Integration and Transformations

Related lectures (32)

Page 2 of 4

Explores circular motion, friction, and Newton's laws in various coordinate systems.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Explores examples of applying the change of variables formula to simplify integrals over different regions in the xy-plane.

Explains polar, cylindrical, and spherical coordinates in physics, emphasizing their advantages in simplifying motion analysis.

Covers Fubini's theorem, change of variables, and area calculations in multiple integrals.

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Covers multiple integrals, change of variables to polar coordinates, and area calculations.