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Related lectures (29)
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Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Properties of Continuous Functions
Covers the properties of continuous functions and explores inverse and injective functions with examples.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
How to Compute Derivatives?: Analysis 1 Lecture 18
Covers continuity, differentiation, and algebraic operations, including the computation of derivatives for various functions.
Functions: Inverse, Composition, and Graphs
Covers inverse functions, function composition, partial functions, and graphs of functions.
Inverse Functions: Guided Exercises
Covers guided exercises on inverse functions and the composition of functions.
Linear Applications: Some Basic Concepts
Introduces the basic concepts of linear applications, including injective, surjective, and bijective functions, along with function composition.
Sets, Functions and Relations: Summary of Week 4
Covers sets, functions, and relations, including functions' properties and binary relations.
Functions: Inverse, Composition, and Graphs
Covers inverse functions, function composition, partial functions, and graphical representation of functions.
Inverse Function Theorem
Covers the inverse function theorem, Jacobian matrix, injective functions, bijective functions, and spherical coordinates.
Local Invertibility: Vector Fields
Covers local invertibility of vector fields and the Inverse Function Theorem.
Composition of Functions: Application and Reciprocal Functions
Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.
Advanced Analysis II: General Variable Change
Explores general variable change in advanced analysis with practical examples.
Change of Coordinates: Analysis Week 8
Explores changing coordinates, bijective functions, Jacobian matrices, and reciprocal functions in analysis.
Functions: Limits and Continuity
Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.
Cartesian Products and Equivalence Relations
Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, 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.
Inverse Function Identity
Explains the inverse function identity and provides examples with ln(x), sin(x), and cos(x).
Functions: Limits, Continuity, Differentiability
Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.
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