calculus II (4) |
| O |
MATH |
260 |
Multivariable Calculus (4) |
Matrix Algebra and Applications (3-4 S.H.)
| |
MATH |
130 |
Matrix Algebra (3) -OR- |
| O |
MATH |
270 |
Differential Equations & Linear Algebra (4) |
Introduction to Theoretical and Discrete Mathematics (7 S.H.)
| |
MATH |
210 |
Foundations of Mathematics (4) |
| O |
MATH |
220 |
Combinatorics and Graph Theory (3) |
Statistics (3 S.H.)
| STAT |
210 |
Statistics (3) -OR- |
| STAT |
303 |
Introduction to Engineering Statistics (3) -OR- |
| STAT |
305 |
Biometry (3) |
B.A. MAJOR - MATHEMATICS (MATH) 38-39 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 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.
Students must earn a grade of “C” or higher in all required departmental courses.
DEPARTMENTAL CORE (25-26 S.H.)
With the advisor's approval, students may use an additional elective course to substitute for MATH 220. Mathematics majors are strongly advised to select MATH 270 (Differential Equations and Linear Algebra).
MATHEMATICS (8 S.H.)
P MATH330 Advanced Calculus I (4)
P MATH440 Abstract Algebra (4)
ELECTIVES (5 S.H.)
Choose 5 S. H. of elective coursework from courses numbered MATH 310 and above or STAT 320 and above.
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:
- Complete all courses required for the major.
- Earn a grade of “C” or better and achieve a minimum of 2.75 GPA in all MATH, MTED, and STAT courses required for the major.
- 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 22.
DEPARTMENTAL CORE (25-26 S.H.)
REQUIRED COURSES (26 S.H.)
Mathematics (14 S.H.)
| O |
MATH |
310 |
Number Theory (3) |
| P |
MATH |
330 |
Advanced Calculus I (4) |
| I |
MATH |
410 |
History of Mathematics (3) |
| P |
MATH |
440 |
Abstract Algebra (4) |
Mathematics Education (11 S.H.)
| P |
MTED |
320 |
Teaching Math in the Secondary Schools I (3) |
| O |
MTED |
322 |
Modern Geometry (4) |
| I |
MTED |
420 |
Teaching Math in the Secondary Schools II (3) |
| |
MTED |
421 |
Middle School Methods in Mathematics (1) |
Statistics (1 S.H.)
STAT 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.
ADDITIONAL COURSEWORK (38 S.H.)
Students in the Mathematics: Secondary Teaching major must also complete the courses listed below:
I. The 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) |
| O |
EDUC |
312 |
Instructional Planning and Assessment: Secondary (3) |
| |
EDUC |
429 |
Secondary Reading and Teaching Strategies (4) |
| P |
EDUC |
449 |
Middle Level Philosophy, Organization andInterdisciplinary Planning (3) |
| P |
EDUC |
459 |
The Professional Educator (3) |
| I |
EDUC |
465 |
Student Teaching (12-16) |
II.
HERS 204 Personal and Community Health (3) (Also fulfillsUniversity 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)
55-56 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) |
| STAT |
360 |
Regression Analysis (3) |
| PSTAT |
450 |
Introduction to Mathematical Statistics I (3) |
| PSTAT |
460 |
Introduction to Mathematical Statistics II (3) |
Three of the following six courses:
| |
STAT |
350 |
Design of Sample & Surveys (3) |
| |
STAT |
355 |
Nonparametric Statistics (3) |
| |
STAT |
365 |
Experimental Design & Analysis (3) OR STAT 321 Industrial Design of Experiments (3) |
| |
STAT |
405 |
Biostatistics (3) |
| I |
STAT |
415 |
Multivariate Analysis (3) |
| I |
STAT |
425 |
Modern Methods of Data Analysis (3) |
ELECTIVES (11 S.H.)
In consultation with an advisor, students should choose courses numbered MATH 310 and above or STAT 320 and above. Students may also choose classes with a significant mathematical/statistical component offered outside the department; however, the courses must be approved by the Department of Mathematics and Statistics. Students may count one of the following Computer Science courses as an elective:
| CS |
231 |
FORTRAN for Engineering and Science (3) |
| CS |
234 |
Algorithms and Problem Solving I (4) |
| CS |
250 |
Algorithms and Problem Solving II (4) |
| CS |
298 |
UNIX and C Programming (3) |
| CS |
368 |
Introduction to Bioinformatics (3) |
| CS |
385 |
Applied Database Management Systems (3) |
Students may also count STAT 255 and FIN 335 as electives.
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 that 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, 220, and 260
STAT 210, 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
- ECON201 Principles of Microeconomics (3)
- ECON202 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 Control
Mathematics/Statistics majors who are interested in the area of quality control 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:
Mechanical 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 320-322
Six Sigma Black Belt: STAT 110 or 210 or 303, STAT 320-322
Quality Manager: STAT 110 or 210 or 303, STAT 320, STAT 350
Reliability Engineer: MATH 140 or 160, 220, STAT 110 or 210or 303, STAT 320-322
Biostatistics
It is recommended that students interested in biostatistics take some biology and health science courses and the following department offerings:
| |
STAT |
405 |
Biostatistics (3) |
| O |
STAT |
255 |
Data Management Using SAS (3) |
B.A. MINOR - MATHEMATICS (MATH) 22-23 S.H.
The Departmental Core (minus MATH 220) is the B.A. minor in mathematics.
B.S. MINOR - MATHEMATICS: EDUCATION OPTION (MTED)† 26 S.H.
REQUIRED COURSES (26 S.H.)
Mathematics (15 S.H.)
| MATH130 |
Matrix Algebra (3) |
| MATH160, 165 |
Calculus I, II (8) |
| MATH210 |
Foundations of Mathematics (4) |
Mathematics Education (8 S.H.)
| P |
MTED320 |
Teaching Mathematics in the Secondary Schools (3) |
| O |
MTED322 |
Modern Geometry (4) |
| |
MTED421 |
Middle School Methods in Mathematics (1) |
Statistics (3 S.H.)
STAT 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- |
| O |
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- |
| O |
BUSA |
220 |
Business Statistics (3) -OR- |
| O |
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 321Industrial Design of Experiments I (3) |
| I |
STAT |
415 |
Multivariate Analysis (3) |
| I |
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
| O |
MATH |
220 |
Combinatorics and Graph Theory (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) |
| ‡I |
STAT |
415 |
Multivariate Analysis (3) |
| ‡I |
STAT |
425 |
Modern Methods of Data Analysis (3) |
| P |
STAT |
450 |
Mathematical Statistics I (3) |
| P |
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 320 (6)
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 (5), 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 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; applications. Prerequisite: MATH 050 or mathematics placement. Offered every semester.
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 050.
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 or MATH 120.
150-Modeling using Precalculus and Statistics, 155-Calculus BasedModeling (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 050. 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.
220 - Combinatorics and Graph Theory (3 S.H.)
Combinatorics topics will include permutations, combinations, multisets, sequences, generating functions, inclusion-exclusion, and recursion. Combinatorics topics will focus on applications in probability. Graph theory topics will include planarity, transversibility, trees, and directed graphs. Prerequisites: MATH 110 or MATH 120 or MATH 150 or sufficient score on the Calculus Readiness Mathematics Placement Exam. Offered each semester.
260 - Multivariable Calculus (4 S.H.)
A continuation of MATH 165. Partial differentiation and multiple integration are studied. 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.
310 - Number Theory (3 S.H.)
A study of primes, divisibility, congruences, number-theoretic functions, and diophantine equations. Prerequisite: 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. Prerequisite: 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 alternate spring semesters (next offered Spring 2008).
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. Prerequisite: CS 231 or CS 234 and MATH 260. Offered alternate fall semesters (next offered Fall 2007).
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 (next offered Fall 2006).
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 alternate spring semesters.
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 Other Essential Mathematics for Elementary Teachers (4 S.H.)
Study of additional mathematical topics essential to mathematics in the elementary and middle school grades including Euclidean geometry. Prerequisite: 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 I (3 S.H.)
Organization and methods of teaching mathematics in the secondary school. The course includes a Teaching Assistantship experience. (Approximately 30 additional hours.) Prerequisites: MATH 165, MATH 210 and EDUC 305. Offered spring 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 - Teaching Mathematics in the Secondary Schools II (3 S.H.)
The course is an extension of MTED 320 with emphasis on appropriate uses of technology, teaching strategies, assessment, learning theory related to mathematics and research on current issues in mathematics education. A public presentation and field experience are required. Prerequisite: MTED 320. Offered fall semester.
421 - Middle School Methods in Mathematics (1 S.H.)
Organization and methods of teaching mathematics in the middle school, including a ten-hour field experience. Prerequisite: MATH 210 or MTED 125.
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. Prerequisites: 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 fall 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 fall semester.
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). 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. Prerequisites: An introductory statistics course (preferably STAT 210) and MATH 120. 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. Prerequisites: An introductory statistics course (preferably STAT 210) and MATH 120 and 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. Prerequisites: An introductory statistics course (preferably STAT 210) and MATH 120. STAT 360 is 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. Prerequisites: 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. Prerequisite: MATH 260 and completion of or concurrent enrollment in MATH 220. Offered yearly as a fall/spring sequence.
455 - Stochastic Processes (3 S.H.)
An introduction to stochastic processes. Topics will include underlying probability theory, random variables, conditioning, Markov chains, exponential distribution, and Poisson processes. Both applications and theory will be emphasized. Prerequisite: STAT 450. Offered on demand.
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.
Last Modified: Friday, April 20, 2007 13:58 by Lori Beseler
