Page 172 of Boston College 2006-2007 University Catalog by Boston College University

MT 105 Calculus II-AP (Mathematics/Science Majors) (Fall: 3) Not open to students who have completed MT 103. MT 105 is a second course in the calculus of one variable intended for Chemistry, Computer Science/B.S., Geology/Geophysics, Geophysics, Mathematics, and Physics majors. It is designed for students who have completed either MT 101 or a year of Calculus in high school at either the AB or BC curriculum level, but who are not yet prepared to advance to MT 202 Multivariable Calculus. The course first reviews the primary techniques and interesting applications of integration. The remainder of the course provides an introduction to the topics of infinite sequences and series. MT 180 Principles of Statistics for the Health Sciences (Spring: 3) Prerequisite: CSON only Satisfies Mathematics Core Requirement This course introduces statistics as a liberal arts discipline and applies the principles of statistics to problems of interest to health sciences professionals. Students will gain an understanding of statistical ideas and methods, acquire the ability to deal critically with numerical arguments, and gain an understanding of the impact of statistical ideas on the health sciences, public policy and other areas of application. MT 190 Fundamentals of Mathematics I (Fall/Spring: 3) Satisfies Mathematics Core Requirement Restricted to Lynch School of Education students MT 190-191 is a course sequence designed for those who plan to teach mathematics in grades K-9. The emphasis is on the content of mathematics in the emerging K-9 curriculum and its interface with current major issues in mathematics education problem solving and technology. Topics to be covered include the real number system with motivational activities and applications, functions and their graphs, problem solving with calculators and computers, and elements of probability and statistics. MT 191 Fundamentals of Mathematics II (Spring: 3) Prerequisite: MT 190 Satisfies Mathematics Core Requirement Restricted to Lynch School of Education students This course is a continuation of MT 190. MT 202 Multivariable Calculus (Fall/Spring: 4) Prerequisite: MT 101 or MT 103 or MT105 or permission of instructor Satisfies Mathematics Core Requirement This course is for students majoring in Chemistry, Computer Science/B.S., Geology-Geophysics, Geophysics, Mathematics, and Physics, as well as other students who have completed integral Calculus. Topics in this course include vectors in two and three dimensions, analytic geometry of three dimensions, parametric curves, partial derivatives, the gradient, optimization in several variables, multiple integration with change of variables across different coordinate systems, line integrals, and Greens Theorem. MT 210 Linear Algebra (Fall/Spring: 3) This course is an introduction to the techniques of linear algebra in Euclidean space. Topics covered include matrices, determinants, systems of linear equations, vectors in n-dimensional space, complex numbers, and eigenvalues. The course is required of mathematics majors, but is also suitable for students in the social sciences, natural sciences, and management. MT 216 Introduction to Abstract Mathematics (Fall/Spring: 3) This course is designed to develop the students ability to do abstract mathematics through the presentation and development of the basic notions of logic and proof. Topics include elementary set theory, mappings, integers, rings, complex numbers, and polynomials. MT 235 Mathematics for Management Science (Fall/Spring: 3) Prerequisites: MT 100 or equivalent, CS 021 (formerly MC 021), and EC 151 (EC 151 may be taken concurrently). Topics include linear and integer programming, decision analysis, non-linear optimization, and computer solutions using Excel. MT 290 Number Theory for Teachers (Fall: 3) Prerequisites: MT 190-191 This course is intended to focus on the wealth of topics that relate specifically to the natural numbers. These will be treated as motivational problems to be used in an activity-oriented approach to mathematics in grades K-9. The course will demonstrate effective ways to use the calculator and computer in mathematics education. Topics include prime number facts and conjectures, magic squares, Pascals triangle, Fibonacci numbers, modular arithmetic, and mathematical art. MT 291 Geometry for Teachers (Spring: 3) Prerequisites: MT 190-191 This course is intended to fill a basic need of all teachers of grades K-9. Geometry now occupies a significant role in the elementary mathematics curriculum. The course will treat content, but ideas for presenting geometry as an activity-based program will also be stressed. Topics to be covered include the geoboard and other key manipulatives, elements of motion and Euclidean geometry, and suggestions for using Logo as a tool to enhance teaching geometry. MT 305 Advanced Calculus (Science Majors) (Spring: 4) Prerequisite: MT 202. Cannot be used for major credit MT 305 is required for Geology-Geophysics, Geophysics, and Physics majors. It is also recommended for Chemistry majors. Topics include linear second order differential equations series solutions of differential equations including Bessel functions and Legendre polynomials, and solutions of the diffusion and wave equations in several dimensions. MT 310 Introduction to Abstract Algebra (Fall/Spring: 3) Prerequisites: MT 210 and MT 216 This course studies four fundamental algebraic structures: groups, including subgroups, cyclic groups, permutation groups, symmetry groups and Lagranges Theorem; rings, including subrings, integral domains, and unique factorization domains; polynomials, including a discussion of unique factorization and methods for finding roots; and fields, introducing the basic ideas of field extensions and ruler and compass constructions. MT 320 Introduction to Analysis (Fall/Spring: 3) Prerequisites: MT 202 and MT 216 The purpose of this course is to give students the theoretical foundations for the topics taught in MT 102-103. It will cover algebraic and order properties of the real numbers, the least upper bound axiom, limits, continuity, differentiation, the Riemann integral, sequences, and series. Definitions and proofs will be stressed throughout the course. MT 460 Complex Variables (Spring: 3) Prerequisites: MT 202 and MT 210 This course gives an introduction to the theory of functions of a complex variable, a fundamental and central area of mathematics. It is 172 The Boston College Catalog 2006-2007 ARTS AND SCIENCES

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