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Divergence Examples
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Vector Analysis Review
Covers unit vectors, coordinate system conversion, divergence, and rotational concepts in vector analysis.
Advanced Analysis II: Derivatives and Functions
Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Connections: motivation and definition
Explores the definition of connections for smooth vector fields on manifolds.
Algebraic Operations and Taylor Expansions
Explores algebraic operations on Taylor expansions and the development of various functions.
Directional Derivatives
Explores directional derivatives, their calculation, examples, and cases of lack of continuity.
Taylor Series: Approximating Functions with Polynomials
Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.