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Lecture
Change of Variables Theorem
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Related lectures (32)
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Variable Change Theorem: Polar Coordinates
Covers the variable change theorem in polar coordinates and its applications.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Cylindrical and Spherical Coordinates, Rotations
Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.
Coordinate Systems: Polar and Spherical
Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.
Coordinate Systems: Polar, Cylindrical, and Spherical
Explains polar, cylindrical, and spherical coordinates in physics, emphasizing their advantages in simplifying motion analysis.
Analytical Study of Lines in the Plane
Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.
Coordinate Changes: Spherical System
Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.
Advanced Analysis II: Jordan-Measurable Functions
Explores Jordan-measurable functions and double integrals for volume calculations in 3D space.
Methods of Demonstrations: Recurrence and Taylor Formula
Covers methods of demonstrations and the Taylor formula for functions of several variables.
Coordinate Change: Polar and Spherical Coordinates
Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.