Graph Sketching: Motion Analysis

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Related lectures (25)

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Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Advanced Analysis II: Tangent Plan and Differentiability

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

Functional Derivatives

Covers the concept of functional derivatives and their calculation process with examples.

Real Functions: Definitions and Properties

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

Angular Momentum, Torque, and Law of Gravitation

Explores gravitational motion equations, energy conservation, angular velocity, orbits, relativity effects, black holes, time dilation, cosmology, and rotational equilibrium.

Directional Derivatives

Explores directional derivatives in two-variable functions and extremum points.

Derivatives of Trigonometric Functions

Explores the derivatives of trigonometric functions and their reciprocals.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Taylor's Formula: Developments and Extrema

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Functions and Integers

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.