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Lecture
Limits: More about Functions and Sequences
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Real Functions: Definitions and Properties
Explores real functions, covering parity, periodicity, and polynomial functions.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.
Limites en un point: définition et exemples
Covers the definition and examples of limits at a point in calculus.
Limit of the Quotient and Periodicity
Explores the limit of the quotient for sequences and the periodicity of functions.
Continuity of Functions: Definitions and Notations
Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.
Functions: Limits, Continuity, Differentiability
Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.
Functions: Differentials, Taylor Expansions, Integrals
Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.
Calculating with Taylor, Convexity
Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.
Continuity: Examples and Definitions
Covers the concept of continuity, providing examples and definitions of continuous functions.
Taylor Series: Convergence and Applications
Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.