Calculus Público

Calculus

Luke Danaher
Curso por Luke Danaher, actualizado hace más de 1 año Colaboradores

Descripción

This module covers by far the most definitions and theorems this year so be wary. There are 6 chapters: mathematical language, functions, Differentiation, Applications of Differentiation, Integration and the Applications/techniques of integration.

Información de los módulos

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This gos through the fundamental language in mathematics, and introduces set theory. Some of the proofs are also shown in the 'Numbers, Sequences & Series' module.
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This goes mainly through all the rules off domain and ranges of functions, as well as what it means for a function to be injective and surjective. Other parts can be found in John's notes
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Goes through the important theorems and proofs like Rolles Theorem so learn all of them well.
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Expanding on Chapter 3, this looks at more of the real world problems, associated with the derivative.
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This chapter looks importantly at the anti derivative method, known as integration. Like chapter 3, there are a lot of theorems and proofs to learn so be wary.
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Expanding on chapter 5, there are again real world situations where the process of finding an anti derivatives comes to find solutions to those problems.
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