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Related lectures (28)
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Derivability of Reciprocal Function
Covers the derivative of the reciprocal function and its properties.
Function Properties: Injective, Surjective, Bijective
Explains injective, surjective, and bijective functions using examples and graphs.
Functions: Basic Concepts
Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.
Coordinate Changes: Definitions and Laplacian
Covers the definitions of coordinate changes and the Laplacian of a function.
Cylindrical Coordinates: Continuity and Class C
Explores cylindrical coordinates in R^3, emphasizing continuity and class C properties.
Proofs and Sets: Applications
Covers the basics of proofs, defining sets, and applications between sets.
Bijective Functions
Covers bijective functions, establishing one-to-one correspondences between sets and the importance of reducing domain and codomain for injectivity and surjectivity.
Linear Transformations: Injective and Surjective
Explores injective and surjective linear transformations, kernel, image, and matrix operations.
Functions: Limits and Continuity
Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.
Sequences and Convergence: Solutions to Exercises
Covers solutions to exercises related to sequences, convergence, bounded functions, and bijective functions.
