Calculus II: MATH 2564 at NorthWest Arkansas Community College - Spring 2002, Exams of Mathematics

Download Calculus II: MATH 2564 at NorthWest Arkansas Community College - Spring 2002 and more Exams Mathematics in PDF only on Docsity! NorthWest Arkansas Community College Division of Science and Mathematics Spring 2002 Course Number: MATH 2564 Calculus II Catalog Description A continuation of MATH 2554. Topics include inverse trigonometric functions, hyperbolic function, exponential and logarithmic functions, techniques of integration, indeterminate forms, improper integrals, infinite series, conic sections, parametric curves, and polar coordinates. Prerequisite MATH 2554 with a grade of C or better, or appropriate placement scores or consent of instructor. Credit/Contact/Load Hours 4 credit hours, 4 contact hours, 4 load hours Target Audience and Transfer This course is designed for transfer students who are interested in technical or science based fields. It is the second in a sequence of three differential and integral calculus courses and transfers as such. General Course Objectives Upon successful completion of this course students should exhibit mastery of certain knowledge and basic skills. These skills will include, but not be limited to: 1) Applications of integration including area, volume, surface area, and work 2) Use of basic integration techniques including: u-substitution, integration by parts, trigonometric integrals, trigonometric substitution, partial fractions 3) Evaluate improper integrals 4) Use L’Hopital’s Rule to evaluate limits of indeterminate form 5) Determine convergence or divergence of infinite series 6) Represent various functions using power series (including Taylor and Maclaurin series) 7) Convert among rectangular, polar and parametric forms 8) Apply calculus techniques using polar coordinates and parametric equations 9) Identify basic properties of and graph conic sections Required Text: Calculus, Early Transcendental Functions, Third Edition Larson, Hostetler , Edwards. Houghton Mifflin Co. 2003. Required Topics: Section Topic 6.1 Area of a Region Between Two Curves 6.2 Volume: The Disc Method 6.3 Volume: The Shell Method 6.4 Arc Length and Surfaces of Revolution 6.5 Work 7.1 Basic Integration Rules 7.2 Integration by Parts 7.3 Trigonometric Integrals 7.4 Trigonometric Substitution 7.5 Partial Fractions 7.7 Indeterminate Forms and L’Hopital’s Rule 7.8 Improper Integrals 8.1 Sequences 8.2 Series and Convergence 8.3 The Integral Test and p-Series