Lectures related to Vector-valued function

Explores curl in 2D vector fields, demonstrating its rotation concept through examples and its application in physics.

Delves into the proof of the convergence rate theorem for an ergodic Markov chain, emphasizing eigenvalues and detailed balance properties.

Covers the concept of vector position in physics, focusing on its motion and decomposition.

Introduces Python modules and NumPy for efficient array operations and linear algebra in data science.

Explores the analysis of forces on a dipole moment using mathematical formulas and vector components.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Introduces Riemann sums, a method to approximate area under a curve.

Covers the theorem of finite increments in derivative functions.

Covers basic vector operations in MATLAB and Octave.