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Calculus II

by: Miss Earnestine Bernier

Calculus II MATH 2854

Miss Earnestine Bernier

GPA 4.0


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Class Notes
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This 2 page Class Notes was uploaded by Miss Earnestine Bernier on Thursday October 22, 2015. The Class Notes belongs to MATH 2854 at University of Arkansas-Fort Smith taught by Staff in Fall. Since its upload, it has received 33 views. For similar materials see /class/226540/math-2854-university-of-arkansas-fort-smith in Mathematics (M) at University of Arkansas-Fort Smith.


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Date Created: 10/22/15
Credit Hours 4 University of Arkansas Fort Smith 5210 Grand Avenue PO Box 3649 Fort Smith AR 72913 4797887000 General Syllabus MATH 2854 CALCULUS II Lecture Hours 4 Prerequisite MATH 2804 Calculus 1 Effective Fall 2007 I Course Information A Catalogue Description Physical applications of integration techniques of integration sequences and series conic sections parametric equations in two and three dimensions and polar coordinates Appropriate technology is used to discover relationships and work problems not usually possible to work by hand 11 A Student Learning Outcomes Subject Matter Upon completion of this course the student should be able to 1 2 WNQM W O find centroids of planar lamina and calculate the work done by a variable force use as needed the following techniques to integrate functions integration by parts trigonometric substitution and decomposition into partial fractions utilize tabulated integration formulas to Obtain antiderivatives graph conic sections evaluate limits of indeterminate form using L Hopital s rule recognize and evaluate improper integrals determine the existence of limits of infinite sequences utilize the following tests appropriately to determine the convergence 0r divergence infinite series direct comparison limit comparison alternating series ratio and root tests expand transcendental functions as Taylor series representations and determine the relevant interval of convergence determine parametric equations of curves in the plane and lines in space and use these parametric representations to determine arclength convert two dimensional points and equations between rectangular and polar coordinates III omwuowgt B General Education Abilities This course enhances student abilities in the following general education areas Quantitative Reasoning Level Reinfarcement Students will learn advanced techniques for the solution of problems and derivation of formulas relating to 0 cumulative effects of variable quantities 0 numerical approximation and 0 multiple quantities dependent on a single variable Technological Literacy Level Reinfarcement Knowledge of fundamental concepts behind numerical approximation techniques significantly enhances student understanding of technology its applications and its limitations Analytical Skills Level Reinfarcement Students will gain new understanding of the analysis of changing quantities will learn new techniques of identifying optimal solutions and predicting long range behavior and will learn to analyze cumulative effects through analysis of component pieces Advanced techniques of integration and concepts of parametric equations increase students39 comprehension of such scientific concepts as velocity acceleration force energy and molecular structure Major Course Topics Physical Applications of Integration Methods of Integration Integration by Parts and Tables of Integration Indeterminate Forms and Improper Integrals Infinite Sequences and Series Tests for Convergence of a Series Taylor and Maclaurin Series Conic Sections and Graphs Polar Coordinates and Graphs of Polar Equations Parametric Equations


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