Calculus Chapter 14

Ch 14  Partial Derivatives

 

Ch 14.1 Functions of Several Variables

 

Introduction to Functions of Two Variables
http://www.youtube.com/watch?v=c0wd_9yF8bg&list=PLB3DD5724EC2950DF&index=18&feature=plpp_video

 

Level Curves of Functions of Two Variables
http://www.youtube.com/watch?v=CCLrfpD5_sE

 

Ch 14.2 Limits and Continuity

 

Limits of Functions of Two Variables
http://www.youtube.com/watch?v=d0SPcQNy78E&list=PLB3DD5724EC2950DF&index=15&feature=plpp_video

 

Ch 14.3 Partial Derivatives

 

First Order Partial Derivatives
http://www.youtube.com/watch?v=hI4r5DEm1Og&list=PLB3DD5724EC2950DF&index=14&feature=plpp_video

 

Second Order Partial Derivatives
http://www.youtube.com/watch?v=Xn6LjHKMrqA&list=PLB3DD5724EC2950DF&index=13&feature=plpp_video

 

Higher Order Partial Derivatives
http://www.youtube.com/watch?v=AWrXr9ozeOU&list=PLF83D74BA4DE75897&index=17&feature=plpp_video

 

Ch 14.4 Tangent Planes and Linear Approximations

 

Determining the Equation of a Tangent Plane
http://www.youtube.com/watch?v=UfnpcOcZAO0&list=PLB3DD5724EC2950DF&index=10&feature=plpp_video

 

Tangent Plane (Linear) Approximations
http://www.youtube.com/watch?v=e1Kp-fUIJCU&list=PLF83D74BA4DE75897&index=18&feature=plpp_video

 

Ch 14.5 The Chain Rule

 

The Chain Rule for Functions of Two Variable with One Independent Variable
http://www.youtube.com/watch?v=KTD4Ire3VDY&list=PLB3DD5724EC2950DF&index=22&feature=plpp_video

 

The Chain Rule for Functions of Two Variable with Two Independent Variables
http://www.youtube.com/watch?v=8HLYOqzVjMk&list=PLB3DD5724EC2950DF&index=21&feature=plpp_video

 

Total Differentials and the Chain Rule
http://www.youtube.com/watch?v=2bF6H_xu0ao
http://www.youtube.com/watch?v=Pzbr981wViI

 

Implicit Differentiation of Functions of One Variable Using Partial Derivatives : Part 1 and Part 2
http://www.youtube.com/watch?v=L949KHFAOzE&feature=relmfu
http://www.youtube.com/watch?v=E06oriUb-tM&list=PLB3DD5724EC2950DF&index=12&feature=plpp_video

 

Ch 14.6 Directional Derivatives and Gradient Vector

 

Directional Derivatives
http://www.youtube.com/watch?v=O20k5fXvQfQ&list=PLB3DD5724EC2950DF&index=4&feature=plpp_video

 

The Gradient
http://www.youtube.com/watch?v=x8YwcwesU3Q&list=PLB3DD5724EC2950DF&index=8&feature=plpp_video

 

Ch 14.7 Maximum and Minimum Values

 

Determining the Local Maximum and Local Minimum of a Function of Two Variables
http://www.youtube.com/watch?v=Wm5qnQlAK7o&list=PLB3DD5724EC2950DF&index=9&feature=plpp_video

 

Applications of Local Maximum and Local Minimum of Functions of Two Variables : Part 1, Part 2 and Part 3
http://www.youtube.com/watch?v=tkAOuPSPGPM&list=PLB3DD5724EC2950DF&index=5&feature=plpp_video
http://www.youtube.com/watch?v=pvTiPv3gmJU&list=PLB3DD5724EC2950DF&index=6&feature=plpp_video
http://www.youtube.com/watch?v=AokhUylGtwU&list=PLB3DD5724EC2950DF&index=7&feature=plpp_video

 

Absolute Maximum and Absolute Minimum of Functions of Two Variables: Example 1

http://www.youtube.com/watch?v=UX1uENJvuO0&list=PLB3DD5724EC2950DF&index=3&feature=plpp_video

 

Absolute maximum and absolute minimum of Functions of Two Variables: Example 2
http://www.youtube.com/watch?v=vkzsxvucLjQ
http://www.youtube.com/watch?v=9iBwGdZdvEs&feature=relmfu

 

Ch 14.8 Lagrange Multipliers

 

Lagrange Multipliers with One Constant: Example 1, Example 2 and Example 3
http://www.youtube.com/watch?v=KVwgFvmHnBM&list=PLB3DD5724EC2950DF&index=2&feature=plpp_video
http://www.youtube.com/watch?v=eQX7yNsEGL8&list=PLB3DD5724EC2950DF&index=1&feature=plpp_video

 

Lagrange Multipliers with Two Constants: Part 1 and Part 2
http://www.youtube.com/watch?v=qXhcpqslNUU
http://www.youtube.com/watch?feature=endscreen&NR=1&v=FBt1KumC804