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Fundamental theorem of calculus
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51	Uses of Elementary Calculus Arising in Economics KCB∗ Contents 1 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-11-29 16:42:10 Exponentials Compound interest Economic history Interest Continuous function Derivative Fundamental theorem of calculus Continuous-repayment mortgage Characterizations of the exponential function Mathematical analysis Mathematics Mathematical finance
52	7 Improper Integrals, Exp, Log, Arcsin, and the Integral Test for Series We have now attained a good level of understanding of integration of nice Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-12-03 02:08:23 Integral calculus Functions and mappings Logarithms Integration by parts Fundamental theorem of calculus Integral Natural logarithm Continuous function Derivative Mathematical analysis Mathematics Calculus
53	Lecture 26 Cauchy’s Theorem Last time, we introduced the notion of a differential of a function of two variables f (x, y), namely ∂f ∂f df = Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-12-04 14:02:03 Multivariable calculus Integral calculus Partial differential equations Equations Differential form Fundamental theorem of calculus Derivative Cauchy–Riemann equations Partial derivative Mathematical analysis Calculus Mathematics
54	7 Improper Integrals, Exp, Log, Arcsin, and the Integral Test for Series We have now attained a good level of understanding of integration of nice Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-11-23 17:33:41 Integral calculus Functions and mappings Logarithms Integration by parts Fundamental theorem of calculus Integral Natural logarithm Continuous function Derivative Mathematical analysis Mathematics Calculus
55	Math 1a[removed]Homework Assignment 5 Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-04 11:29:00 Fourier analysis Function Generalized functions Fundamental theorem of calculus Antiderivative Mathematical analysis Mathematics Functions and mappings
56	Notes on Calculus by Dinakar Ramakrishnan[removed]Caltech Pasadena, CA[removed]Fall 2001 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-11-16 19:13:50 Integral calculus Integration by substitution Fundamental theorem of calculus Antiderivative Integration by parts Integral Trigonometric functions Mean value theorem Chain rule Mathematical analysis Calculus Mathematics
57	NATIONAL COUNCIL FOR HIGHER EDUCATION Minimum Standards for courses of study in Mathematics and Economics 2005 Add to Reading List Source URL: www.unche.or.ug Language: English - Date: 2014-04-04 09:59:55 Differential calculus Calculus Integral calculus Integral Fundamental theorem Real analysis Trigonometric functions Derivative Generalizations of the derivative Mathematical analysis Mathematics Functions and mappings
58	Lecture 17: Numerical integration Last time, we developed the fundamental theorem of Calculus which allows us to calculate explicitly many integrals, the integrals of traditional calculus. The idea is that there is a lib Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-11 11:11:14 Integral calculus Functions and mappings Numerical integration Numerical analysis Fundamental theorem of calculus Integral Antiderivative Derivative Riemann sum Mathematical analysis Calculus Mathematics
59	Chapter 6 Line Integrals A basic problem in higher dimensions is the following. Suppose we are given a function (scalar field) g on Rn and a bounded curve C in Rn , can one define a suitable integral of g over C? We can Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2010-05-05 16:03:01 Vector calculus Complex analysis Integral calculus Line integral Fundamental theorem of calculus Closed and exact differential forms Vector field Gradient Trigonometric functions Mathematical analysis Calculus Mathematics
60	Lecture 16: The fundamental theorem Differentiation and integration are not unrelated, which is why calculus is a subject. As their names suggest, in a certain sense, they are opposites. We will be precise about what sen Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-08 11:29:05 Integral calculus Fundamental theorem of calculus Integral Integration by substitution Antiderivative Differential of a function Derivative Riemann integral Continuous function Mathematical analysis Calculus Mathematics

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