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Equality (mathematics)
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Social and Political Ethics: Justifying Principles
Explores the ethical principles of liberty and equality, discussing their justification and application in society.
Extrema and Lagrange Multipliers
Explores Lagrange multipliers for finding extrema under constraints and various proof methods.
Equivalence Relations and Partitions
Explores equivalence relations, reflexivity, equivalence classes, and constructing new sets based on equivalent elements.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Predicate Calculus: Basics
Covers the basics of predicate calculus, including propositions, formulas, terms, and semantic evaluation.
Vector Spaces: Properties and Examples
Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.
Sets, Functions and Relations: Summary of Week 4
Covers sets, functions, and relations, including functions' properties and binary relations.
Principle of Double Inclusion
Explains the principle of double inclusion and provides examples with natural numbers and geometry.
Introduction to Numerical Methods for PDEs
Covers the numerical approximation of PDEs and examples of nonlinear behavior.
Set Theory: Introduction and Operations
Covers the foundation of mathematics through set theory concepts like membership and unions.