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Related lectures (35)
Definitions and Notations
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Covers the definitions and notations related to functions.
Functions on R^n: Limits and Partial Differentiation
Delves into functions on R^n, covering limits and partial differentiation.
Understanding Microcontrollers: Functions
Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Convexity Criteria
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Covers the study of functions, focusing on convexity criteria within closed subintervals.
Differentiating under the integral sign
Explores differentiating under the integral sign and continuity of functions in integrals.
Continuity: Examples and Definitions
Covers the concept of continuity, providing examples and definitions of continuous functions.
Products and Convolution of Transforms
Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.
Relations in Computer Science
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Real Functions: Definitions and Properties
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Explores real functions, covering parity, periodicity, and polynomial functions.
Functions and Periodicity
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Covers functions, including even and odd functions, periodicity, and function operations.
Partial Derivatives: Definitions and Examples
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Covers the concept of partial derivatives and their applications in mathematical analysis.
Continuity of Functions: Definitions and Notations
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Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.
Taylor Series: Convergence and Applications
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Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.
Functions: Basic Concepts
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Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.
Comparison Series and Integrals
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Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Piecewise Functions Composition
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Covers the composition of piecewise functions and introduces the signum and Heaviside functions.
Functions: Limits, Continuity, Differentiability
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Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.
Existence of y: Proofs and EDO Resolution
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Covers the proof of the existence of y and the resolution of EDOs with practical examples.
Functions: Differentials, Taylor Expansions, Integrals
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Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.
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