Equivalence Classes and Relations

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Related lectures (39)

Functions: properties and convergence criteria Log in to Mediaspace to watch this video

Explores convergence criteria, function properties, and unique element association.

Limits of Functions: Definitions and Examples Log in to Mediaspace to watch this video

Explains surjective, injective, and bijective functions, along with limits of functions.

Functions and Periodicity Log in to Mediaspace to watch this video

Covers functions, including even and odd functions, periodicity, and function operations.

Application Reciproque and Composition of Applications Log in to Mediaspace to watch this video

Explores the relationships between functions and sets, focusing on composite functions properties.

Limits: Basic Properties and Examples Log in to Mediaspace to watch this video

Covers the basic properties of limits and provides illustrative examples.

Cartesian Products and Equivalence Relations Log in to Mediaspace to watch this video

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.

Applications between Sets: Functions and Graphs Log in to Mediaspace to watch this video

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

Injectivity and Surjectivity Log in to Mediaspace to watch this video

Covers injectivity, surjectivity, and bijectivity in mathematical functions, explaining unique mappings and pre-image existence.

Convergence Criteria: Series & Functions Log in to Mediaspace to watch this video

Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.

Calculating with Taylor, Convexity Log in to Mediaspace to watch this video

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Derivability and Composition of Functions Log in to Mediaspace to watch this video

Explores derivability and function composition with examples.

Level Curves and Graphs of Functions Log in to Mediaspace to watch this video

Covers level curves and graphs of functions in two and three dimensions.

Introduction to Mathematics for Engineers Log in to Mediaspace to watch this video

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Optimization of Functions: Maximum and Minimum Log in to Mediaspace to watch this video

Covers the optimization of functions, focusing on finding the maximum and minimum values.

Periodic Functions: Limits and Compositions Log in to Mediaspace to watch this video

Explores periodic functions, limits, compositions, and properties of even and odd functions.

Taylor Series and Secant Method: Numerical Analysis Techniques Log in to Mediaspace to watch this video

Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.

Continuous Functions and Elementary Functions Log in to Mediaspace to watch this video

Covers the definition and properties of continuous functions on open intervals and elementary functions.

Numerical Analysis: Direct Methods for Linear Systems Log in to Mediaspace to watch this video

Covers direct methods for solving linear systems in numerical analysis.

Eigenvalues and Eigenvectors Log in to Mediaspace to watch this video

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

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