Lectures related to Model Extension and Composition of Functions

Real Functions: Definitions and Properties

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

Applications between Sets: Functions and Graphs

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

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

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.