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MATH 0111: Mathematical Applications
3.00 Credits
Westfield State University
An introductory course designed to provide the liberal arts major with opportunities to investigate ways in which mathematics is used to solve real world problems in a variety of disciplines. Applications may include such topics as voting schemes, fair division, networks, scheduling, finance, probability and statistics. Prerequisite: High School Algebra II.
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MATH 0115: Mathematics For Business And Social Sciences
3.00 Credits
Westfield State University
An introduction to algebraic modeling, with an emphasis on applications in business and the social sciences. Topics include: using algebraic models to describe the relationship between variables, using graphs to visualize models, and choosing and interpreting various models. Calculus is introduced and is used as a tool for studying the structure of algebraic models. Prerequisite: High School Algebra II.
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MATH 0150: Foundations: Mathematical Reasoning
3.00 Credits
Westfield State University
(3) An introductory course in the foundations of mathematics. Topics will include: finding, analyzing, and describing patterns; sets and classification; functions and relations; inductive and deductive reasoning; problem solving and logic. Students will develop a conceptual understanding of the course material in a learning environment that models the pedagogical foundations of the Massachusetts Curriculum Frameworks for Mathematics and the NCTM Standards. Prerequisite: High School Algebra II.
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MATH 0201: Calculus III
4.00 Credits
Westfield State University
A continuation of Calculus II. Topics include vector functions and calculus of curves in space, differential calculus of multivariate functions, integral calculus of multivariate functions, polar, spherical and cylindrical coordinates, parametric equations, Cartesian coordinates, line and surface integrals. Prerequisite: MATH 0106 and MATH 0218
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MATH 0216: Studies in The Literature of Mathematics
3.00 Credits
Westfield State University
A study of mathematical literature devoted to selected topics from fundamental scientific, philosophical, artistic, cultural, and technological questions, debates, and revolutions. Source material will be taken from the widely varied genres of mathematical literature: fiction, drama, essays, memoirs, exposition for lay audiences, history, and philosophy. Regular class discussions, regular writing assignments, poster projects, and research papers actively will involve students in analyzing and/or creating literature, which reflects both their role in and the understanding of the mathematical experience. Prerequisites: ENGL 0101 and at least one 0100-level mathematics course.
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MATH 0218: Linear Algebra
3.00 Credits
Westfield State University
Study of fundamental concepts of linear algebra over the field of real numbers. Topics include solution of simultaneous linear equations, vector spaces, linear independence and dependence, basis, subspaces, linear transformations and matrices, eigenvalues, eigenvectors. Prerequisite: MATH 0105.
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MATH 0220: Discrete Structures
3.00 Credits
Westfield State University
An introduction to discrete mathematics. Topics will include Boolean algebra and logic, set theory, an introduction to mathematical proof using set theory and logic, relations and functions, recursion, and historical topics related to discrete mathematics, such as Godel's Theorem and the concept of Turing machines. Additional topics, such as graph theory or finite difference equations, may be covered at the instructor's discretion. Prerequisite: MATH 0105.
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MATH 0237: Mathematics Tutor Training Seminar
3.00 Credits
Westfield State University
(1) A training seminar for upper-class students involved with the Mathematics Peer Tutoring Program to meet the following three objectives: 1) presenting mathematics with understanding and flexibility; 2) recognizing, diagnosing, and remediating common math misconceptions, 3) becoming more sensitive to some of the affective issues arising both in tutoring relationships and for students struggling with mathematics. Prerequisites: MATH 0106, permission of instructor, and concurrent participation in the mathematics tutoring program. May be elected only once for credit.
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MATH 0251: Foundations: Geometry
3.00 Credits
Westfield State University
An introductory course on geometry and measurement. Topics will include: Euclidean geometry, characteristics and properties of two- and three-dimensional shapes, topology, symmetry and transformational geometry, the development of measure, and the derivation of measurement formulae. Students will develop a conceptual understanding of the course material in a learning environment that models the pedagogical foundations of the Massachusetts Curriculum Frameworks for Mathematics and the NCTM Standards. Prerequisite: MATH 0150.
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MATH 0252: Foundations: Probability And Statistics
3.00 Credits
Westfield State University
The study of the foundations of probability and statistics. Topics will include: understanding, constructing, and computing data graphs and numerical summary measures; probability models; and statistical inference. Students will develop a conceptual understanding of the course material in a learning environment that models the pedagogical foundations of the Massachusetts Curriculum Frameworks for Mathematics and the NCTM Standards. Prerequisite: MATH 0150.
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