# MATH-F-420: Differential geometry of Verbitsky

## MATH-F-420: Differential geometry

##### Monday 16:00-18:00, P.OF.2058

Announcement for this course.

Slides:

Handouts:

Miscellanea: test problems, exam, etc.

# Math 216: Foundations of algebraic geometry 2007-08 of Prof. Ravi Vakil

Here is the materials of Prof. Vakil ‘s course on Foundations of Algebraic Geometry 07-08 in Stanford University:

http://math.stanford.edu/~vakil/0708-216/

# Môn Toán kỹ thuật ở MIT

Đây là các phần Toán kỹ thuật được dạy ở Massachusetts Institute of Technology (Học viện Công nghệ Massachusetts).

## Course Textbook

Kreyszig, Erwin. Advanced Engineering Mathematics. 8th ed. New York, NY: J.W. Wiley & Sons, 1999. ISBN: 9780471333753.

# Mathematics for Materials Scientists and Engineers

Parabolic approximation to a surface and local eigenframe. The surface on the left is a second-­order approximation of a surface at the point where the coordinate axes are drawn. The surface has a local normal at that point which is related to the cross product of the two tangents of the coordinate curves that cross at the that point. The three directions define a coordinate system. The coordinate system can be translated so that the origin lies at the point where the surface is expanded and rotated so that the normal n coincides with the z-axis as in the right hand curve. (Image by Prof. W. Craig Carter.)

### Instructor(s)

Prof. W. Craig Carter

3.016

Fall 2005