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Exercise - limit development
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Functional Derivatives
Covers the concept of functional derivatives and their calculation process with examples.
Taylor Series: Derivatives and Integrals
Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.
Taylor Series: Convergence and Applications
Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.
Functions: Differentials, Taylor Expansions, Integrals
Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Newton's Method: Order 2
Explains Newton's method of order 2 for finding function zeros.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Convergence Criteria
Covers convergence criteria for real number sequences and series, including demonstrations and examples.
Complex numbers: operations and convergence
Covers operations with complex numbers and convergence of functions as x approaches 0.