|
Prerequisites: Multivariable Calculus and elements of Linear
Algebra.
|
|
Text: Differential Geometry of Curves and Surfaces
by Manfredo P. do Carmo. Prentice Hall, 1976.
|
|
Course content: Chapters 1-4 and selected topics from
chapter 5.
|
|
Course objectives:
This course is an introduction to differential geometry and is
aimed at a broad audience of mathematics and science students.
The focus will be on the study of the geometry of curves
and surfaces in 3-dimensional Euclidean space, with additional
topics in the theory of abstract surfaces. The course will
cover classical material that will prepare the students for more
advanced studies and to apply the techniques of differential
geometry to a variety of problems.
|
|
Grading: There will be three take-home tests and several
homework assignments. Your work will be weighted as follows:
tests - 25% each; homework and class participation - 25%.
Letter grades will be based on numerical grades in the usual way.
(A: 90-100, B: 80-89, C: 70-79, D: 60-69, with +/- grades
assigned at the discretion of the instructor.) A grade of I
will not be given to avoid a D or an F, or to provide additional
study time. Failure to process a course drop will result in a
course grade of F.
|
|
Honor code: The Academic Honor System at The Florida State
University is based on the premise that each student has the
responsibility 1) to uphold the highest standards of academic
integrity in the student's own work, 2) to refuse to tolerate
violations of academic integrity in the University community, and
3) to foster a high sense of integrity and social responsibility
on the part of the University community.
|
|
American Disabilities Act: Students with disabilities needing
academic accommodations should register with and provide documentation
to the Student Disability Resource Center (SDRC), and bring a letter
from the SDRC to the instructor indicating their needs.This should
be done within the first week of class.
|