# Course Catalog: Mathematics and Math/Science Courses

*The degree requirements outlined in this catalog are intended to be used for students entering Wheelock in the 2016-2017 academic year.*

**MAT 120Quantitative Reasoning 4 credits**

Applies mathematics to understanding social and personal issues, with some sections focusing on a theme. Mathematical concepts include percentages, ratios and proportions, probability, descriptive statistics, and functions. Emphasizes mathematical process; uses mathematical software. Meets three periods per week, with an additional study group led by a math leader. General Education: Foundations of Knowledge and Inquiry Mathematics. Introductory.

**MAT 130/131/132Concepts and Processes I, II, and III4 credits each**

Deepens understanding of Number and Operation; Algebraic Thinking; Geometry and Measurement; and Probability and Data Analysis. Emphasizes problem-solving, justifying reasoning, mathematical communication, representation, and mathematical connections. Intended for prospective teachers. Three-semester sequence, meets three periods per week, with an additional study group led by a math leader. General Education: Foundations of Knowledge and Inquiry Mathematics.

**MAT 140/141Intensive Concepts and Processes I and II4 credits each**

Two semester intensive version of the Concepts and Processes Sequence (Math 130/131/132), intended for well-prepared students. Meets three periods per week, with an additional study group led by a math leader. Prerequisite: Passing Entry Exam. General Eduction: Foundations of Knowledge and Inquiry Mathematics. Introductory.

**MAT 165Precalculus4 credits each**

Studies trigonometry, complex numbers, polynomials, rational functions and analytics geometry. Focuses on problem solving, constructing mathematical models, mathematical reasoning, asking questions, and making connections between topics. Offered for OnCampus Boston students who intend to major in science, engineering or a business-related field..

**MAT 170Statistics for the Behavioral Sciences4 credits**

Develops understanding of elementary statistical techniques needed in behavioral sciences. Includes frequency distributions, graphs, measures of central tendency and variability, percentiles and standard scores. Emphasis on sampling theory, hypothesis testing and drawing conclusions about a population from sample data. Includes study group. General Education: Foundations of Knowledge and Inquiry Mathematics. Prerequisites: MAT 120. Introductory.

**MAT 186Math with Crochet, Quilts and Temari4 credits**

Uses crochet, quilts, temari and other fiber arts to explore pattern, symmetry, curvature and other mathematical concepts from spherical, hyperbolic and two- and three- dimensional Euclidean geometries, as well as topics from graph theory and algebra. Includes hands-on projects and computer designs. No experience necessary. General Education: Fulfills Quantitative Reasoning and Mathematical Thinking. Introductory.

**MAT 187Mathematics from Many Cultures4 credits**

Studies mathematical ideas in literate and oral cultures. Expands students’ understanding of numbers, arithmetic operations, patterns and geometry concepts. Emphasizes reasoning and problem solving and recognizing the contributions of different cultures to the development of mathematics. Possible topics include numbers systems, geometry, games, and calendars. General Education: Fulfills Foundations of Knowledge and Inquiry Mathematics. Introductory.

**MAT 188Math Through Puzzles and Games4 credits**

Uses puzzles and games to explore mathematical topics from logic, geometry, number theory, combinatorics, probability, and/or other areas. Puzzles may include Sudoku, Ken Ken, Rubik’s Cubes, dis-section puzzles, magic squares, and/or mazes. Games may include Mastermind, Mancala, Blokus, Tic Tac Toe, Dots and Boxes, poker, Set and/or Yahtzee. General Education: Fulfills Quantitative Reasoning & Mathematical Thinking. Introductory.

**MAT 198Calculus I4 credits**

Presents fundamental concepts of calculus geometrically, numerically and algebraically. Topics include functions, the derivative and an introduction to the integral. Attention is given to using calculus to solve realistic problems. Extensive use of technology. General Education: Fulfills Quantitative Reasoning & Mathematical Thinking. Introductory.

**MAT 199Calculus II4 credits**

Presents fundamental concepts of calculus geometrically, numerically and algebraically. Topics include integration, differential equations, and sequence/series. Attention is given to using calculus to solve realistic problems. Continuation of MAT 198. Extensive use of technology. Introductory.

**MAT 230Algebra and Number Theory 4 credits**

Explores properties of number, operations, functions, and equations in both familiar and unfamiliar contexts. Emphasizes deepening student understanding of fundamental mathematics, as well mathematical processes. Topics include modular arithmetic; Fer-mat’s Theorem; number theory functions; linear, exponential, and polynomial functions; and solving equations. Extensive use of technology. Prerequisite: MAT 132 or MAT 141 or permission of instructor. Intermediate.

**MAT 245Geometry4 credits**

Explores topics such as symmetry, tessellations, polyhedra, topology and Non-Euclidean Geometries. Emphasizes using physical and computer models to create meaning, developing problem solving and communication skills, and constructing convincing mathematical arguments. Includes historical information and connections to art. Extensive use of technology. Prerequisite: MAT 131 or MAT 141 or permission of instructor. Intermediate.

**MAT 255Probability and Statistics4 credits**

Emphasizes descriptive and inferential statistics, with examples chosen from natural and social sciences and mathematics. Includes an introduction to probability, regression, and chi squared testing. Designed for Math/Science majors and minors. Not open to students who have completed MAT 170. Intermediate.

**MAT 335History of Mathematics4 credits**

Examines mathematical problems and solutions in different historical periods and cultures. Studies some of the following: Egyptian, Babylonian, Chinese, Native American, Hindu and European mathematics from prehistoric times through the Renaissance. Considers the lives of mathematicians and contributions of both men and women. Prerequisite: MAT 230 or 245, preferably both. Advanced.

**MAT 340Discrete Mathematics4 credits**

Studies some of the following: counting techniques, logic and mathematical proof, recurrence relationships, the art of enumeration. Topics include permutations and combinations, graph theory and applications to other areas of mathematics. Moderate use of technology. Prerequisite: MAT 230 or permission of instructor. Advanced.

**MAT 390 Mathematics Seminar 4 credits**

Provides an opportunity to work on challenging, open-ended problems while exploring one or several mathematical topics in depth. Topics drawn from different areas of mathematics. Includes projects and presentations; uses technology. Prerequisite: Two inter-mediate or advanced mathematics courses, Junior or Senior standing. Advanced.

**MSC 401Seminar in Critical Thinking 4 credits**

Enables students to develop appropriate research strategies, to collect and analyze data, to evaluate work in progress, to generate and present a research project and to evaluate research of peers and other investigators. Studies scientific methodology, scientific writing and the application of mathematics to science research. Technology use extensive. Open to junior and senior Mathematics/Science majors only. Advanced.