A piece of a Delaunay surface
Differential Geometry
110.439, MTW 2, Bloomberg 259
Dr Mark Haskins
E-mail address: mhaskin@math.jhu.edu
Telephone: 410-516-4047
Department: Mathematics
Office: Krieger 312
Office Hours: M 9.30-10.30, T&W 3-4
|
A piece of a Delaunay surface
|
Introduction to Differential Geometry 110.439, MTW 2, Bloomberg 259 Dr Mark Haskins E-mail address: mhaskin@math.jhu.edu Telephone: 410-516-4047 Department: Mathematics Office: Krieger 312 Office Hours: M 9.30-10.30, T&W 3-4 |
|
NEW --- GRADESHEET HW 0: due as soon as possible. HW 1: due 5 Feb. HW 2: due 12 Feb. HW 3: due 19 Feb. HW 4: due 28 Feb. HW 5: due 7 Mar. HW 6: due 14 Mar. HW 7: due 28 Mar. HW 9: due 18 Apr. |
|
This course is designed to introduce students from a variety of science and engineering backgrounds to the basics of the differential geometry of curves and surfaces. The aim is to build both a solid mathematical understanding of the fundamental notions of differential geometry and some intuition and visual appreciation of the subject. A preliminary syllabus can be found below. |
|
The main text for the course is "Differential Geometry of Curves and Surfaces" by Manfredo do Carmo. To help visualize curves and surfaces we shall use the computer software Mathematica. The book "Modern Differential Geometry of Curves and Surfaces with Mathematica" by Alfred Gray is a very useful guide to exploring differential geometry via Mathematica. |
|
The formal prerequisites for the class are Calculus III and Linear Algebra. Note: a course in differential equations is not a prerequisite. We will make more use of notions from both multivariable calculus and linear algebra. You should review matrices, eigenvalues, determinants and abstract vector spaces from Linear Algebra. From Calculus you should review multiple integrals, inner products and cross products. |
|
Homework, 30%: Assigned weekly and due weekly. Some problems may not be graded. No late homework accepted without a doctor's note. You may consult with classmates but be sure to do most of the work yourself. Homework will include Mathematica-based computer assignments. Midterm Exam, 20%: Further details will be announced. Project, 20%: An opportunity to study in greater depth material of interest to you and related to the course subject. This project will be due before the last day of class. The subject of the project will be chosen by you with guidance given by me. Further details will be given later. Final Exam, 30%: 9--noon, Saturday May 12. Further details will be announced. |
|
A preliminary syllabus |
| Last updated 28 January 2001 Mark Haskins |