Advanced Analysis II: General Variable Change

Related lectures (29)

Page 3 of 3

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Covers the fundamental theory of integral calculus, integration methods, and the importance of finding primitive functions for integration.

Explores multiple integrals, center of gravity calculation, and practical applications.

Explores multiple integration in R², focusing on double integrals over closed rectangles and the Fubini theorem.

Covers the calculation of minimum points and the concept of definite integrals.

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Explores the change of variables formula in higher dimensions and its application through an example.

Covers improper integrals techniques and examples, exploring convergence and absolute convergence.

Covers the definition and properties of multiple integrals, including double and triple integrals.