Advanced Analysis II: Generalisations and Gradients

Related lectures (27)

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Covers the development of Taylor polynomials of order p around a point x.

Reviews the notation used in multivariable calculus, emphasizing accurate translation between different forms of integrals.

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Covers mathematical functions, including limits, derivatives, integrals, and trigonometric functions.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Covers the transition to a blended format, student performance, and mathematical analysis methods.

Covers the fundamentals of calculus, including limits, derivatives, and integrals.

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.