Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Explores vector fields, potential functions, and energy in electromagnetism, emphasizing the importance of understanding charge distributions and equi-potential lines.
Explores mathematical tools for differentials of functions of multiple variables and integrals, including conservative quantities and exact total differentials.
Explores mathematical tools for differentials of functions of multiple variables and their practical applications in thermodynamics and real-life scenarios.
