Lectures related to Intuitive Approach to Derivatives

Differential Calculus: Definition and Derivability

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Partial Derivatives and Functions

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Derivatives and Functions: Definitions and Interpretations

Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

Derivatives: Definition and Properties

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Partial Derivatives: Higher Order and Applications

Covers the concept of partial derivatives of higher order and their applications in various contexts.

Advanced Physics I

Covers definitions, vectors, motion, speed, acceleration, and derivatives in advanced physics.

Partial Derivatives and Functions

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

General Physics: Mechanics SV

Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.

Partial Derivatives: Derivability

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Differential Functions: Definitions and Notations

Covers the definition of differentiable functions and introduces the concept of differential functions.

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Advanced Analysis II: Differentiability and Continuity

Explores differentiability and continuity in advanced analysis with examples and counterexamples.

Definition of Differentiable Functions

Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.

Jacobian Matrix: Derivative of Composite Functions

Explains the Jacobian matrix and derivative of composite functions with examples.

Integration by Substitution

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Derivative of a Function: Tangent Equation

Explores finding tangent equations and slopes through derivatives.

Derivatives and Continuity

Covers derivatives, continuity, properties, and applications of derivative rules.

Partial Derivatives: Understanding Tangents

Explores partial derivatives and their role in determining tangents to graphs.