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Course Title:
Course Title:

... This course presents a preliminary introduction to Calculus for students who will likely specialize in business, economics, management, life and social sciences. Calculus plays an important role in these areas. It is the mathematics of change and we, of course, live in a constantly changing world. T ...
07-ch7 logical agents-part1 - PNU-CS-AI
07-ch7 logical agents-part1 - PNU-CS-AI

... Describes how a problem is solved. This type of knowledge provides direction on how to do something. ...
$doc.title

... notation of formal mathematical logic. 1. Formal logic is much older than AI or computer science. Formal logic is a mathematical formalism for reasoning about assertions. 2. Formal logic is not only used by mathematicians, but also by philosophers. Here at Gordon, the philosophy department teaches a ...
The Euler Circular-Reasoning Gap
The Euler Circular-Reasoning Gap

... take one for granted, you can show the other, such that the two definitions are equivalent. And, invariably, every textbook I have examined has either assumed one and shown the other, or else skipped the interplay alltogether. However, a definitional, and hence axiomatic assumption should be reserve ...
Indefinite Integrals Calculus
Indefinite Integrals Calculus

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... of infinitesimal change. G.W. Leibniz’s derivation of calculus made extensive use of “infinitesimal” numbers, which were both nonzero but small enough to add to any real number without changing it noticeably. Although intuitively clear, infinitesimals were ultimately rejected as mathematically unsou ...
7.4 - The Fundamental Theorem of Calculus
7.4 - The Fundamental Theorem of Calculus

PDF
PDF

Assignments Derivative Techniques
Assignments Derivative Techniques

Lecture 6.6 - Montana State University
Lecture 6.6 - Montana State University

... The  area  between  the  curves  represents   the  amount  of  electricity  saved  after  new   regulations  were  put  into  effect  in  CA,  from   1974  to  2006,  when  compared  to  kWh  per   Capita  in  the  US.   The  area ...
Relational Algebra - CIS @ Temple University
Relational Algebra - CIS @ Temple University

... Comes in two flavors: Tuple relational calculus (TRC) and Domain relational calculus (DRC).  Calculus has variables, constants, comparison ops, logical connectives and quantifiers. ...
leibniz, bernoulli and the logarithms of negative numbers
leibniz, bernoulli and the logarithms of negative numbers

... common logarithm of a number is the Index of that power of 10 which is equal to the number.” Only a few years after this, Euler would also define logarithms in terms of exponents in his Introductio in Analysin written in 1745 and published in 1748. Between 1745 and 1749, Euler both corresponded with ...
Chapter 9 Geometric Applications of Definite Integrals
Chapter 9 Geometric Applications of Definite Integrals

Planning-Situation
Planning-Situation

Derivatives and Integrals Involving Inverse Trig Functions
Derivatives and Integrals Involving Inverse Trig Functions

Derivatives and Integrals Involving Inverse Trig Functions
Derivatives and Integrals Involving Inverse Trig Functions

Path Properties - UNL Math Department
Path Properties - UNL Math Department

Relational Algebra and Calculus
Relational Algebra and Calculus

5.5 Linearization and Differentials - District 196 e
5.5 Linearization and Differentials - District 196 e

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Lecture 13 : Wednesday April 30th

Sections 1.10-1.11
Sections 1.10-1.11

... WARNING 2: We will treat the domain of P as 0,  , even though one could argue that the domain should only consist of integers. Be aware of this issue with applications such as these. § Solution ...
PreCalculus
PreCalculus

BARENDREGT`S LEMMA Dedicated to Henk Barendregt, in
BARENDREGT`S LEMMA Dedicated to Henk Barendregt, in

Course Title:
Course Title:

... This Calculus course aims at preparing students for success in college-level Math. At the foundation of mathematics is the idea of a function. Functions express the way one variable quantity is related to another quantity. Calculus was invented to deal with the rate at which a quantity varies, parti ...
Finding the Equation of a Tangent Line
Finding the Equation of a Tangent Line

... calculate the slope-intercept formula for the line. ...
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History of calculus



Calculus, known in its early history as infinitesimal calculus, is a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series. Isaac Newton and Gottfried Leibniz independently invented calculus in the mid-17th century. However, each inventor claimed that the other one stole his work in a bitter dispute that continued until the end of their lives.
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