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Lecture
Pairs of Functions
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Related lectures (30)
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Mathematics: Sets and Functions
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.