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Lecture
Inequalities: an example
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Sets: Equality, Subsets, and Relations
Covers set equality, subsets, proper subsets, and Venn diagrams.
Sets and Relations: Understanding Subsets and Equality
Covers set equality, subsets, proper subsets, and techniques for showing equality of sets.
Powers, Roots, and Calculation Rules
Covers powers, roots, calculation rules, logarithmic functions, reciprocal functions, sets, and basic notations.
Sets and Relations
Introduces sets, Cartesian product, order importance, and relations on sets.
Group Theory Fundamentals
Introduces the basics of group theory, defining groups, categories, and groupoids.
Recursively Defined Sets and Structures
Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.