Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Advanced Analysis I - Finite Differences
Graph Chatbot
Related lectures (55)
Derivability and Continuity
Log in to Mediaspace to watch this video
Explores derivability, continuity, and composite functions with illustrative examples.
Differential Calculus: Definition and Derivability
Log in to Mediaspace to watch this video
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Implicit Functions Theorem
Log in to Mediaspace to watch this video
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Differentiability and Derivatives
Log in to Mediaspace to watch this video
Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.
Differentiability Analysis
Log in to Mediaspace to watch this video
Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.
Derivatives Rules: Notation, Extrema
Log in to Mediaspace to watch this video
Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.
Partial Derivatives: Derivability
Log in to Mediaspace to watch this video
Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Differentiability and Tangent Lines
Log in to Mediaspace to watch this video
Explores differentiability, tangent lines, and graph interpretation.
Untitled
Log in to Mediaspace to watch this video
Differentiability of Functions in Two Variables
Log in to Mediaspace to watch this video
Covers differentiability of functions in two variables and the conditions for a function to be differentiable.
Derivatives and Continuity
Log in to Mediaspace to watch this video
Covers derivatives, continuity, and theorem demonstrations, emphasizing their importance in mathematical analysis.
Partial Derivatives and Gradient
Log in to Mediaspace to watch this video
Covers partial derivatives, gradient, and second partial derivatives with their applications.
Optimization: Stationary Points and Local Extrema
Log in to Mediaspace to watch this video
Covers the concept of stationary points in optimization and how to identify local extrema.
Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums
Log in to Mediaspace to watch this video
Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.
Taylor Polynomials: Approximation and Generalization
Log in to Mediaspace to watch this video
Introduces Taylor polynomials for function approximation, starting with linear and quadratic forms and then generalizing to higher orders.
Partial Derivatives: Understanding and Applications
Log in to Mediaspace to watch this video
Explores the computation and significance of partial derivatives in determining rates of change.
Numerical Differentiation and Integration
Log in to Mediaspace to watch this video
Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.
Mathematical Complements: df or δf
Log in to Mediaspace to watch this video
Explores mathematical tools for differentials of functions of multiple variables and their practical applications in thermodynamics and real-life scenarios.
Fundamental Solutions
Log in to Mediaspace to watch this video
Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Monotonicity Criteria in Differentiable Functions
Log in to Mediaspace to watch this video
Explores monotonicity criteria, L'Hopital's rule, and Lipschitz continuity in differentiable functions and deep neural networks.
Previous
Page 2 of 3
Next