Methods of Integrating Functions

Related lectures (31)

Page 3 of 4

Covers the concept of speed projected on cylindrical and spherical coordinate systems and the time derivative of unit vectors.

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.

Covers conceptual questions on circular motion and acceleration, including velocity vectors and acceleration directions.

Explores the change of variables formula for rewriting functions in new coordinate systems.

Explores position, velocity, and acceleration in polar and cylindrical coordinate systems, simplifying complex formulas for motion analysis.

Covers examples of coordinate transformations, focusing on polar and spherical coordinates.

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

Covers limits and continuity in multivariable functions, including examples and techniques for showing the existence of limits.

Explores examples of applying the change of variable formula to simplify integrals over different regions.