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Related lectures (49)
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Vector Calculus: Scalars and Vectors
Introduces scalars and vectors, explaining their properties and mathematical operations.
Vector Calculus: Derivatives and Products
Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.
Derivative of a Product of Functions
MOOC: Warm-up for EPFL
Explores the derivative of a product of functions and discusses algebraic products and scalar products of functions.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Derivative of a Function: Tangent Equation
Explores finding tangent equations and slopes through derivatives.
Derivatives and Tangent Lines: Understanding Functions and Limits
Explores derivatives, functions, limits, and tangent lines in calculus.
Studying Mechanics: Vector Calculus
Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.
Scalar Product and Vectors
Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.
Vector Components and Operations
Covers vector components, projections, conventions, operations, and mathematical identities.
Derivability and Continuity
Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.
Central Motion: Forces and Orbits
Covers moment of a force, angular momentum, and central motion in physics, including Kepler's laws and Newton's theory of universal gravitation.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Mechanics: Introduction and Calculus
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Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Differential Calculus: Definition and Derivability
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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Taylor Series: Convergence and Applications
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Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Derivatives and Differential Equations
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Covers trigonometric functions, derivatives, differential equations, and vector properties.
Derivability and Chain Rule
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Covers the demonstration of the chain rule and the theorem of Rolle.
Partial Derivatives: Derivability
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Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
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