Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Explores directional derivatives, their calculation, examples, and cases of lack of continuity.
Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.
Explores using Bernoulli de l'Hospital's theorem to compare functions' asymptotic behavior.
Covers algebraic operations on derivatives and the concept of continuity and differentiability.
Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
