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HU Credits:
6
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
1st and/or 2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Dr. Cy Maor
Coordinator Office Hours:
Teaching Staff:
Dr. Cy Maor,
Prof Shahar Mozes,
Mr. Daniel Ofner,
Mr. Deutsch Arye
Course/Module description:
Rigorous course in calculus of functions in several real variables.
Course/Module aims:
Familiarity with basic metric space theory, differentiation and Riemann integration of functions in R^N.
Learning outcomes - On successful completion of this module, students should be able to:
Familiarity with basic concepts in metric space theory.
Familiarity with calculus of functions in several variables.
Familiarity with mathematical notions.
Attendance requirements(%):
Teaching arrangement and method of instruction:
Lecture + recitation
Course/Module Content:
Metric and normed spaces, open and closed sets, continuity, compactness and completeness, functions between Euclidean spaces, partial derivatives and differentiability, Taylor’s theorem, classification of critical points, inverse function theorem, inverse- and implicit-function theorems, Lagrange multipliers, Riemman integration in R^N, Fubini theorem, change of variable theorem.
Other topics may be taught.
Required Reading:
none
Additional Reading Material:
none
Course/Module evaluation:
End of year written/oral examination 90 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 10 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
Other or additional topics may be studied.
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