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pages i-viiiCollege of Artsand Sciences110 Clarion University of PennsylvaniaMathematicsDepartment of Mathematics,Jon A. Beal, Ph.D., chair59 Peirce Science CenterTelephone: 393-2592E-mail address: jbeal@clarion.eduWebsite: www.artsci.clarion.edu/math/math.htmProfessors: Bhattacharya, Carbone, Freed, Gendler, Madison,ParkerAssociate Professors: Beal, Bolinger, McConnellAssistant Professors: Hipfel, Jackson, RobertsMathematics is the science of numbers and the abstractformulation of their operations. Quantitative skills acquiredthrough this study are useful in career fields which includecomputer science, business, actuarial science, engineering,life and physical sciences, medicine, and research. Actuariesconcentrate on the study of actuarial science and usuallywork for the government, an insurance agency, or aconsulting firm. They interpret statistics to determine thelikelihood of injury, sickness, death, or loss of propertyamong various population groups and develop insurancerates and plans for these groups.In addition to a B.S. degree and two minors, theMathematics Department offers a B.S. in IndustrialMathematics. This program is designed to help studentsdevelop a broad background in mathematics while theyprepare for professional employment in business, industry,medicine, or government. The university is an officialtesting site for the Society of Actuaries. A departmentalmicrocomputer lab provides mathematics students withhands-on computer experience. The department is a part ofthe 3/2 Engineering Program with University of Pittsburghand Case-Western Reserve University.Allied activities include a Mathematics Club open toall students, a weekly problem contest (at the end of thesemester a prize is awarded to the student who solves themost problems), and Pi Mu Epsilon, a national mathematicshonorary.Entry-level jobs available to graduates in this field include:actuary, computer programmer, engineer, internal revenueagent, military intelligence officer, pension administrator,rate analyst, research mathematician, statistician, systemsanalyst, cryptanalyst, and teacher. Among the employers whohire graduates: banks, computer services, consulting firms,corporations, educational institutions, engineering firms,government agencies, insurance companies, manufacturingfirms, pharmaceutical companies, and research anddevelopment laboratories. Most mathematics graduates godirectly into the field where they can earn good salaries, evenat entry level. A few go immediately into graduate schoolsfor further study.High school students who are interested in a mathematicscareer should take at least five years of mathematics:geometry, trigonometry, two years of algebra, and a thirdyear of algebra or precalculus. It is not necessary to studycalculus in high school.Mathematics, B.S. in Industrial Mathematics .....64-67 creditsRequired: MATH 270, 271, 272, 285, 290, 300, 321, 322,340, 350, 360, 370, 390, three credits in mathematics electivesfrom 300-level courses and above, and one of MATH 490, 495,COOP 352, 452. Additional required courses include: CPSC201, ENG 306, PH 258, and 12 credits, of which at least sixhours are numbered 300 or above, approved by the chair andadvisor. A minimum of C grade in MATH 270, 271, 272 andENG 111 is required.Mathematics, B.S. in Mathematics .............................57 creditsRequired: MATH 270, 271, 272, 300, 390, seminar, and 30credits in mathematics electives from 300-level courses andabove, at least 12 credits of which must be at the 400 level.Additional required courses include: CPSC 201, 301, and PH258. A minimum of C grade in MATH 270, 271, 272 and ENG111 is required.Mathematics (Cooperative Engineering Program) .....66 creditsRequired: MATH 270, 271, 272, 300, 350, 370, and 18 creditsin mathematics or approved engineering electives. In additionto these 39 credits, the following courses are required: PH 258,268, 259, 269, 351, 352; CHEM 151, 161, 152, 162; CIS 163.See also the Cooperative Engineering Program description onpage 84.Secondary Education, B.S.Ed.Certification for grades K-12, Mathematics (see underSecondary Education Mathematics), page 173.Mathematics (Minor) .................................................20 creditsRequired: MATH 270 or 260, MATH 271, and 12 credits of272-level or higher mathematics courses.Mathematics(Minor with Concentration in Statistics ) ........20 creditsRequired: MATH 221 or 222, 225, 260, 321, 322, and threecredits of MATH 271 or higher-level courses.Mathematics CoursesPlacement in mathematics courses is based on the student’s mathematics placement test score. The mathematics placementtest is administered at each of the orientation sessions or by arrangement with the Mathematics Department. Results are madeavailable before the students register. Students must register for the appropriate level mathematics course as determined bythe test score. For more details, students should contact the chair of the Mathematics Department.MATH/AS 010: Preparation for College Mathematics 3 s.h.Covers basic arithmetic and geometric principles necessary for the subsequent study of introductory algebra and other more advancedcourses requiring a basic mathematics competency. Emphasizes decreasing mathematics anxiety, the development of mathematicstext-reading abilities, including the study of vocabulary unique to the mathematics discipline, development of estimation skills,interpretation of data, mental mathematics, and critical thinking. Major learning modalities are written response, calculator use andexperimentation, analysis activities, and problem-solving. Credits in this course do not count toward general education or graduation.Credit/No Record only. Fall, annually.
Clarion University of Pennsylvania 111MATH 050: Basic Algebra 3 s.h.Introduces basic arithmetic and algebraic concepts, including an introduction to real numbers and algebraic expressions, solvingequations and inequalities, polynomials, factoring, graphing, and systems of equations. Credits in this course do not count towardgeneral education or graduation. Each semester.MATH 110: Intermediate Algebra 3 s.h.Covers topics in algebra beyond the introductory level, yet less than the precalculus level. No student who has satisfactorilycompleted MATH 131 or a higher-numbered mathematics course may subsequently receive credit for MATH 110. Prerequisite: Cor better in MATH 050 or satisfactory score on the department’s placement examination. Each semester.MATH 111: Mathematical Concepts in Grades K-8 3 s.h.Examines operations and properties of integers, fractions, and decimals. Includes elementary set theory, number theory, andfunctions. Covers conceptual foundations of the numerical content of the mathematics curriculum in the elementary and middle grades,emphasizing problem solving. MATH 111 is the first in a two-part sequence; the study of measurement, geometry, data gathering, andother topics are included in MATH 211. Prerequisite: C or better in MATH 050 or satisfactory score on the departmental placementexamination. Each semester.MATH 112: Excursions in Mathematics 3 s.h.Acquaints students with the nature and scope of modern mathematics and its applications. Emphasizes concepts and understandingrather than acquisition of techniques. Prerequisite: C or better in MATH 050 or satisfactory score on the departmental placementexamination. Each semester.MATH 131: Applied Finite Mathematics 3 s.h.Covers mathematical techniques with special applications in business and related areas. Includes matrices, linear programming, andmathematics of finance. Prerequisite: MATH 110 or satisfactory score on the departmental placement examination. Each semester.MATH 140: Essential Topics in Discrete Mathematics 3 s.h.An introduction to the discrete mathematics essential for coursework in computer science. Elementary coverage of proofs includingmathematical induction, sets, functions, relations, Boolean algebra, number theory, combinatorics, analysis of algorithms includingrecursive algorithms, matrices, and the logic of control and data storage through hand computation. This course should be taken ina computer science major’s first year. Each semester.MATH 171: Precalculus 4 s.h.Prepares students for calculus by covering high school algebra, functions, inequalities, analytic trigonometry, logarithms, elementarytheory of equations, complex numbers, and mathematical induction. Prerequisite: MATH 110 or satisfactory score on the departmentalplacement examination. Each semester.MATH 211: Fundamental Topics in K–8 Mathematics 3 s.h.Investigates selected topics considered essential to the basic mathematics curriculum in the elementary and middle grades. Includesintroductions to mathematical reasoning, additional problem-solving techniques, probability and data analysis, geometry and measurement.Math 211 is the second in a two-part sequence beginning with MATH 111. Prerequisite: MATH 111. Each semester.MATH 212: Intuitive Geometry 3 s.h.Intuitive overview of geometry: Euclid’s Axioms, exploration of relationships, measurement and coordinate geometries, geometricson other surfaces, and geometry in nature and art. Prerequisite: Any 100-level mathematics course. On demand.MATH 213: Intuitive Calculus 3 s.h.Explores development of the basic properties of the real number system and calculus, including functions, sequences, limits,continuity, integrals, and derivatives. Examines topics graphically, symbolically, and numerically. Prerequisite: Any 100-levelmathematics course. On demand.MATH 214: Finite Mathematics 3 s.h.Introduces basic properties of finite mathematics, including logic, counting techniques, elementary probability, and applicationto social and computer science. Prerequisite: Any 100-level mathematics course. On demand.MATH 215: Mathematical Concept Laboratory – An Activity–Oriented Approach 3 s.h.Develops certain concepts of mathematics using an activity-oriented approach. Conducted in a laboratory atmosphere. Includesthe rational number system, number theory, induction, measurement, geometric shapes. On demand.MATH 221: Elementary Applied Statistics 3 s.h.Examines basic principles and methods of statistical analysis useful in the social sciences, biology, and education. Designedspecifically for students not majoring in mathematics. Prerequisite: C or better in MATH 050 or satisfactory score on the departmentalplacement examination. Each semester.MATH 222: Elementary Nonparametric Statistics 3 s.h.Examines statistical methods for experiments that yield small samples and/or ordinal data, methods for dealing with data fromunknown or intractable distributions, and the basis for a well-designed experiment. Prerequisite: C or better in MATH 050 orsatisfactory score on the departmental placement examination. Spring, odd-numbered years.MATH 225: Elementary Survey Sampling 3 s.h.Addresses the problems of bias—in both the mathematics and the survey designs, while introducing the student to the majorsurvey designs. Prerequisite: MATH 221, 222, or 321 or permission of instructor. Spring, even-numbered years.MATH 232: Calculus for Business I 3 s.h.Examines differential calculus with application to business and the social sciences. Topics include limits, derivatives, maximaand minima, and an introduction to integration. MATH 232-3 are designed for students outside the natural sciences. Prerequisite:MATH 110 or adequate placement in the mathematics placement examination. Each semester.MATH 233: Calculus For Business II 3 s.h.Applies integral calculus to business and the social sciences. Includes rules of integration, definite and indefinite integrals,series, and partial derivatives. MATH 232-3 are designed for students outside the natural sciences. Prerequisite: MATH 232 or theequivalent.pages i-viiCollege of Artsand Sciences
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