Pairs of Functions

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Related lectures (30)

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

Trigonometric Equations: Tangent and Cotangent

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

Convex Functions

Covers the properties and operations of convex functions.

Triangle Resolution: Trigonometric Functions

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Differential Calculation: Trigonometric Derivatives

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Real Functions: Definitions and Properties

Covers real functions' definitions, properties, periodicity, and reciprocity, including maximum, minimum, and composition of functions.

Trigonometric Formulas: Bisection & Transformations

Covers trigonometric bisection formulas and transformations between sums and products.

Trigonometric Formulas: Addition Theorem

Explores trigonometric addition theorem, double angles, and tangent properties.

Graphs: Properties and Representations

Covers graph properties, representations, and traversal algorithms using BFS and DFS.

Automorphism groups of trees and graphs II

Explores the uniqueness of trees, automorphism groups, Cayley-Abels graphs, and constructing vertex-transitive subgroups with prescribed local actions.

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