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Range of a function
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Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Group Theory: Definitions and Properties
Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.
Introduction to Functions
Covers the basics of functions, including domain, codomain, image, and range, as well as injections, surjections, and bijections.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Function Prototyping
Covers the importance of prototyping functions before using them, providing examples and best practices to follow.
Linear Application Image and Rank
Discusses the image of a linear application, its rank, and related concepts in linear algebra.
Control Flow in Python: Conditional Statements and Loops
Covers control flow in Python, focusing on conditional statements and loops.
Programming Basics: Control Structures and Functions
Introduces fundamental programming concepts in Python, focusing on control structures like conditions and loops.
Topology: Exploring Cohomology and Quotient Spaces
Covers the basics of topology, focusing on cohomology and quotient spaces, emphasizing their definitions and properties through examples and exercises.
Linear applications and independence
Explores linear applications and their impact on vector space independence.