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Lecture
Real Functions: Definitions and Properties
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Related lectures (44)
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal 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.
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Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Real Functions: Definitions and Examples
Explores definitions and examples of real functions of a real variable.
Real Functions: Graphs and Properties
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Function Properties: Injective, Surjective, Bijective
Explains injective, surjective, and bijective functions using examples and graphs.
Mathematics: Analysis and Algebra Overview
Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.
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.
Real Functions: Definitions and Properties
Covers real functions' definitions, properties, periodicity, and reciprocity, including maximum, minimum, and composition of functions.
Continuity and Fixed Points: Understanding Functions
Explores continuity, fixed points, and bijective functions in graphs.
Definitions and Notations
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Covers the definitions and notations related to functions.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Real Functions of Real Variables: Properties and Domains
Covers the properties of real functions, domains, and types of functions, including periodicity.
Mathematical Analysis: Functions and Composition
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Covers the analysis of functions, composition, and mathematical induction.
Convex Functions
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Covers the properties and operations of convex functions.
Functions and Periodicity
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Covers functions, including even and odd functions, periodicity, and function operations.
Advanced Analysis II: Tangent Plan and Differentiability
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Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.
Graphical Definition: Level Sets and Domains
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Covers the graphical definition of functions, focusing on level sets and domains.
Real Functions: Definitions and Properties
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Explores real functions, covering parity, periodicity, and polynomial functions.
Functions and Integers
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Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
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