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Related lectures (30)
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Sub-Varieties and Topological Concepts
Covers sub-varieties in different dimensions and topological concepts with examples and applications of theorems.
Continuous Functions: Definition
Explains the definition of continuous functions and isolated points.
Continuous Functions: Definitions and Examples
Revisits the definitions of continuous functions, emphasizing isolated points and limits.
Topology: Open Sets, Compactness, and Connectivity
Explores open sets, compactness, and connectivity in topology, covering topological spaces and compact sets.
Convergence of Series
Explores point of accumulation, Bolzano-Weierstrass theorem, and series convergence, including harmonic series examples.
Sets and Closure
Covers open and closed sets, adhesion, and convergence in sets.
Advanced Physics I: Orders of Magnitude
Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.
Limit Superior and Limit Inferior
Explores limsup, liminf, Bolzano-Weierstrass theorem, accumulation points, and bounded sequences.
Open Balls and Topology in Euclidean Spaces
Covers open balls in Euclidean spaces, their properties, and their significance in topology.
Analytical Solutions: EDO
Explores the analytical solutions of ordinary differential equations, emphasizing the identification and solving process for various EDO types.