DIFFERENTIAL GEOMETRY (30+15 hrs) May 4-24, 2006. (rukim@fiu.edu).

Description: A smooth transition to higher mathematics and its applications. Topics include: Intrinsic differential gemetry of curves and surfaces; curvature and constant mean curvature surfaces in 3-space; metrics, isometries and geodesics; calculus of variation.

Prerequisite: Multivariable Calculus and Ordinary Differential Equations.
Text: Differential Geometry and its Applications by John Oprea. (Prentice Hall, 1997. ISBN 0-13-340738-1).
Instructor: Professor Philippe Rukimbira
Office hours and phone:

  • MTu:-0800-1200: Lecture
  • W:---0900-1100:Lecture; 1100-1200: Exercise
  • Th:--0800-1200:Exercise

    Material to be covered: Chapters 1--5, 8,9.

    Tests and quizzes:

  • There will be one (1) midterm, worth 20 points. The dates are .
  • Final: A mandatory comprehensive, final exam will carry 40 points. The date and time are: June, 2006.


    Grades: Grades will be assigned on the basis of 60 points.

  • Midterm: 20
  • Final: 40


    Grade-Score: The total score divided by 3 will produce the final score out of 20.