MATH-1620: Calculus II 1 MATH-1620: CALCULUS II Cuyahoga Community College Viewing: MATH-1620 : Calculus II Board of Trustees: November 2020 Academic Term: Fall 2021 Subject Code MATH - Mathematics Course Number: 1620 Title: Calculus II Catalog Description: Second of three-semester sequence. Includes the study of applications of the denite integral, techniques of integration, indeterminate forms, improper integrals, sequences, series, conic sections, parametric equations and polar coordinates. Credit Hour(s): 5 Lecture Hour(s): 5 Lab Hour(s): 0 Other Hour(s): 0 Requisites Prerequisite ...
MATH101–Integral Calculus with Applications to Physical Sciences and Engineering Learning Objectives Session 2013W Term 2 Course-level learning goals: In this course students will learn the basic ideas, tools and techniques of integral calculus and will use them to solve problems from real-life applications. In particular, students will learn • to perform integration and other operations for certain types of functions and carry out the computation uently; • approximation techniques for integration; • to determine whether a sequence or a ...
Basic Calculus on Time Scale with Mathematica ¨ Ahmet Yantr and Unal Ufuktepe Izmir Institute of Technology, Department of Mathematics , Urla, Izmir, TURKEY ahmetyantir@iyte.edu.tr unalufuktepe@iyte.edu.tr Communicated by Hidekazu Takahashi Abstract. Mathematical modeling of time dependent systems are al- ways interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical devel- opment from ancient to the modern times. By the discovery of the time scales, the problem of irregular controlling of ...
Mathematics 136 – Calculus 2 Exam 3 – Solutions for Review Sheet Sample Problems November 18, 2016 Review problems There is a selection of review problems posted on WebAssign as an optional assignment. I have increased the number of tries on each problem to the maximum possible – 100. Sample problems Note: The actual exam will be considerably shorter than the following list of questions and it might not contain questions of all of these types. The purpose here is ...
DIFFERENTIAL CALCULUS WITH INTEGERS ALEXANDRUBUIUM Abstract. Ordinary dierential equations have an arithmetic analogue in which functions are replaced by numbers and the derivation operator is re- placed by a Fermat quotient operator. In this survey we explain the main motivations, constructions, results, applications, and open problems of the theory. The main purpose of these notes is to show how one can develop an arithmetic analogue of dierential calculus in which dierentiable functions x(t) are replaced by integer numbers n and ...
Math 208 - Calculus II November 13, 2006 Solutions to selected problems in chapter 12 Section 12.7 (On page 784) Test the series for convergence or divergence. ∞ 27. X klnk3. (k +1) k=1 ∞ Solution. Note that klnk ≤ klnk = lnk. Hence, by Comparison Test, X klnk 3 3 2 3 (k +1) k k (k +1) Z k=1 ∞ ∞ t is convergent if X lnk is convergent. But lnk dx = lim &minus ...
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