HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof. Eran Nevo
Coordinator Office Hours:
Sunday 10-11, Ross 58
Teaching Staff:
Prof Eran Nevo
Course/Module description:
Separation Theorems,
Helly, Caratheodory and Tverberg's Theorem,
Extreme Points, Convex Polyhedrons, Volume and Mixed Volumes, the Brunn-Minkowski inequality, Symmetrization, Isoperimetric Inequalities,
Valuations, Bodies of constant width.
Course/Module aims:
Introduction to the notion of Convexity.
Learning outcomes - On successful completion of this module, students should be able to:
Ability to prove and apply the theorems presented in the course.
Ability to apply correctly the mathematical methodology in the context of the course.
Acquiring the fundamentals as well as basic familiarity with the field which will assist in the understanding of advanced subjects.
Ability to understanding and explain the subjects taught in the course.
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
Separation Theorems,
Helly, Caratheodory and Tverberg's Theorem,
Extreme Points, Convex Polyhedrons, Volume and Mixed Volumes, the Brunn-Minkowski inequality, Symmetrization, Isoperimetric Inequalities,
Valuations, Bodies of constant width.
Required Reading:
none
Additional Reading Material:
Eggelston - Convexity; Valentine - Convex Sets; Soltan - Lectures on convex sets;
Grunbaum - Convex poytopes;
Schneider - Convex bodies.
Course/Module evaluation:
End of year written/oral examination 80 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 20 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
none
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