This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 TABLE OF CONTENTS Chapter 1 Euclidean space A. The basic vector space B. Distance C. Right angle D. Angles E. A little trigonometry F. Balls and spheres G. Isoperimetric inequalities Chapter 2 Differentiation A. Functions of one real variable B. Lengths of curves C. Directional derivatives D. Pathology E. Differentiability of realvalued functions F. Sufficient condition for differentiability G. A first look at critical points H. Geometric significance of the gradient I. A little matrix algebra J. Derivatives for functions R n → R m K. The chain rule L. Confession M. Homogeneous functions and Euler’s formula Chapter 3 Higher order derivatives A. Partial derivatives B. Taylor’s theorem C. The second derivative test for R 2 D. The nature of critical points E. The Hessian matrix F. Determinants G. Invertible matrices and Cramer’s rule H. Recapitulation I. A little matrix calculus 2 Chapter 4 Symmetric matrices and the second derivative test A. Eigenvalues and eigenvectors B. Eigenvalues of symmetric matricesB....
View
Full
Document
This note was uploaded on 09/28/2008 for the course MATH 1220 taught by Professor Hatcher during the Fall '08 term at Cornell.
 Fall '08
 Hatcher
 Calculus, Trigonometry, Angles, Vector Space, Inequalities

Click to edit the document details