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Course Criteria
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4.00 Credits
F and S, honors section. Techniques of integration; rectangular, cylindrical, and spherical coordinate systems; vectors; partial derivatives; multiple integrals; and an introduction to sequences and series. Prerequisite: Completion of Mathematics 160 or 161 with a grade of C- or above. Laboratory. First-year students with advanced placement credit for Mathematics 161 should normally enroll in section AP.
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1.00 Credits
F. An introduction in seminar format to several different topics in mathematics not otherwise part of the undergraduate program. Topics vary by semester, but will include both classical and recent results and both theoretical and applied topics. The goals of the course are to acquaint students with the breadth of mathematics and to provide opportunity for students interested in mathematics to study these topics together. All first-year students interested in mathematics (regardless of prospective major program) are welcome to register. This course will be graded on a credit/ no-credit basis.
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4.00 Credits
F and S. Linear programming: basic concepts, spreadsheet modeling, applications. Network optimization, decision analysis, queuing, computer simulations. Prerequisite: Information Systems 171, Business 160, Mathematics 143. Open to first year students only with permission of instructor.
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4.00 Credits
F and S. This course provides prospective elementary school teachers with background needed for teaching elementary mathematics. Both content and methodology relevant to school mathematics are considered. Topics covered include the real number system and its sub-systems. Pedagogical issues addressed include the nature of mathematics and of mathematics learning and the role of problem solving and the impact of technology in the elementary school mathematics curriculum. Prerequisites: Not open to first year students except by permission of the instructor.
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4.00 Credits
F and S. This course is a continuation of Mathematics 221. Both content and methodology relevant to teaching geometry, probability, and statistics in elementary school are considered. Topics covered include basic geometric concepts in two and three dimensions, transformational geometry, measurement, probability, and descriptive and inferential statistics. Pedagogical issues addressed include the place of geometry, probability, and statistics in the elementary school curriculum, use of computers in mathematics, and the development of geometric and probabilistic thinking. Prerequisite: Mathematics 221 or permission of the instructor.
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4.00 Credits
F and S. An introduction to solutions and applications of first and second-order ordinary differential equations including Laplace transforms, elementary linear algebra, systems of linear differential equations, numerical methods and non-linear equations. Prerequisites: Mathematics 162 and experience in computer programming.
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4.00 Credits
F and S. A study of topics from vector calculus, linear algebra, and statistics that are useful to engineers. Topics include vector fields, line and surface integrals, Gaussian elimination and matrix factorization, vector spaces, linear independence and basis, orthogonal projection, least squares approximation, descriptive statistics, probability, statistical inference, and regression. Students may not receive credit for this course and any of Mathematics 243, 255, or 261. Prerequisite: Mathematics 231.
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4.00 Credits
S. Data analysis, data collection, random sampling, experimental design, descriptive statistics, probability, random variables and standard distributions, Central Limit Theorem, statistical inference, hypothesis tests, point and interval estimates, simple linear regression. Examples will be chosen from a variety of disciplines. Computer software will be used to display, analyze and simulate data. Prerequisite: Mathematics 162.
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4.00 Credits
F and S. An introduction to mathematical reasoning, elementary number theory and linear algebra, including applications for computer science. Prerequisites: Mathematics 161 and Mathematics 156 or 162.
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4.00 Credits
F and S. Infinite series, Taylor series, curves and motion in space, functions of several variables, line and surface integrals, and vector calculus. Prerequisite: Mathematics 162.
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