MAT 2514 CALCULUS AND ANALYTIC GEOMETRY I Limits and continuity; differentiation and applications; integration and area; calculus of transcendental functions; and introduction to applications of integration. May include an introduction to differential equations. PR: Minimum Math ACT of 28 or Math SAT of 640 and sufficient high school preparation, or a minimum grade of C- in MAT 1334. MAT 2524 CALCULUS AND ANALYTIC GEOMETRY II Continues MAT 2514. Applications of integration; differential equations; techniques of integration; L’Hopital’s rule; improper integrals; infinite series; conics; parametric equations; and polar coordinates. May include an introduction to vectors and the geometry of space. PR: Minimum grade of C- in MAT 2514. MAT 3213 TECHNOLOGY IN MATHEMATICS EDUCATION Focus on the use and integration of instructional technology in the K-12 mathematics curriculum. Education candidates explore the concepts of how to best utilize technologies in math to help students achieve, think critically, and prepare for the world outside of school. Hands-on experience using Internet resources, web-based applications, and instructional software that explore and analyze data and connect numerical, symbolic, and geometric representations. MAT 3303 MODERN ALGEBRA Concepts of groups, rings, integral domains and fields, and abstract reasoning. PR: MAT 2524. MAT 3334 ALGEBRAIC, PROPORTIONAL, AND MATHEMATICAL REASONING Development of algebraic and proportional reasoning as well as an examination of reasoning and proof through logic, conjecture, argument, and formal proof. Also entails an examination of the relationships between the aforementioned concepts. Emphasis is placed on problem-solving strategies and concept development. PR: MAT 2213 and 2223. MAT 3343 GEOMETRY FOR ELEMENTARY TEACHERS Examination of two- and three-dimensional geometric objects using different representational systems, transformations and symmetry, and problem solving involving geometry. Includes technology and manipulatives for the geometry classroom. PR: MAT 2223. Course fee. MAT 3534 CALCULUS AND ANALYTIC GEOMETRY III Continues MAT 2524. Vectors and the geometry of space; vector-valued functions; functions of several variables; and multiple integration. May include an introduction to vector analysis. PR: C- or better in MAT 2524. 154
School of Natural & Behavioral Sciences—Dept. of Science & Mathematics
MAT 3614 LINEAR ALGEBRA Systems of linear equations, matrices, and determinants; linear combinations and linear independence; vector spaces; linear transformations; eigenvalues and eigenvectors; inner product spaces; and applications. May include linear programming. PR: Minimum grade of C- in MAT 2524. Recommended PR: MAT 3534. MAT 3624 DIFFERENTIAL EQUATIONS First-order ordinary differential equations; linear differential equations of higher-order; differential equations with variable coefficients; power series solutions; Laplace transforms; and applications. May include an introduction to systems of linear first-order differential equations and numerical methods for ordinary differential equations. PR: Minimum grade of C- in MAT 2524. MAT 4653 COLLEGE GEOMETRY Euclidean, hyperbolic, spherical, finite, fractal, and taxi-cab geometries, including applications to real life situations, use of multiple geometry software programs, and some pedagogy for secondary mathematics education students. PR: MAT 2524. MAT 4952/4962 SENIOR MATH SEMINAR The history of mathematics as well as issues involved in mathematics education. Includes curriculum, standards, and the professional mathematics teaching community, as well as an examination of the roles of both women and minorities in mathematics. This course concentrates on the development of a scientific paper in the field of mathematics. PR: Senior status.
NSC—NATURAL SCIENCE NSC 1003/1004 EARTH SCIENCE Includes Earth’s composition, internal and external processes, plate tectonics, map reading and interpretation, geologic structures, atmosphere and weather, history of astronomy, the solar system, classification and formation of stars and galaxies, and cosmology. These topics will be investigated by applying fundamental concepts of physical science including properties of matter, energy, electricity and magnetism, motion, light and sound. NSC 1004 includes a lab component. Course fee. NSC 1003 is offered for accelerated programs only. NSC 1013 ENVIRONMENTAL SCIENCE Current environmental issues that contribute to understanding humanity’s responsibility for the earth’s resources. Includes the study of acid rain, greenhouse effect, and toxic waste. Offered for accelerated programs only. r o c h e s t e r c o l l e g e c ata lo g 2 0 16 -2 0 17