Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Change of Coordinates: Analysis Week 8

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (53)

Spherical Coordinates: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics of spherical coordinates and their applications in volume calculations.

Cartesian Products and Equivalence Relations Log in to Mediaspace to watch this video

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.

Proofs and Sets: Applications Log in to Mediaspace to watch this video

Covers the basics of proofs, defining sets, and applications between sets.

Functions: Basic Concepts Log in to Mediaspace to watch this video

Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.

Functions: Limits, Continuity, Differentiability Log in to Mediaspace to watch this video

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Coordinate Systems and Applications Log in to Mediaspace to watch this video

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Physics 1: Harmonic Oscillator and Spherical Coordinates Log in to Mediaspace to watch this video

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Sequences and Convergence: Solutions to Exercises Log in to Mediaspace to watch this video

Covers solutions to exercises related to sequences, convergence, bounded functions, and bijective functions.

Advanced Analysis II: Differential Equations and Timers Log in to Mediaspace to watch this video

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Advanced Analysis II: Spherical Coordinates Log in to Mediaspace to watch this video

Covers spherical coordinates, transformations, and volume calculations in integrals.

Improper Integrals: Fundamental Concepts and Examples Log in to Mediaspace to watch this video

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Advanced Analysis II: Derivatives and Functions Log in to Mediaspace to watch this video

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Diffeomorphism and implicit functions Log in to Mediaspace to watch this video

Explores diffeomorphisms, implicit functions, and coordinate transformations in advanced analysis.

Iterated Integrals: Order, Properties, and Applications Log in to Mediaspace to watch this video

Explores iterated integrals, their order, properties, and applications in practical scenarios.

Gravity and Barycenter: Definitions and Applications Log in to Mediaspace to watch this video

Explores the definitions and properties of gravity and barycenter, including bounded regions and coordinate transformations.

Implicit Functions Theorem Log in to Mediaspace to watch this video

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Implicit Functions Theorem Log in to Mediaspace to watch this video

Covers the Implicit Functions Theorem and its applications in defining functions implicitly.

Electric Fields: Curl and Path Integrals, Spherical Coordinates Supplement Log in to Mediaspace to watch this video

Explores the integration of electric fields along paths and solutions for constant and radial fields.

Volume of Spherical Unit: Change of Variables Log in to Mediaspace to watch this video

Explores volume calculation using spherical coordinates and variable transformation importance.

Circular motion: Friction and Newton's Laws Log in to Mediaspace to watch this video

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

Page 2 of 3