Advanced Analysis II: Integrals and Functions

Related lectures (28)

Page 3 of 3

Explores geometric examples of triangles and functions, demonstrating the variation of x and y within defined ranges.

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

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Covers the fundamental concepts of integrals and primitives, including properties and examples.

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.