Fourier Series: Applications and Examples

Related lectures (30)

Page 3 of 3

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Demonstrates the practical application of theorems in calculus through two clever examples.

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

Discusses local extrema of functions in two variables around the point (0,0).

Covers advanced optimization methods using Lagrange multipliers to find extrema of functions subject to constraints.

Explores solutions of differential equations and their monotonicity properties.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Covers the concept of limits and explores limits at infinity with illustrative examples.

Covers level curves and graphs of functions in two and three dimensions.

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.