Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.
Covers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.
Explores Taylor polynomials and approximations for various functions, emphasizing derivative equality and polynomial development around a specific point.
Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.
Introduces derivatives, composition of functions, Taylor expansion, velocity, acceleration, and temporal derivative notation in physics.
