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Course Criteria
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3.00 Credits
Basic concepts of statistics. Data collection (sampling, designing experiments), data organization (tables, graphs, frequency distributions, numerical summarization of data), statistical inference (elementary probability and hypothesis testing). Prerequisite: two years of high school algebra.
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3.00 Credits
An elementary introduction to the connections between mathematics and musical sound. Review of integers, ratios, prime numbers, functions, rationality, exponents, logarithms, trigonometry. Review of scales, clefs, key signatures, intervals, time signatures. Frequency and pitch. The connection between intervals and logarithms. Tuning and temperament, just intonation. Scales and modular arithmetic. The mathematics of harmony; the sound of the low prime numbers and their roles in harmony. Harmonics, partials, and overtones. Numerical integration and basic Fourier analysis. The nature of complex tones. Analysis of instrument sounds. Human vowels and formants. Prerequisites: two years of high school algebra, and trigonometry.
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3.00 Credits
An introduction to calculus of algebraic, logarithmic, and exponential functions. Functions and graphs, the derivative, techniques of differentiation, applications of the derivative to rates of change, max/min problems, and curve sketching. The definite integral, the Fundamental Theorem of Calculus, integration by substitution, applications of the integral. Intended for students in business, economics and the social sciences who want a one- or two-semester introduction to the subject. Students planning to take Math 233 should enroll instead in Math 131, followed by Math 132. Prerequisites: high school algebra and precalculus.
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3.00 Credits
Continuation of Math 127. Additional techniques of integration, introduction to partial derivatives and multiple integrals; topics in differential equations, approximation by polynomials, probability, and calculus of trigonometric functions. Intended for students in business, economics and social sciences who want a 1 or 2 semester introduction to the subject. Students planning to take Math 233 should enroll instead in Math 132. Prerequisite: Math 127 or the equivalent.
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3.00 Credits
Special short summer course for incoming students. Derivatives of algebraic, trigonometric, and transcendental functions, techniques of differentiation and applications of the derivative. The definite integral and Fundamental Theorem of Calculus. Areas. Simpler integration techniques. Prerequisites: high school algebra and precalculus (including trigonometry).
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3.00 Credits
Derivatives of algebraic, trigonometric, and transcendental functions, techniques of differentiation and applications of the derivative. The definite integral and Fundamental Theorem of Calculus. Areas. Simpler integration techniques. Prerequisites: high school algebra and precalculus, including trigonometry.
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3.00 Credits
Continuation of Math 131. A brief review of the definite integral and Fundamental Theorem of Calculus. Techniques of integration, applications of the integral, sequences, and series, and some material on differential equations. Prerequisite: Math 131 or a B or better in a one-year high school calculus course, or permission of the department.
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4.00 Credits
An introduction to multivariable calculus covering most of the material in Math 233 but at a greater level of rigor. For purposes of major requirements, this course can replace Math 233 (Calculus III). Enrollment limited to 15. Open only to freshmen with a score of 5 on the AP Calculus Exam (BC version). However, some students with this score may nevertheless be better served by Math 233. Consultation with the department or instructor recommended before enrolling. Students cannot receive credit for both Math 201 and Math 233.
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4.00 Credits
Introduction to ordinary differential equations: first-order equations, linear equations, systems of equations, series solutions, Fourier series methods, Laplace transform methods, numerical solutions, computer-aided study of differential equations, graphics phase planes. Prerequisite: Math 233 (or Math 233 concurrently).
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3.00 Credits
Topics selected from number theory, combinatorics, and graph theory. Methods of proof and practical applications: for example, calendars, scheduling, communications, encryption. Prerequisite: high school algebra.
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