In this video lesson, Calculus Instructor Donny Lee teaches about quick clarification on variables. When only three variables x, y, z are involved, the notation for partial derivatives is self-explanatory: x and y are independent, and we differentiate holding one of them fixed.



With four or more variables, we need to be careful in specifying which are the independent variables. u = h(x, y, v) and u = f(x, y); v = g(x, y) mean two different things.

1. Partial Derivatives Review
2. Using Four or More Variables
3. Evaluation of Partial Derivatives
4. The Total Differential
5. The idea of delta(z) and dz
6. Theorem of the Total Differential
7. Fundamental Lemma

In this course, Calculus Instructor Donny Lee gives 7 video lessons on Advanced Differential Calculus. Some of the topics covered are: Partial Derivatives, delta(z) and dz, Total Differential and Fundamental Lemma.

Tags: Math, Math Calculus