Lectures related to Advanced Analysis II: Level Sets and Continuity

Introduces real function analysis, emphasizing limits and series calculations.

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Covers the concept of limits for real functions of several variables and their demonstration using polar coordinates and change of variables.

Explores changing variables in multiple integrals, with a focus on polar transformations and their applications in calculating areas.

Covers the transformation and application of coordinate systems, focusing on cylindrical coordinates and Jacobian matrix.

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Explores advanced physics topics like kinematics in 3D, non-Cartesian coordinates, and practical examples of collisions and snowball fights.