The videos in this application are focused on partial derivatives. This means that we'll cover basics like domains of multivariable functions, showing a limit does not exist for a multivariable function, and basic partial derivatives. Additionally, we'll look at more advanced applications like higher-order partial derivatives, tangent plane equations and approximations, generalized chain rule, directional derivatives, gradient vector notation, and Lagrange multipliers with one or two constraints. To learn about these concepts, we'll cover the topic through a series of video lessons, each of which will cover pertinent ideas and related problems. The video content in this application will include a lesson on each of the following:* Finding the Domain of a Multivariable Function* Show Limit Does NOT Exist: Multivariable Function* Partial Derivatives* Partial Derivatives: Higher Order* Equations of Tangent Planes at a Point* Finding a Tangent Plane Approximation* Generalized Chain Rule, Part 1* Generalized Chain Rule, Part 2* Directional Derivative & Gradient Vector Notation* Finding the Directional Derivative, Ex 1* Finding the Directional Derivative, Ex 2* Lagrange Multipliers - One Constrait* Lagrange Multipliers* Lagrange Multipliers: Two Constraints, Pt 1* Lagrange Multipliers: Two Constraints Pt 2This is one of several Calculus apps from me, PatrickJMT. I have been putting up math videos for a few years on YouTube and now have the most popular 'math only' channel on YouTube!, Affter much encouragement and many requests from my YouTube friends, I've finally decided to organize the videos and put them out as an App. I've been teaching math for >8 years at the college/university level and tutoring for over 20 years. In the past, I have taught at Vanderbilt University (a top 20 ranked university), the University of Louisville and at Austin Community College.
