Lecture

Functions: Introduction and Terminology

Related lectures (30)
Functions: Limits, Continuity, Differentiability
Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.
Real Functions: Graphs and Properties
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Quantum Chaos and Scrambling
Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.
Partial Derivatives and Matrix Hessians
Covers partial derivatives, Hessian matrices, and their importance for functions with multiple variables.
Linear Algebra: Injections, Surjections, Bijections
Explores injections, surjections, and bijections in linear algebra, highlighting their significance in mathematics.
Taylor Series: Convergence and Applications
Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.
Discussion of SurjectivityMOOC: Analyse I
Discusses the concept of surjectivity in functions and its implications.
Operations on Sets: Parts, Intersection, and Difference
Explores operations on sets, Cartesian products, and functions' properties.
Equivalence Relations and Functions
Covers equivalence relations, functions, injectivity, surjectivity, and bijectivity with illustrative examples.
Sobolev Spaces in Higher Dimensions
Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.