|
HU Credits:
4
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Or Hershkovits
Coordinator Office Hours:
Teaching Staff:
Prof. Or Hershkovits,
Mr. Jonathan Shaulker
Course/Module description:
Regular surfaces,
Integration on surfaces,
Line integrals,
Green's Theorem, Gauss' Divergence Theorem, Stokes' Theorem, Curves in R^3, curvature and torsion and the Serret-Frenet equations, surfaces in R^3, First and Second fundamental forms, Theorema Egregium,
abstract surfaces, introduction to manifolds.
Course/Module aims:
Learning outcomes - On successful completion of this module, students should be able to:
1. The students will be able to recover the proofs appearing in class
2. The students will be able to check whether an object is a manifold, to compute integrals on it, and to apply theorems which relate the integral on a body and the integral on its boundary.
Attendance requirements(%):
Teaching arrangement and method of instruction:
Course/Module Content:
See Course description. Additional topics might be taught, and some topics might be skipped over.
Required Reading:
None
Additional Reading Material:
R. Courant and F. John, Introduction to Calculus and Analysis, Vol I, Vol. II/1 and Vol II/2
Zorich, Mathematical
Analysis I & II
Munkres, Analysis on
manifolds.
Do-Carmo, Differential Geometry of curves and surfaces.
לינדנשטראוס, חשבון אינפי מתקדם I, II.
Grading Scheme :
Written Exam % 90
Submission assignments during the semester: Exercises / Essays / Audits / Reports / Forum / Simulation / others 10 %
Additional information:
|
