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Lecture
Analyse II: Directional Derivative
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General Mathematics I: Derivatives and Tangents
Explores derivatives, tangents, and elementary function rules in general mathematics.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Understanding Surface Integrals
Explores surface integrals, emphasizing physical interpretation and mathematical calculations in vector fields and domains.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Real Functions: Graphs and Properties
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Derivative of a Function: Tangent Equation
Explores finding tangent equations and slopes through derivatives.
Functions on R^n: Limits and Partial Differentiation
Delves into functions on R^n, covering limits and partial differentiation.
Linear Transformations: Matrices and Kernels
Covers linear transformations, matrices, kernels, and properties of invertible matrices.
Derivatives and Functions: Definitions and Interpretations
Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.