MATH 32 must be taken at Tufts and for a grade. Students will receive an additional two credits (with grade) for passing MATH 32 after receiving credit for MATH 30. Recommendations: High school geometry, algebra, and trigonometry. Differential and integral calculus: limits and continuity, the derivative and techniques of differentiation, extremal problems, related rates, the definite integral, Fundamental Theorem of Calculus, derivatives and integrals of trigonometric functions, logarithmic and exponential functions. MATH 30 is a one-semester calculus course and is not adequate preparation for MATH 34. Recommendations: High school geometry and algebra. Logarithmic and exponential functions with applications. Integration: indefinite and definite integrals, some techniques of integration, Fundamental Theorem of Calculus. Applications of derivatives, curve sketching, extremal problems. Functions and their graphs, limits, derivatives, techniques of differentiation. Recommendations: High school algebra and geometry. Applications from a wide range of disciplines. The course may also include contingency table analysis, and nonparametric estimation. Descriptive data analysis, sampling and experimentation, basic probability rules, binomial and normal distributions, estimation, regression analysis, one and two sample hypothesis tests for means and proportions. Engineering students are not permitted to take MATH 19 for credit. Topics vary but usually include ranking, determining the strength of, and choosing participants in multicandidate and two-candidate elections, and apportioning votes and rewards to candidates. MATH 19 The Mathematics Of Social Choice. Introduction to mathematical methods for dealing with questions arising from social decision making. Engineering students are not permitted to take MATH 16 for credit. In addition, students will learn to identify the symmetries of given patterns (with special emphasis on the periodic drawings of M.C. The main goal is to prove that the symmetries of these patterns fall into seventeen distinct types. A mathematical treatment of the symmetries of wallpaper patterns. Engineering students are not permitted to take MATH 15 for credit.
Emphasis on solving problems in the style and spirit of each culture. Number systems and computational techniques achievements in elementary algebra, geometry, and number theory famous results, proofs and constructions. (Cross-listed as CLS 15) History of mathematics in Babylonian, Egyptian, Greek, and other ancient civilizations. (Math 30 is not a prerequisite.) Engineering students are not permitted to take MATH 14 for credit. MATH 0014 Introduction To Finite Mathematics. Topics selected from financial mathematics, matrix algebra, linear inequalities and linear programming, counting arguments, and statistics and probability.
For up-to-date information on course offerings, schedules, room locations and registration, please visit the Student Information System (SIS). Visit the undergraduate and graduate pages for course requirements for specific programs. Descriptions for special topics seminars are updated each semester. The courses below include descriptions of all undergraduate and graduate courses offered by the Department of Mathematics, though some courses may be taught more often than others. Spring 2023 Offerings Spring 2023 Course Booklet Fall 2023 Offerings Fall 2023 Course Booklet Course Info on SIS Course Advising for New Students Archives Course Descriptions
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