Lectures related to Limits and Methods

Explores finding the equation of the tangent line to a function's graph at a point.

Limites en un point: définition et exemples

Covers the definition and examples of limits at a point in calculus.

Differential Geometry: Parametric Curves & Surfaces

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Reciprocal Trigonometric Functions

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Differentiability and Tangent Planes

Explores differentiability in functions and geometric interpretation of tangent planes.

Integration Techniques: Part 2

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Trigonometric Functions: Tangent and Cotangent

Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.

Limit of the Quotient and Periodicity

Explores the limit of the quotient for sequences and the periodicity of functions.

Derivatives and Continuity

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Trigonometric Functions

Covers the concept of trigonometric functions and their applications in geometry.

Trigonometric Formulas: Addition Theorem

Explores trigonometric addition theorem, double angles, and tangent properties.

Functions, Bijection

Explains surjectivity, injectivity, and bijectivity in functions, including trigonometric examples.

Eigenstate Thermalization Hypothesis

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Tangent Planes and Derivatives

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Differentiable Functions: Definitions and Interpretation

Covers the definitions of differentiable and derivable functions and their geometric interpretation.

Differential Calculation: Trigonometric Derivatives

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Continuity: Examples and Definitions

Covers the concept of continuity, providing examples and definitions of continuous functions.

Limits and Continuity

Covers the concept of limits and continuity in real analysis.