Vector Analysis: Fundamentals and Applications

Related lectures (27)

Page 2 of 3

Introduces differential operators, gradient, and divergence in vector fields.

Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.

Covers vector spaces in R2 and R3, including planes and lines.

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.

Introduces vectors in a solid reference frame and explains the importance of determinants in interpreting vector products and coordinate changes.

Explores the condition number in optimization and the technique of preconditioning.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers the basics of differential operators and derivatives for n-tuples and vector fields.