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
Functions of Class Cn: Theorem 2
Graph Chatbot
Related lectures (43)
Taylor's Theorem: Advanced Analysis I
Explores Taylor's theorem for functions on open intervals, focusing on nth derivatives.
Advanced Analysis I: Taylor with Integral Remainder
Covers Taylor series with integral remainder for open intervals and their applications in mathematical analysis.
Taylor Series of a Function
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores the Taylor series of a function and its significance in mathematical analysis.
Holomorphic Functions: Taylor Series Expansion
Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.
Taylor Series: Expansion and Properties
Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.
Darboux Theorem: Advanced Analysis I
Explores the Darboux theorem for continuous functions on closed intervals, emphasizing uniform continuity and function behavior implications.
Linear Recurrence Relations
Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.
Developpements limités
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explains the definition and uniqueness of developments limites for continuous functions on open intervals.
Integration by Change of Variables
MOOC: Analysis I
MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)
Covers integration by change of variables and the derivation in chain rule.
Properties of Convergence: Sequences and Topology
Discusses the properties of sequences, convergence, and their relationship with topology and compactness.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Taylor Polynomials: Approximating Functions
Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.
Intervals: Real Numbers
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.
Maximum and Minimum Values: Theorems and Continuity
Explores the theorems on maximum and minimum values of functions and their relation to continuity.
The Intermediate Value Theorem
MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Explains the Intermediate Value Theorem for continuous functions on closed intervals.
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.
Higher Derivatives, Taylor Introduction
Log in to Mediaspace to watch this video
Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.
Limits and Continuity
Log in to Mediaspace to watch this video
Explores limits, continuity, and elementary functions' properties, emphasizing the importance of understanding continuous functions.
Properties of Functions
Log in to Mediaspace to watch this video
Covers the properties of functions, including symmetry, continuity, and limits.
Riemannian gradient descent
Log in to Mediaspace to watch this video
Explores Riemannian gradient descent, covering Taylor expansions, optimality conditions, algorithm templates, line search, and critical points.
Previous
Page 1 of 3
Next