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Integral Calculus

tipo de documento Mathematics - Teaching sequence

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Integral Calculus

Worksheet overview

Description:

Thanks to the work of Barrow, Newton and Leibniz (the creators of infinitesimal calculus), two paths which had developed separately throughout the history of mathematics, for over more than 20 centuries, were combined in what is now known as integral calculus. One of the paths, the search for formulae to find the area of plane regions, dates back to the ancient Greek mathematicians. The other path emerged to develop the concept of the derivative, by looking for a reciprocal operation.

Teaching orientation:

KNOWLEDGE TYPE: declarative, procedural

LEARNING OBJECTIVES: Know and apply the concepts of the definite and indefinite integral. Interpret the definite and indefinite integral geometrically. Find relations between the problems of calculating areas and antiderivatives using Barrow's rule. Use the integral in basic geometric applications to calculate areas.

PRIOR KNOWLEDGE: The contents required are explained in this course. The contents of this course is taught in the next.

License:

creative commons: attribution - non commercial - share alike

License description:

The use of the following contents is universal, free of charge and open, provided that it is for noncommercial educational use. The actions, products and utilities derived from its use are therefore not allowed to generate any profit. Moreover, the reference to the source is required.ver más

End user:

learner

Context:

schoolmate

General

Language:

english

KeyWords:

definite integral indefinite integral finding definite integrals geometric applications problem of finding areas

Scope:

universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection:

Descartes

Node:

INTEF

Technique

text/html

Format: Size:

image/gif

474838

Requerimientos:

Requirement type:	Requirement name:
Requirement type: browser	Requirement name: any
Requirement type: operating system	Requirement name: multi-os

Installation considerations:

Installation is not required.

Other platform requirements:

Locally install and enable the Java interpreter and the Descartes applet plug-in.

Educational use

Educational learning resource type:

real or virtual learning environment

Interaction type:

mixed

Interaction level:

high

Semantic density:

medium

Age:

17 years

Difficulty:

medium

Learning time:

4 teaching units

Educational language:

english

Cognitive process:

analyse explainobserve

Rights

License cost:

Access type:

universal

Access description:

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