MATH 2ZZ3 Lecture Notes - Lecture 5: Line Integral, Tangent Space, The Tangent

• School: McMaster University
• Department: Mathematics
• Course: MATH 2ZZ3
• Professor: David Lozinski

Document Summary

Math objects made using mathtype; graphs made using winplot. Announcements: multiple choice test, chapters, 12. 1 12. 4, 9. 1 9. 8. Chapter 9. 6 tangent planes and normal lines. Geometric interpretation of the gradient z differentiable, k, a number in range of f, x y k. 0 k r d f x y f x y. P is a point on the curve, c,( Plug into f: k y t f x t y t f x t f y f x y t= , t d x t. At p, f is orthogonal to level curve at p. This is useful because it lets you find the equation of the tangent plane. f is normal to the level surface at p. P x y z be a point on the graph of. The tangent plane at p is the plane that is normal to f evaluated at p. k= , where f is nonzero. F to any vector in the tangent plane.