Module 4 Partial Derivatives​​
​[return to MATH 310]

Presentations  [part 1]  [part 2]  [part 3]  [part 4]

Guided notes  [pdf]

Videos
4A. Functions of several variables  [video 1]  [video 2]  [video 3]
4B. Limit and continuity in higher dimensions  [video 1]  [video 2]  [video 3]
4C. Partial derivatives  [video 1]  [video 2]  [video 3]  [video 4] 
4D. The Chain Rule  [video 1]  [video 2]
4E. Directional derivatives and gradient vectors  [video 1]  [video 2]
4F. Tangent planes and differentials  [video 1]  [video 2]  [video 3]
4G. Extreme values and saddle points  [video 1]  [video 2]  [video 3]
4H. Lagrange multipliers  [video]
4I. Taylor’s formula with two variables  ​[video]