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History |
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HIST 151 United States History I Credits: (3-0) 3
Surveys the background and development of the United States from its colonial origins to the Civil War and Reconstruction.
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HIST 152 United States History II Credits: (3-0) 3
Surveys development of the United States since the Civil War and Reconstruction.
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HIST 492 Topics Credits: 1 to 4
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: May be repeated once for credit when the topic is different and with the permission of department head.
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Humanities |
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HUM 100 Introduction to Humanities Credits: (3-0) 3
This interdisciplinary course introduces students to humanistic knowledge, inquiry, and values by focusing on connections among humanities disciplines (such as art, languages, literature, music, philosophy, and religion).
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HUM 200 Connections: Humanities & Technology Credits: (3-0) 3
A thematic approach to human values stressing the relationship between technology and the humanities; traces the development and social impact of our major technologies.
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HUM 291 Independent Study Credits: 1 to 4
Includes directed study, problems, readings, directed readings, special problems and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends upon the requirements of the topic.
Prerequisites: Permission of instructor.
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HUM 292 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: A maximum of 6 credits of special topics will be allowed for degree credit.
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HUM 350 American Social History Credits: (3-0) 3
A study of lives, customs, and beliefs of ordinary Americans, using fiction and nonfiction from various periods.
Prerequisites: Junior or senior standing.
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HUM 375 Computers in Society Credits: (3-0) 3
Examines the social impact of computers with emphasis on the development of computer establishment, the cultural blueprint being shaped for the future, and the question of values and social responsibility in personal, business, and governmental sectors.
Prerequisites: Junior or senior standing.
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HUM 491 Independent Study Credits: 1 to 4
Includes directed study, problems, readings, directed readings, special problems and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends upon the requirements of the topic.
Prerequisites: Permission of instructor.
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HUM 492 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: A maximum of 6 credits of special topics will be allowed for degree credit.
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Industrial Engineering |
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IENG 215 Cost Estimating for Engineers I Credits: (1-0) 1
This course covers the fundamentals of financial statements and analysis. Topics include the structure of accounts, the balance sheet, the income statement, changes in owner equity, statement of cash flows, and analysis of financial statements to determine the financial health of the business entity.
Prerequisites: MATH 123
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IENG 216 Cost Estimating for Engineers II Credits: (1-0) 1
This course covers the fundamentals of building the operational budgets needed for modern industrial practice. Topics include sales forecasting, sales budget, production budget, material budget, direct labor budget, factory overhead, cost-of-goods sold, and budget variances.
Prerequisites: MATH 123
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IENG 217 Cost Estimating for Engineers III Credits: (1-0) 1
This course covers the fundamentals of cost accounting and cost estimating. Topics include estimation of factory overhead, operation estimating, product estimating, job order costing, process costing, and activity based costing.
Prerequisites: MATH 123
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IENG 241L Introduction to Quality Methods and Teaming Credits: (0-2) 2
Quality improvement methods, team processes, and related ways of thinking are introduced. Students will be exposed to the data collection and analysis tools often used for quality improvement across multiple disciplines. Laboratory activities involve teams and team processes including decision making, communications, and customer relations. This course meets the quality requirement for the six-sigma greenbelt certificate.
Prerequisites: Sophomore standing or permission of instructor.
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IENG 301 Basic Engineering Economics Credits: (2-0) 2
Introduces the concepts of economic evaluation regarding capital investments, including the time value of money and income tax effects.
Prerequisites: Junior or higher standing preferred.
Notes: Graduation credit cannot be given for both IENG 301 and IENG 302 .
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IENG 302 Engineering Economics Credits: (3-0) 3
Studies economic decision making regarding capital investment alternatives. Covers compound interest and depreciation models, replacement and procurement models. Analysis is made variously assuming certainty, risk and uncertainty.
Prerequisites: Junior or higher standing preferred.
Notes: Graduation credit cannot be given for both IENG 301 and IENG 302.
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IENG 311/311L Work Methods and Measurements/Lab Credits: (2-1) 3
This course presents the underlying theory and basic methodology for work methods and measurement techniques. Emphasis is placed on knowledge of the basis for selection of a technique appropriate for individual as related to the task to be performed.
Corequisites: IENG 311L
Pre or Corequisites: IENG 381 or MATH 381
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IENG 321/321L Ergonomics/Human Factors Engineering/Lab Credits: (2-1) 3
Topics covered include: engineering anthropometry, workplace design, biomechanical modeling, work kinesiology and musculoskeletal disorders, cognitive engineering, and office ergonomics.
Prerequisites: PSYC 101 or permission of instructor.
Corequisites: IENG 321L
Pre or Corequisites: MATH 281 or IENG 381 /MATH 381 or higher statistics.
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IENG 331 Safety Engineering Credits: (3-0) 3
Overview to the field of Safety Engineering emphasizing quantitative problem solving. Will draw on fundamental knowledge from the fields of chemistry, physics, mechanics, mathematics, and statistics. Contents: fundamental concepts and terminology, injury and accident statistics, ethics, certification, regulations, standards, hazards and their control, and management aspects.
Prerequisites: Junior or senior standing.
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IENG 345 Entrepreneurship Credits: (4-0) 4
Covers topics on the legal aspects, management skills, business plans, and sources of capital as well as case studies of successful and unsuccessful entrepreneurial initiatives.
Prerequisites: ACCT 211 and IENG 301 or IENG 302 or permission of instructor.
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IENG 352 Creativity and Innovation Credits: (1-0) 1
This course focuses on the Herrmann Whole Brain model and creative thinking to strengthen team processes and the tools necessary for product and process innovations. Students will receive an exposure to the whole brain model and to a variety of problems that will require more creative and innovative thought processes to solve the problem.
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IENG 353 Commercialization of New Technology Credits: (1-0) 1
This course provides the students with an understanding of the intellectual property considerations for new innovations as well as how to adapt new technologies for commercialization in the market place. Topics include patents, trademarks, copyrights, trade secrets, technology transfer, SBIR, and STTR. This course is required for the Technology Innovation certificate program.
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IENG 354 Marketing Technology Innovations Credits: (1-0) 1
This course introduces the student to the tools and strategies needed to understand the voice of the customer and provides the rudiments of a marketing plan for commercialization of new or innovative technologies. Topics include environmental analysis, diffusion of technology and innovations, early adopters, and market research strategies.
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IENG 355 Financing Technology Innovations Credits: (1-0) 1
Beginning with technology business forecasts, this course develops the sales budget, production budget, material budget, overhead expenses, and cash flow budgets in sequence. Proforma income and balance sheets are then derived from these budgets. Sources of capital during different stages of the technology life cycle are also covered. This course is required for the Technology Innovation certificate.
Prerequisites: IENG 215 and IENG 216 or ACCT 210 or ACCT 406 or ENGM 661
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IENG 356 Technology Start Ups Credits: (1-0) 1
This course presents timing and innovation to be considered during the early stages of the technology life cycle and provides the basis for the development of a business plan. Topics include technology and innovation strategies, dimensions of technological innovations, new technology ventures, corporate new ventures, organizational structures, and elements of a business plan.
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IENG 362 Stochastic Models Credits: (3-0) 3
This course covers stochastic models in operations research and is a complementary course to MATH 353 . Topics include queuing theory, Markov chains, Pert/CPM, decision theory, dynamic programming and inventory control models.
Prerequisites: IENG 381 /MATH 381 or permission of instructor.
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IENG 366 Engineering Management Credits: (3-0) 3
A course designed to acquaint the student with engineering management discipline through the formation and operation of business and industrial enterprises. In addition to engineering management decision tools, students will be exposed to emergent trends in learning organizations, systems thinking, change management, and processes utilizing all four quadrants of Herrmann Whole Brain model for advanced problem solving.
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IENG 381 Introduction to Probability and Statistics Credits: (3-0) 3
Introduction to probability theory, discrete and continuous distributions, sampling distributions and the central limit theorem with general principles for statistical inference.
Prerequisites: MATH 125
Pre or Corequisites: MATH 225
Notes: This course is cross listed with MATH 381 . Individuals may apply at most 4 credits toward a degree from the following lists of courses: MATH 281 , IENG 381/MATH 381 , MATH 442 .
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IENG 382 Probability Theory and Statistics II Credits: (3-0) 3
Review of general principles for statistical inference, linear regression and correlation, multiple linear regression, ANOVA, and statistical design of experiments.
Prerequisites: IENG 381 /MATH 381
Notes: This course is cross listed with MATH 382 .
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IENG 425 Production and Operation Management Credits: (3-0) 3
Management of the production environment. Topics such as bills of materials, inventory control, production control, production scheduling and MRP will be discussed. The impact of production management on the design process and how products can be designed for better manufacture.
Prerequisites: MATH 123 ; IENG 381 /MATH 381 or BADM 221
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IENG 431/531 Industrial Hygiene Credits: (3-0) 3
Principles of industrial hygiene, including the identification and evaluation of chemical, physical, and biological agents which affect the health and safety of employees; the application of control measures for the various agents; and study of threshold limit values and occupational health toxicology.
Prerequisites: Senior or graduate standing or permission of instructor.
Notes: Students enrolled in IENG 531 will be held to a higher standard than those enrolled in IENG 431.
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IENG 441 Simulation Credits: (3-0) 3
Development of computer simulation models of real or conceptual systems. Interpretation of results of computer simulation experiments.
Prerequisites: IENG 381 /MATH 381 or MATH 442
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IENG 451/451L Operational Strategies/Lab Credits: (2-1) 3
Review of philosophies, systems, and practices utilized by world-class organizations to meet current operational challenges. Focuses include “lean production” in the manufacturing industries, including material flow, plant-floor quality assurance, job design, work and management practices as well as the most effective practices in the service industries. Students complete lab projects and tour organizations to analyze the extent and potential of the philosophies.
Prerequisites: Junior standing or permission of instructor.
Corequisites: IENG 451L
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IENG 452 Introduction to Six Sigma Credits: (1-0) 1
This course introduces students to the philosophy of Six Sigma. Topics include the history of Six Sigma and the Six Sigma problem solving methodology.
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IENG 461 Six Sigma Greenbelt Exam Credits: (1-0) 1
This self-paced, pass/fail course culminates in a written exam. Passing this exam is necessary component of the Six Sigma Greenbelt Certification.
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IENG 462 Industrial and Engineering Management Profession Credits: (1-0) 1
This course covers professional aspects of the industrial engineering and engineering management professions including personal, professional, and ethical development as well as professional practice.
Prerequisites: Senior standing or permission of instructor.
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IENG 463 Six Sigma Greenbelt Project Credits: (1-0) 1
Taken in conjunction with another course requiring a project, students in this course will use the Six Sigma problem solving philosophy in the completion of the project. Students will then document how they used the Six Sigma process and the results of the project in a written report.
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IENG 464 Senior Design Project I Credits: (0-2) 2
Small groups of students work on original design projects. Topics are solicited from local companies, hospitals, banks, mines, government agencies, thus providing students the opportunity to apply their knowledge and techniques to real problems in business and industry.
Prerequisites: Senior standing or graduation within three semesters.
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IENG 465 Senior Design Project II Credits: (0-3) 3
Small groups of students work on original design projects. Topics are solicited from local companies, hospitals, banks, mines, government agencies, thus providing students the opportunity to apply their knowledge and techniques to real problems in business and industry. As applicable, these are continuation projects started in IENG 464 .
Notes: Continuation of IENG 464 .
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IENG 466/566 Project Planning and Control Credits: (3-0) 3
Project planning, execution and control of less repetitive types of work. This includes quantitative aspects such as costs, time and performance specifications; and qualitative aspects such as organization structures, psychological and sociological relationships.
Prerequisites: PSYC 101 preferred.
Notes: Students enrolled in IENG 566 will be held to a higher standard than those enrolled in IENG 466.
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IENG 471 Facilities Planning Credits: (3-0) 3
Topics covered include: material handling, computerized layout planning, storage facilities, flexible manufacturing systems, and “Factory of the Future.”
Prerequisites: Senior standing or graduation within three semesters.
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IENG 475/475L Computer-Controlled Manufacturing Systems and Robotics Credits: (2-1) 3
Fundamental concepts of using computers in the design of a computer integrated, discrete-item, manufacturing facility are covered. Basic ideas of Computer Aided Design (CAD), Group Technology (GT), process planning, integrated production control and computer numerical control are covered. The manufacturability issues and concepts of selecting and using robots in the workplace are explored.
Prerequisites: Senior standing or permission of instructor.
Corequisites: IENG 475L
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IENG 479/579 Research Ethics Credits: (1-0) 1
This course introduces students to the ethical and professional issues involved in performing research. Topics include: human and animal subjects, research review boards, fiscal responsibilities and audits, and dealing with research teams.
Notes: Students enrolled in IENG 579 will be held to a higher standard than those enrolled in IENG 479.
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IENG 486 Statistical Quality and Process Control Credits: (3-0) 3
This course covers the development of statistical methods for application to problems in quality and process control. Statistical topics include: basics of processes and variability, statistically controlled processes, variable and attribute control charts, moving averages, individual trend and others, process capability, sampling plans for attributes and variables.
Prerequisites: IENG 281/MATH 281 or MATH 442 or permission of instructor.
Notes: This course is cross listed with MATH 486 .
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IENG 491 Independent Study Credits: 1 to 3
Includes directed study, problems, readings, directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends on the requirements of the topic.
Prerequisites: Permission of instructor.
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IENG 492 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is no wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
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Interdisciplinary Sciences |
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IS 110 Explorations Credits: (2-0) 2
This course will provide a theme-based interdisciplinary approach to studying the relationships between science and society. The course will consist of lectures, student-led activities, and field work, complemented by visiting lecturers and opportunities to gain regional, national, and global perspectives through organized trips.
Notes: This course cannot be counted for social science/humanities credit.
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IS 191 Independent Study Credits: 1 to 3
Includes directed study, problems, readings, directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends upon the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: This course cannot be counted for social science/humanities credit.
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IS 192 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is no wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: A maximum of 6 credits will be allowed for degree credit. This course cannot be counted for social science/humanities credit.
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IS 201 Introduction to Science, Technology, and Society Credits: (3-0) 3
Includes study of current issues within the IS specializations. Introduces students to how science and technology affect individual, societal, and global change (e.g., how science and technology influence ethical choices, the political and economic systems, and the relationship between humans and the natural world.)
Prerequisites: ENGL 101 , IS 110 and sophomore standing.
Notes: Required for all students seeking a B.S. in Interdisciplinary Sciences. This course cannot be counted as social science/humanities credit.
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IS 291 Independent Study Credits: 1 to 3
Includes directed study, problems, readings, directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends upon the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: This course cannot be counted for social science/humanities credit.
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IS 292 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is no wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: A maximum of 6 credits will be allowed for degree credit. This course cannot be counted for social science/humanities credit.
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IS 380 Internship in Interdisciplinary Studies Credits: 1 to 4
The opportunity for a student to complete a plan for an internship and thereby acquire practical job-related experience.
Prerequisites: Permission of instructor.
Notes: A maximum of 6 credits will be allowed for degree credit. This course cannot be counted for social science/humanities credit.
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IS 391 Independent Study Credits: 1 to 3
Includes directed problems, readings directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends on the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: This course cannot be counted for social science/humanities credit.
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IS 392 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is no wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: A maximum of 6 credits will be allowed for degree credit. This course cannot be counted for social science/humanities credit.
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IS 396 Field Experience Credits: (1-0) 1
Applied, monitored, and supervised field-based learning experience for which the student may or may not be paid. Students gain practical experience; they follow a negotiated and/or directed plan of study established by the student, instructor, and field-based supervisor. Due to the presence of a field experience supervisor, a lower level of supervision is provided by the instructor in these courses than is the case with an internship or practicum course.
Notes: This course cannot be counted for social science/humanities credit.
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IS 401 Writing and Research in the Interdisciplinary Sciences Credits: (3-0) 3
Advanced writing in the interdisciplinary sciences with emphasis on research and explanation of science topics in the IS specializations. This course provides students with a basic understanding of the various styles of science writing, including writing for popular and professional audiences, and the use of the library and/or laboratory research in formal research papers. This course is required for all students pursuing the B.S. degree in Interdisciplinary Sciences.
Prerequisites: IS 201 , ENGL 289 and senior standing.
Notes: This course is required for all students pursuing the B.S. degree in Interdisciplinary Sciences. This course cannot be counted as social science/humanities credit.
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IS 491 Independent Study Credits: 1 to 3
Includes directed study, problems, readings, directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends on the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: This course cannot be counted for social science/humanities credit.
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IS 492 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is no wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: A maximum of 6 credits will be allowed for degree credit. This course cannot be counted for social science/humanities credit.
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IS 498 Undergraduate Research/Scholarship Credits: (0-3) 3
Includes senior project, and capstone experience. Independent research problems/projects or scholarship activities. The plan of study is negotiated by the faculty member and the student. Contact between the two may be extensive and intensive. Does not include research courses which are theoretical.
Prerequisites: Senior standing, permission of instructor, an approved Letter of Intent on file in the Interdisciplinary Sciences Office and successfully completion of IS 401 .
Notes: This course is required for all students pursuing the B.S. degree in Interdisciplinary Sciences. This course cannot count as social science/humanities credit.
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IS 691 Independent Study Credits: 0.5 to 3
Includes directed study, problems, readings, directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meetings depending upon the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: This course cannot be counted for social science/humanities credit.
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IS 692 Topics Credits: 1 to 3
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is no wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: This course cannot be counted for social science/humanities credit.
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Mathematics |
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MATH 021 Basic Algebra Credits: (3-0) 3
This course prepares students for college level mathematics. Topics generally include: basic properties of real numbers, exponents & radicals, rectangular coordinate geometry, solutions to linear and quadratic equations, inequalities, polynomials, and factoring. Students may also be introduced to functions and systems of equations.
Prerequisites: Appropriate mathematics placement.
Notes: This is a remedial level course and no credit for MATH 021 will be granted for graduation.
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MATH 101 Intermediate Algebra Credits: (3-0) 3
Basic properties of real numbers, linear equations and inequalities, quadratic equations, systems of equations, polynomials and factoring, rational expressions and equations, and radical expressions and equations, and an introduction to functions such as polynomial, exponential and logarithmic functions.
Prerequisites: MATH 021 or appropriate mathematics placement.
Notes: May not be used for credit toward a baccalaureate degree, but may be used toward the associate degree.
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MATH 102 College Algebra Credits: (3-0) 3
Equations and inequalities; polynomial functions and graphs, exponents, radicals, binomial theorem, zeros of polynomials; systems of equations; exponential, logarithmic, and inverse functions, applications and graphs. Other topics selected from sequences, series, and complex numbers.
Prerequisites: MATH 101 with a minimum grade of “C” or appropriate mathematics placement.
Corequisites: MATH 102L
Notes: May not be used for credit toward an engineering or science degree (except for Interdisciplinary Sciences-Pre-Professional Health Science Specialization; Interdisciplinary Sciences-Science, Technoloy, and Socieity Specialization; chemistry; and associates of arts).
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MATH 102L College Algebra Lab Credits: (0-1) 1
Laboratory to accompany MATH 102.
Corequisites: MATH 102
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MATH 115 Precalculus Credits: (5-0) 5
A preparatory course for the calculus sequence. Topics include: polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs; systems of equations, inequalities and complex numbers.
Prerequisites: MATH 101 with a minimum grade of “C” or appropriate mathematics placement.
Notes: May not be used for credit toward an engineering or science degree (except for Interdisciplinary Sciences-Pre-Professional Health Science Specialization; Interdisciplinary Sciences-Science, Technology, and Socieity Specialization; Chemistry; Associates of Arts).
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MATH 120 Trigonometry Credits: (3-0) 3
Topics include: trigonometric functions, equations, and identities; inverse trigonometric functions; exponential and logarithmic functions, and applications of these functions.
Prerequisites: MATH 102 with a minimum grade of “C” or appropriate mathematics placement.
Notes: May not be used for credit toward an engineering or science degree (except for Interdisciplinary Sciences-Pre-Professional Health Science Specialization; Interdisciplinary Sciences-Science, Technology, and Socieity Specialization; Chemistry; and Associate of Arts).
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MATH 123 Calculus I Credits: (4-0) 4
The study of limits, continuity, derivatives, applications of the derivative, antiderivatives, the definite and indefinite integral, and the fundamental theorem of calculus.
Prerequisites: MATH 115 with a grade of “C” or appropriate mathematics placement or permission of instructor.
Notes: Students who are initially placed into MATH 102 or below must complete MATH 102 and MATH 120 with a minimum grade of “C” before enrolling in MATH 123. Students who are placed in MATH 120 should consult their advisor to determine whether their placement score was sufficiently high to allow concurrent registration in MATH 123.
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MATH 125 Calculus II Credits: (4-0) 4
A continuation of the study of calculus, including the study of sequences, series, polar coordinates, parametric equations, techniques of integration, applications of integration, indeterminate forms, and improper integrals.
Prerequisites: MATH 115 or MATH 120 with a minimum grade of “C” or appropriate score on departmental Trigonometry Placement Examination and MATH 123 with a minimum grade of “C”.
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MATH 205 Mining and Management Mathematics I Credits: (2-0) 2
A survey of calculus in higher dimensions that includes an introduction to vectors, vector valued functions, and partial derivatives.
Prerequisites: MATH 125 with a minimum grade of “C” or permission of instructor.
Notes: This course may not be used for credit toward an engineering or science degree (except for Mining Engineering).
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MATH 221 Introduction to Discrete Mathematics Credits: (2-) 2
The main purpose of this course is to provide background and experience on the structure of proofs. Topics may include: elementary logic; basic set theory; and sequences of summations, functions, matrices, and proof techniques.
Prerequisites: MATH 123 with a minimum grade of “C” or permission of instructor.
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MATH 225 Calculus III Credits: (4-0) 4
A continuation of the study of calculus, including an introduction to vectors, vector calculus, partial derivatives, and multiple integrals.
Prerequisites: MATH 125 with a minimum grade of “C”.
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MATH 281 Introduction to Statistics Credits: (3-0) 3
A study of descriptive statistics including graphs, measures of central tendency and variability and an introduction to probability theory, sampling and techniques of statistical inference with an emphasis on statistical applications.
Prerequisites: MATH 102 or MATH 115
Notes: Individuals may apply for at most 4 credits toward a degree from the following list of courses: MATH 281, IENG 381 /MATH 381 , MATH 442 .
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MATH 291 Independent Study Credits: 1 to 5
Includes directed study, problems, readings, directed readings, special problems and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends on the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: May be repeated to a total of 5 credit hours.
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MATH 292 Topics Credits: 1 to 5
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: May be repeated to a total of 6 credit hours.
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MATH 315 Linear Algebra Credits: (3-0) 3
Course topics include: the theory and applications of systems of linear equations, matrices, determinants, vector spaces, linear transformations and applications.
Prerequisites: MATH 225 or permission of instructor.
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MATH 321 Differential Equations Credits: (3-0) 3
Selected topics from ordinary differential equations including development and applications of first order, higher order linear and systems of linear equations, general solutions and solutions to initial-value problems using matrices. Additional topics may include Laplace transforms and power series solutions. In addition to analytical methods this course will also provide an introduction to numerical solution techniques.
Prerequisites: MATH 125 with a minimum grade of “C”.
Notes: MATH 225 and MATH 321 may be taken concurrently or in either order.
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MATH 353 Linear Optimization Credits: (3-0) 3
Convex sets and functions, linear inequalities and combinatorial problems; topics in linear programming from fundamental theorems of simplex method through sensitivity analysis, duality, transportation and assignment problems.
Prerequisites: MATH 225 or permission of instructor.
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MATH 373 Introduction to Numerical Analysis Credits: (3-0) 3
This course is an introduction to numerical methods. Topics include elementary discussion of errors, polynomial interpolation, quadrature, non-linear equations, and systems of linear equations. The algorithmic approach and efficient use of the computer will be emphasized. Additional topics may include: calculation of eigenvalues and eigenvectors, numerical differentiation and integration, numerical solution of differential equations.
Prerequisites: MATH 321 and CSC 150/150L or permission of instructor.
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MATH 381 Introduction to Probability and Statistics Credits: (3-0) 3
Introduction to probability theory, discrete and continuous distributions, sampling distributions and the central limit theorem with general principles for statistical inference and applications of random sampling to hypothesis testing, confidence limits, correlation, and regression.
Prerequisites: MATH 125
Pre or Corequisites: MATH 225
Notes: This course is cross listed with IENG 381 . Individuals may apply at most 4 credits toward a degree from the following list of courses: MATH 281 , IENG 381 /MATH 381, MATH 442 .
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MATH 382 Probability Theory and Statistics II Credits: (3-0) 3
Review of general principles of statistical inference, linear regression and correlation, multiple linear regression, ANOVA, and statistical design of experiments.
Prerequisites: MATH 381 /IENG 381
Notes: This course is cross listed with IENG 382 .
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MATH 391 Independent Study Credits: 1 to 5
Includes directed study, problems, readings, directed readings, special problems, and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends on the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: May be repeated to a total of 5 credit hours.
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MATH 392 Topics Credits: 1 to 5
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: May be repeated to a total of 6 credit hours.
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MATH 402 Communicating Mathematics Credits: (1-0) 1
The student will produce a word-processed technical report of research conducted in MATH 498 and given a department colloquium talk summarizing her or his work. Department faculty member(s) will provide guidance in the production of the technical report and in the preparation for the colloquium talk.
Prerequisites: MATH 498
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MATH 413 Abstract Algebra I Credits: (3-0) 3
Introduction to the theory and applications of algebraic structures including groups, rings, and fields.
Prerequisites: MATH 225 and CSC 251 or MATH 225 and MATH 221
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MATH 421 Complex Analysis Credits: (3-0) 3
The algebra of complex numbers; complex functions; contour integration and Cauchy integral theorems; Taylor and Laurent series and the residue theorem; the evaluation of real definite integrals; elementary mapping problems.
Prerequisites: MATH 225
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MATH 423 Advanced Calculus I Credits: (4-0) 4
A theoretical treatment of calculus that covers: limits; continuity and differentiability of functions of a single variable.
Prerequisites: MATH 225 and CSC 251 or MATH 225 and MATH 221 or permission of instructor.
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MATH 424 Advanced Calculus II Credits: (4-0) 4
A continuation of MATH 423 that covers calculus of several variables; convergence of sequences and series; integration; and applications.
Prerequisites: MATH 423
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MATH 431 Dynamical Systems Credits: (3-0) 3
This course is a study of both discrete and continuous dynamical systems. Topics include analysis of planar autonomous systems, stability analysis, bifurcation, chaos, and strange attractors. In addition, this course may include the study of Van der Pol’s equation, Lorenz equations, Duffing’s equation, Hamiltonian systems, and Poincare maps.
Prerequisites: MATH 315 and MATH 321 or permission of instructor.
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MATH 432 Partial Differential Equations Credits: (3-0) 3
Fourier series, partial differential equations, Frobenius series, Bessel functions, and transform methods.
Prerequisites: MATH 225 and MATH 321
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MATH 442 Engineering Statistics Credits: (4-0) 4
An introduction to the core ideas in probability and statistics. Computation of probabilities using, for instance, counting techniques and Bayes’ rule. Introduction to discrete and continuous random variables, joint and conditional distribution, expectation, variance and correlation, random sampling from populations, hypothesis tests and confidence intervals, and least squares. Other topics include building multiple regression models, parameter estimation, and reliability.
Prerequisites: MATH 225
Notes: Individuals may apply at most 4 credits toward a degree from the following list of courses: MATH 281 , IENG 381 /MATH 381 , MATH 442.
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MATH 447/547 Design of Experiments Credits: (3-0) 3
Single and multifactor experiments, analysis of variance, factorial designs, the use of multiple regression, and response surface methodology. Topics may include nonparametric and permutation/randomization alternatives to the traditional parametric tests.
Prerequisites: MATH 382 /IENG 382 or MATH 442 or permission of instructor.
Notes: Students enrolled in MATH 547 will be held to a higher standard than those enrolled in MATH 447.
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MATH 451 Math Modeling Credits: (3-0) 3
The primary goal of this course is to present the mathematical formulation and analysis utilized in scientific modeling. Applications from both science and engineering will be covered. The types of models will include deterministic and stochastic models. Topics may include: epidemiology, biomass, elasticity, heat flow, electrical circuits, mechanical vibrations and optimization.
Prerequisites: MATH 321 or permission of instructor.
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MATH 463 Scientific Computing Credits: (3-0) 3
This course is an introduction to the elements of numerical analysis and modern scientific computing. The primary focus will be on the mathematical analysis of computational methods and the effective use of scientific computation as it relates to the needs of engineering and science. Topics will include: machine arithmetic and error analysis, the approximation of eigenvalues, and numerical solutions of ordinary differential equations. Additional topics in numerical analysis will be included as time permits.
Prerequisites: MATH 373 or CSC 372 or permission of instructor.
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MATH 471 Numerical Analysis I Credits: (3-0) 3
Analysis of rounding errors, numerical solutions of nonlinear equations, numerical differentiation, numerical integration, interpolation and approximation, numerical methods for solving linear systems.
Prerequisites: MATH 373 or CSC 372
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MATH 486 Statistical Quality and Process Control Credits: (3-0) 3
This course covers the development of statistical methods for application to problems in quality and process control. Statistical topics include: basics of processes and variability, statistically controlled processes, variable and attribute control charts, moving averages, individual trend and others, process capability, sampling plans for attributes and variables.
Prerequisites: IENG 381 /MATH 381 or MATH 442 or permission of instructor.
Notes: This course is cross listed with IENG 486 .
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MATH 491 Independent Study Credits: 1 to 3
Includes directed study, problems, readings, directed readings, special problems and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Meeting frequency depends on the requirements of the topic.
Prerequisites: Permission of instructor.
Notes: May be repeated to a total of 3 credit hours.
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MATH 492 Topics Credits: 1 to 6
Includes current topics, advanced topics and special topics. A course devoted to a particular issue in a specified field. Course content is not wholly included in the regular curriculum. Guest artists or experts may serve as instructors.
Notes: May be repeated to a total of 6 credit hours.
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