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HU Credits:
4
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof Michael Hochman
Coordinator Office Hours:
Teaching Staff:
Dr. Yoel Groman,
Mr. Nethanel Levi
Course/Module description:
Measurable sets and functions, measures, integrals, fundamental limit theorems for integrals, the Riesz representation theorem, regularity of measures, Lebesgue measure, Lusin's theorem, spaces of integrable functions and fundamental inequalities, complex measures, the Radon-Nikodym and Lebesgue decomposition theorems, measure differentiation, product spaces and the Fubini theorem
Course/Module aims:
See learning outcomes
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 understand and explain the subjects taught in the course.
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture + exercise
Course/Module Content:
Measurable sets and functions, measures, integrals, fundamental limit theorems for integrals, the Riesz representation theorem, regularity of measures, Lebesgue measure, Lusin's theorem, spaces of integrable functions and fundamental inequalities, complex measures, the Radon-Nikodym and Lebesgue decomposition theorems, measure differentiation, product spaces and the Fubini theorem
Other topics may be studied
Required Reading:
none
Additional Reading Material:
W. Rudin, Real and Complex Analysis
G. Folland, Real Analysis
Course/Module evaluation:
End of year written/oral examination 85 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 15 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
Fall 2020: If the exam cannot be held on campus, the exam will be held by other means. In this case an interview may be included as part of the examination.
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