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Convexity and Jacobians
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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.
Convex Functions
Covers the properties and operations of convex functions.
Basic Notions
Covers the basic concepts of sets, functions, and number systems.
Optimization Basics: Norms, Convexity, Differentiability
Explores optimization basics such as norms, convexity, and differentiability, along with practical applications and convergence rates.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Sets and Proofs
Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.
Differential Equations: Solutions and Functions
Explores solutions of differential equations and properties of functions.
Sets, Functions and Relations: Organisational Questions
Covers organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.
Data Structures and Functions
Covers the basics of tuples, lists, sets, linear types, conversions, dictionaries, and defaultdicts.
Introduction to Mathematics for Engineers
Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.