Partial and Total Derivatives

This lecture introduces the concepts of partial and total derivatives, essential in the study of functions with multiple variables. The instructor explains how to calculate partial derivatives with respect to each variable, using examples to illustrate the process. Additionally, the lecture covers the concept of differentials, showing how they are used to analyze changes in functions as variables vary. The instructor demonstrates the calculation of total derivatives, emphasizing their importance in thermodynamics. The lecture concludes with a discussion on temporal derivatives, showcasing how to calculate the derivative of a function with respect to time when the variables themselves are functions of time.