Model Extension and Composition of Functions

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Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

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Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

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Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Terminologie: Functions Graph Discussion MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the terminology related to the graph of a function and intervals.

Transformations Affines MOOC: Analysis I MOOC: Analysis I (part 4) : Limit of a function, continuous functions

Covers the concept of affine transformations in functions, including shifting and compressing functions.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

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Algebraic Identities and Trigonometry

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Real Functions: Graphs and Properties

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Linear Algebra: Matrices and Linear Applications

Covers matrices, linear applications, vector spaces, and bijective functions.

Sets and Functions

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Real Functions: Definitions and Properties

Covers real functions' definitions, properties, periodicity, and reciprocity, including maximum, minimum, and composition of functions.

Functions: Inverse, Composition, and Graphs

Covers inverse functions, function composition, partial functions, and graphs of functions.

Group Theory: Basics

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Composition of Functions MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Explores the composition of functions, defining new functions by combining existing ones and showcasing the associative property of function composition.

Sets, Functions and Relations: Summary of Week 4

Covers sets, functions, and relations, including functions' properties and binary relations.

Linear Algebra: Applications and Definitions

Covers the definition of applications, image of elements, and direct and reciprocal images.

Mathematical Analysis: Functions and Composition Log in to Mediaspace to watch this video

Covers the analysis of functions, composition, and mathematical induction.

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