Differential calculus

Related lectures (26)

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Introduces and summarizes differential calculus, covering continuous functions, limits, differentiability, and tangent planes.

Covers the introduction to mechanics, historical figures, importance of experiments, and acceleration.

Covers continuous functions, derivability, and global properties in differential calculus.

Covers methods of demonstrations and differential calculus of functions of several variables.

Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.

Explores the derivative of a function, covering rules for deriving sums, products, and quotients.

Explores the history and concepts of differential calculus, including tangent, derivative, limit, and various function derivatives.

Covers the existence and uniqueness theorem for Cauchy problems and explores global solutions of differential equations.

Covers the calculation of volumes of solids using integration techniques and examples of solids of revolution.

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.