pages i-viiiCollege of Artsand Sciences112 <strong>Clarion</strong> <strong>University</strong> of PennsylvaniaMATH 260: Applied Calculus 4 s.h.Covers the concepts and applications of differential and integral calculus. Includes derivatives and their applications, integrals and theirapplications, 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 thefundamental theorem of Calculus. Students in mathematics and sciences and better-prepared students in other disciplines are encouragedto 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 anddifferentiable 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 diversedisciplines 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 applyingsimultaneously the methods learned from the entire sequence. Discusses some new topics and techniques in analysis. Prerequisite:MATH 272. Annually.MATH 295: Projects in Mathematics 1-2 s.h.Designed to provide undergraduates with practical experience in the real-world use of mathematics. Students will work on projectsthat provide exposure to emerging areas of mathematics such as applied mathematics, mathematical modeling, industrial mathematics,computational science, and mathematical programming. A maximum of eight credits in this course may be applied toward graduation.Prerequisite: Permission of instructor. Each semester.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 basicstatistical 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 (MATH221/222 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 andmathematical 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 historicalwork on the parallel postulate. Emphasizes rigorous proof and logical methods. Prerequisite: MATH 300.MATH 360, 460: Numerical Methods in Mathematics I, II 3 s.h. eachExamines types of error, calculus of finite differences, numerical evaluation of integrals, algorithms for the solution of algebraicequations, and systems of algebraic equations with applications to selected problems and computer programming of algorithms.Prerequisite: MATH 271. Spring Semester (360); on demand (460).MATH 370: Introduction to Linear Algebra 3 s.h.Introduces systems of linear equations, vector spaces, linear transformations, matrices, determinants, eigen vectors, and eigenvalues. Prerequisite: MATH 271.MATH 390: Junior Seminar in Mathematics 1 s.h.An introduction to the literature in mathematics and mathematics education. Students will read a collection of articles or chapters ofbooks with topics ranging from history, applications, and creativity, to research in mathematics education and nature of mathematics.Students will write short papers providing their reactions and insights about the materials from each reading assignment. Each studentis required to choose a topic for the Senior Seminar. Prerequisite: Six hours of 300-level or higher mathematics courses and the consentof the mathematics department chair. Term and frequency as required.MATH 421: Mathematical Statistics I 3 s.h.Explores basic concepts of elementary probability, probability in finite spaces, conditional probability, independent trials, sophisticatedcounting, and probability in relation to random variables. Prerequisites: MATH 272 and MATH 300.MATH 422: Mathematical Statistics II 3 s.h.Analyzes mathematical expectation, discrete and continuous random variables, probability densities, sampling distributions, point
<strong>Clarion</strong> <strong>University</strong> of Pennsylvania 113estimations, interval estimations, tests of hypotheses, regression and correlation, analysis of variation, and moment-generatingfunctions. Prerequisite: MATH 421.MATH 451, 452: Modern Algebra I, II 3 s.h. eachIntroduces groups, rings, integral domains, and fields. Emphasizes rigorous proof and logical methods. Prerequisite: MATH 300. Falland spring, respectively.MATH 454: Theory of Numbers 3 s.h.Examines factorization, congruence, quadratic reciprocity, number theoretic functions, diophantine equations, and continued fractions.Prerequisite: MATH 300.MATH 459: Introduction to Complex Variables 3 s.h.Covers the complex plane, analytic functions, poles, residues, and their applications, including the fundamental theorem of algebra.Prerequisites: MATH 272 and 300.MATH 471, 472: Introduction to Real Analysis 3 s.h.Covers limits, continuity, differentiability, integrability, and convergence for functions of a real variable and several variables.Prerequisites: MATH 272 and 300.MATH 473: Elementary Topology 3 s.h.Explores topological spaces, metric spaces, compactness, and connectedness. Prerequisites: MATH 272 and MATH 300.MATH 480: Special Topics 3 s.h.Offers special topics reflecting the interests of the students. The specific topic to be covered each term will be announced in advance.Prerequisites: MATH 272 and permission of the instructor.MATH 490, 491, 492: Seminar I, II, III1 s.h. eachIndividual study under faculty supervision. Prerequisites: 12 hours of 300-level (including MATH 390) or above mathematics coursesand written consent of the department chair.MATH 495: Industrial Mathematics Workshop 3 s.h.Serves as the capstone course for students in the Industrial Mathematics Program. Students work to find solutions to problemsoriginating from business, industry, medicine, and government. Requires written and oral presentations. Prerequisites: Completion ofMATH 270, 271, 272 (all with C or better), MATH 300, 12 credit hours of mathematics numbered above MATH 300, and permissionof instructor.MATH 499: Independent Study 1-3 s.h.Individual study under faculty supervision. Prerequisites: 12 hours of math numbered 300 or above and written consent of thedepartment chair.pages i-viiCollege of Artsand SciencesMilitary Science-ROTCArmy Reserve Officers’ Training Program and Minorin Leadership-Military Science Track,LTC Jeffrey Metzger, program directorG21 Becker HallTelephone: 393-2527E-mail address: lfagen@clarion.eduWebsite: www.artsci.clarion.edu/rotcProfessor: LTC Jeffrey MetzgerAssistant Professor: ILT Lawrence Fagen<strong>Clarion</strong> <strong>University</strong>, in partnership with the MilitaryScience Department at Indiana <strong>University</strong> of Pennsylvania(IUP), offers qualified students the opportunity to earn acommission as an officer in the U.S. Army. Students whocomplete both the Basic Course program and the AdvancedCourse program receive a minor in Leadership-MilitaryScience Track from <strong>Clarion</strong> <strong>University</strong>. Students whocomplete the Basic Course program (or have validatedit), the Advanced Course program, and the ROTCLeadership Development and Assessment Coursereceive a commission as an officer in the U.S. Army. TheROTC program and the minor provide leadership trainingthat students can apply throughout their careers, be theyin business, industry, technology, education, the physicalsciences, or the humanities.The ROTC program and the minor are divided into twophases: the Basic Course (freshman and sophomore years)and the Advanced Course (junior and senior years).Students who enroll in the ROTC program have thefollowing benefits:• ROTC offers a comprehensive academic programin military leadership and teaches practical skillssuch as self-defense, adventure training, rappelling,marksmanship, orienteering, and first aid techniques.• The end-state of completing both the Basic Course ROTCProgram (MS 110, MS 112, MS 201, and MS 202) andthe Advanced Course ROTC program (MS 301, MS302, MS 401, and MS 402) results in receiving a minorin leadership-military science track.• Equipment, ROTC textbooks, and uniforms are issued,without cost, to enrolled students.• Students enrolled in the Basic Course (MS 110, MS112, MS 201, and MS 202) may become eligible forfull-tuition scholarships and enrollment in the ROTCAdvanced Course.• Students formally enrolled in the Advanced Course(MS 301, MS 302, MS 401, and MS 402) receive acash stipend ($300-$500) each month for 10 monthsduring the academic year and receive $900 each yearfor books.