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Related lectures (32)
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Taylor Development: Convexity
Covers the Taylor development theorem, convexity, and computation rules with Taylor.
Developing Taylor's Theorem
Covers Taylor's theorem, power series, and representing functions by their Taylor series.
Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Introduction to Categories
Introduces the concept of categories essential for understanding group theory.
Limits and Continuity in Multivariable Functions
Covers limits and continuity in multivariable functions, including examples and techniques for showing the existence of limits.
Binary Relations and Cartesian Products
Explores binary relations, Cartesian products, and applications between sets, emphasizing their properties and significance.
Mathematical Reminders: Derivatives, Primitives, Integrals
Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.
Categories: Functors, and Natural Transformations
Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.
Matrix Multiplication: Properties and Applications
Explores matrix multiplication, its properties, and applications in linear maps.
Relations: Reflexive, Symmetric, Antisymmetric, Transitive
Explains binary relations on a set and their properties with illustrative examples.
Relations: Definitions and Properties
Explains binary relations, reflexive, symmetric, antisymmetric, and transitive relations on a set.
Studying Mechanics: Introduction and Mathematical Tools
Covers the introduction to mechanics, historical figures, importance of experiments, and acceleration.
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