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Syllabus CONVEXITY - 80511
עברית
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Last update 20-10-2018
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 Email: nevo@math.huji.ac.il

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
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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