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Course Criteria
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2.00 Credits
This course is an introduction to statistical computing using the Excel and Minitab software packages. (Permission of instructor) Class 2, Credit 2 (W, S)
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1.00 Credits
This course integrates the learning of calculus concepts with precalculus. A study of functions, particularly polynomial and rational functions, exponential and logarithmic functions and their graphical representations and algebraic manipulation are covered. Limits of functions, one-sided limits, continuity, and derivatives, including basic rules of differentiation, chain rule and implicit differentiation of polynomials, rational functions and exponential functions, are also part of this course. (Two years of high school mathematics and a score between 35% and 55% on the School of Mathematical Sciences Placement Exam) Class 3, Workshop 1, Credit 4 (F, W, S)
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1.00 Credits
This is the second course in the sequence that integrates the learning of calculus concepts with precalculus. Related rates, and a study of trigonometric functions and inverse functions and their graphical representations, and algebraic manipulation, and their differential calculus are covered. (A grade of "C" or better in 1016-261 ) Class 3 , Workshop 1 , Credit 4 (F, W, S)
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4.00 Credits
This course is an introduction to discrete mathematics with applications in computer science and mathematics with an emphasis on proof techniques. Sets, functions, the natural numbers, the integers modulo n and simple combinatorics are covered. (Corequisites: 1016-272 or 1016-282 or permission of instructor) Class 4, Credit 4 (F, W, S) *X, extended day (after 5 p.m.)
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2.00 Credits
This is the fi rst course in a sequence of four courses. The fi rst three courses in this sequence cover the equivalent of our current Project-based Calculus I, II, with algebra and trigonometry inserted into the curriculum in a "just in time"fashion. The course consists of a study of functions, continuity, and differentiability. The study of functions includes the defi nition, representations and the trigonometric functions. Limits of functions are used to study continuity and differentiability. The study of the derivative includes the defi nition, the basic rules including the chain rule, implicit differentiation. Applications of the derivative include problems in related rates. (Three years of high school mathematics and a score between 55% and 75% on the School of Mathematical Sciences Placement Exam) Class 4, Workshop 2, Credit 4 (F, W, S)
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2.00 Credits
This is the second course in a sequence of four courses. The fi rst three courses in this sequence cover the equivalent of our current Project-based Calculus I, II, with algebra and trigonometry inserted into the curriculum in a "just in time" fashion. The course consists of a study of applications of differentiation to curve sketching, optimization problems, Newton's method, and linear approximations. The course also covers indeterminate forms, antidifferentiation, Riemann Sums, the Fundamental Theorem of Calculus, and the calculus of the natural logarithmic and inverse trigonometric functions. (Grade of "C"or better in either 1016-271 or 1016-262) Class 4, Workshop 2, Credit 4 (F, W, S)
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2.00 Credits
This is the third course in a sequence of four courses. The fi rst three courses cover the equivalent of our current Project-based Calculus I and Calculus II, with algebra and trigonometry inserted into the curriculum in a "just in time" fashion. The course consists of a study of techniques of integration, applications of the defi nite integral and improper integrals. The techniques of integration by substitution, integration by parts, and partial fractions. The applications of the defi nite integral include areas between curves, volumes, work, arclength, and average values of functions. (Grade of "C" or better in1016-272) Class 4, Workshop 2, Credit 4 (F, W, S)
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2.00 Credits
This is the fi rst course in a sequence of three courses. Project-based Calculus is intended for students majoring in mathematics, science or engineering with the major emphasis on understanding the concepts and using them to solve a variety of physical problems. Project-based Calculus I covers two-dimensional analytic geometry, functions, limits, continuity, the derivative and its formulas, and applications of the derivative. (Three years of high school mathematics and a grade of 75% or higher on the School of Mathematical Sciences Placement Exam) Class 4, Workshop 2, Credit 4 (F, W)
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2.00 Credits
This is the second course in a sequence of the three courses. Project-based calculus is intended for students majoring in mathematics, science or engineering with the major emphasis on understanding the concepts and using them to solve a variety of physical problems. Project-based Calculus II covers optimization problems and Newton's method, integral calculus and techniques of integration with emphasis on applications of integration. (Grade of "C" orbetter in 1016-281) Class 4, Workshop 2, Credit 4 (F, W, S)
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2.00 Credits
This is the third course in a sequence of three courses. Project-based calculus is intended for students majoring in mathematics, science or engineering with the major emphasis on understanding the concepts and using them to solve a variety of physical problems. Major themes for Calculus III are solving basic differential equations, learning how to represent functions by infi nite series, and studying the concepts of convergence and divergence of series. (Grade of "C" or better in 1016-282 or 1016-273 ) Class 4 , Workshop 2 , Credit 4 (F, W, S)
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