Undergraduate - Clarion University

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106 Clarion University of Pennsylvania College of Arts and Sciences Mathematics Courses Placement in mathematics courses is based on the student’s mathematics placement test score. The mathematics placement test is administered at each of the orientation sessions or by arrangement with the Mathematics Department. Results are made available before the students register. Students must register for the appropriate level mathematics course as determined by the 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 advanced courses requiring a basic mathematics competency. Emphasizes decreasing mathematics anxiety, the development of mathematics text-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 and experimentation, analysis activities, and problem-solving. Credits in this course do not count toward general education or graduation. Credit/No Record only. Fall, annually. MATH 050: BASIC ALGEBRA 3 s.h. Introduces basic arithmetic and algebraic concepts, including an introduction to real numbers and algebraic expressions, solving equations and inequalities, polynomials, factoring, graphing, and systems of equations. Credits in this course do not count toward general 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 satisfactorily completed MATH 131 or a higher-numbered mathematics course may subsequently receive credit for MATH 110. Prerequisite: “C” or 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, and functions. 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, and other topics are included in MATH 211. Prerequisite: “C” or better in MATH 050 or satisfactory score on the departmental placement examination. 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 understanding rather than acquisition of techniques. Prerequisite: “C” or better in MATH 050 or satisfactory score on the departmental placement examination. 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, and mathematics of finance. Prerequisite: MATH 110 or satisfactory score on the departmental placement examination. Each semester. MATH 171: PRECALCULUS 4 s.h. Prepares students for calculus by covering high school algebra, functions, inequalities, analytic trigonometry, logarithms, elementary theory of equations, complex numbers, and mathematical induction. Prerequisite: MATH 110 or satisfactory score on the departmental placement 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. Includes introductions 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, geometrics on 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-level mathematics course. On demand. MATH 214: FINITE MATHEMATICS 3 s.h. Introduces basic properties of finite mathematics, including logic, counting techniques, elementary probability, and application to 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. Includes the 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. Designed specifically for students not majoring in mathematics. Prerequisite: “C” or better in MATH 050 or satisfactory score on the departmental placement examination. Each semester.
Clarion University of Pennsylvania 107 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 from unknown or intractable distributions, and the basis for a well-designed experiment. Prerequisite: “C” or better in MATH 050 or satisfactory 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 major survey 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, maxima and 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 the equivalent. MATH 260: APPLIED CALCULUS 4 s.h. Covers the concepts and applications of differential and integral calculus. Includes derivatives and their applications, integrals and their applications, integration techniques, numerical integration, and the calculus of several variables. For students in the social, behavioral, and biomedical sciences. Prerequisite: MATH 171 or satisfactory score on the departmental placement examination. Each semester. MATH 270: CALCULUS I 4 s.h. Covers elementary analytic geometry, limits, continuity, differentiability, applications, definition of the Riemann integral, and the fundamental theorem of Calculus. Students in mathematics and sciences and better-prepared students in other disciplines are encouraged to select MATH 270-271. Prerequisite: “C” or better in MATH 171 or satisfactory score on the departmental placement examination. Each semester. MATH 271: CALCULUS II 4 s.h. Reviews limits and definition of the Reimann integral. Covers applications, integration techniques, and topics in analytic geometry. Prerequisite: MATH 270. Each semester. MATH 272: CALCULUS III 4 s.h. Reviews sequences and series. Analyzes geometry of 3-space, vectors, vector functions, basic properties of limits, continuous and differentiable functions of several variables, and multiple integrals. Prerequisite: MATH 271. Each semester. MATH 285: MATHEMATICAL MODELING 3 s.h. Develops higher-level problem solving strategies using mathematics to solve real world problems. Applications from diverse disciplines will be represented by mathematical models that will then be solved and analyzed in the context of each problem. Prerequisite: ENG 110 (or equivalent) and one of either MATH 270 or 260, both with grades of “C” or better. Annually. MATH 290: CALCULUS WORKSHOP 1 s.h. Overview of the calculus sequence that allows students to examine problems in differential and integral calculus by applying simultaneously the methods learned from the entire sequence. Discusses some new topics and techniques in analysis. Prerequisite: MATH 272. Annually. MATH 300: AN INTRODUCTION TO ADVANCED MATHEMATICS 3 s.h. Rigorous approach to the study of the standard methods of mathematical proof applied to topics in the theory of numbers, sets, functions, and analysis. Prerequisite: MATH 271. MATH 321: INTERMEDIATE APPLIED STATISTICS 3 s.h. Provides an overview of the basic theory and application of mathematical statistics. Emphasizes understanding and applying basic statistical theory. Prerequisite: MATH 271. Fall, annually. MATH 322: INTERMEDIATE STATISTICS II 4 s.h. Examines in further detail the analysis of variance, factorial experiments, and multiple regression. Prerequisite: MATH 321 (MATH 221/222 with instructor’s permission). Spring. MATH/CIS 340: DISCRETE MATHEMATICAL STRUCTURES 3 s.h. Emphasizes concrete models, sets, relations, functions, combinations, graphs, and trees. Includes computer algorithms and mathematical structures useful in computer science. Designed for students in both mathematics and computer science. Prerequisites: MATH 300 and CIS 163. MATH 350: ORDINARY DIFFERENTIAL EQUATIONS 3 s.h. Studies first-order differential equations, linear differential equations of higher order, and systems of differential equations. Prerequisite: MATH 272. Spring, annually. MATH 357: MODERN GEOMETRY 3 s.h. Develops an axiomatic treatment of Euclidean geometry and introduces topics in non-Euclidean geometry. Focuses on the historical work on the parallel postulate. Emphasizes rigorous proof and logical methods. Prerequisite: MATH 300. College of Arts and Sciences
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Undergraduate - Clarion University

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