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MTH 141: Calculus I
4.00 Credits
University of Rochester
Analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverses and composites. Their graphs, derivatives, and integrals. Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications. MTH 141, 142, and 143 is a three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162.
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MTH 141 - Calculus I
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MTH 141A: Calculus With Foundations
4.00 Credits
University of Rochester
This course is a continuation of MTH 140A. It combines and integrates the learning of calculus together with precalculus mathematics. MTH 141A (together with its prerequisite MTH 140A) covers all the material in MTH 141, together with a thorough presentation of the standard `precalculus' material.
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MTH 141A - Calculus With Foundations
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MTH 142: Calculus Ii
4.00 Credits
University of Rochester
This course will consist of applications of the finite integrals, techniques of integration, calculus of the transcendental functions, improper integrals and the use of l'Hopital's rule.
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MTH 142 - Calculus Ii
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MTH 143: Calculus Iii
4.00 Credits
University of Rochester
This is the third semester of a three-semester calculus sequence. Topics include improper integrals, l'Hopital's rules, infinite sequences and series, Taylor's series, three-dimensional geometry and vector algebra, curves in space, partial derivativess.
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MTH 143 - Calculus Iii
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MTH 150: Discrete Mathematics
4.00 Credits
University of Rochester
Logic, functions, algorithms, mathematical reasoning, mathematical induction, recurrence relations, techniques of counting, equivalence relations, graphs, trees, as well as specific questions given by the "Towers of Hanoi", and Euler's "7 bridges of Konigsberg problem". Required for Computer Science majors.
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MTH 150 - Discrete Mathematics
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MTH 150A: Discrete Math Module
1.00 Credits
University of Rochester
Passing the course will grant a waiver to the MTH 150 requirement for the Computer Science program, but does not fulfill any other requirements that MTH 150 may fulfill.
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MTH 150A - Discrete Math Module
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MTH 161: Calculus Ia
4.00 Credits
University of Rochester
This is an introductory calculus course, intended for students whose interests lie in the physical sciences and engineering. The course requires a thorough command of high school algebra and some knowledge of trigonometry. Topics include: analysis of the elementary real functions: algebraic, trionometric, exponentials and their inverses and composites; their graphs, derivatives and integrals; limits, l'Hopital's rules, Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications.
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MTH 161 - Calculus Ia
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MTH 162: Calculus Iia
4.00 Credits
University of Rochester
This course is a continuation of MTH 161. It covers techniques of integration, improper integrals, applications of integration, parametric and polar equations, infinite series, Taylor's series, vectors in two and three dimensions, lines and planes, vector-valued functions, velocity and acceleration, arc length, curvature.
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MTH 162 - Calculus Iia
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MTH 162Q: Quest Calculus Iia
4.00 Credits
University of Rochester
This is the second semester of the Quest version of MTH 161-162 which places emphasis on understanding concepts as well as on learning techniques. The Quest versions of MTH 161-2 are considered to be year-long courses; both semesters will be taught by the same professor. The course introduces the techniques of the differential and integral calculus of functions; reinforces algebraic manipulation and trig techniques learned in high school; provides tools for use in other disciplines; uses proofs to make the techniques a coherent whole rather than a set of isolated tricks; rigorous proofs. Topics covered include the analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverse and composites. Their graphs, derivatives, and integrals. Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications.
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MTH 162Q - Quest Calculus Iia
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MTH 163: Ord. Differential Equations
4.00 Credits
University of Rochester
This course concentrates on the foundations of the subject, emphasizing those techniques which are important in physics and engineering. The emphasis in this course, as in the other calculus courses, is on learning techniques for solving, or at least understanding, certain equations (which occur frequently in physics and engineering), rather than on the theoretical aspects of the subject. Topics covered: first order differential equations, linear equations, and systems with constant coefficients, solutions in series, phase plane analysis and stability.
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MTH 163 - Ord. Differential Equations
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