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Function of a real variable
Formal sciences
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Analysis
Calculus
Related lectures (26)
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Implicit Functions Theorem
Discusses the uniqueness of implicit functions solutions and surfaces described by equations.
Curve Length and Function Definition
Explores curve length, function definition, continuity, derivatives, integrals, and graphical representations of functions in two variables.
Recurrence Method: Generalization and Differential Calculus
Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.
Real Functions of Several Variables: Definitions and Examples
Covers definitions and examples of real functions of several real variables, including limits and visualization techniques.
Differential and Tangent Plan
Explores differentiable functions, gradients, and tangent planes in two-variable functions.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Derivatives and Tangent Planes
Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Limit of a Function
Covers the discussion of real functions and the concept of limits.
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Integral Calculus of Functions in Several Variables
Covers the integration of functions in several variables, Darboux sums, and Fubini's theorem on a closed box.