Lectures related to Sets and Functions

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Mathematics: Sets and Functions

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Linear Algebra: Applications and Definitions

Covers the definition of applications, image of elements, and direct and reciprocal images.

Linear Algebra: Sets and Operations

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

Sets and Proofs

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Sets, Functions and Relations: Q&A

Covers examples of relation composition, Cartesian product, and injective functions.

Basic Notions

Covers the basic concepts of sets, functions, and number systems.

Introduction to Analysis

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Cartesian Product: Sets and Recurrence

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

Proofs and Logic: Introduction

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Introduction to Analysis: Understanding Real Numbers and Proofs

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Algorithms & Growth of Functions

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Sets, Functions and Relations: Constructing Sets

Covers power sets, tuples, Cartesian product, truth sets, and set cardinality with illustrative examples.

Introduction to Mathematics for Engineers

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Course Overview: Teaser on Course Contents

Offers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.