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HU Credits:
4
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Zuhovitsky Evgenija
Coordinator Office Hours:
Sundays, 14-15
Teaching Staff:
Dr. Yves Godin,
Mr.
Course/Module description:
Infinitesimal theory and the Theory of limits. Derivative and Differential, basic theorems: Rolle, Lagrange, Cauchy, Taylor, and L'Hopital.
Series and convergence tests (the Comparison Test, D'Alambert's Test, Cauchy's Test, the Integral Test). Leibniz Series, Power Series. Absolute Convergence, Riemann's Theorem.
Functional Series: conditions for the continuity of the summ of a Functional Series, Series Differentiation and Integration.
Course/Module aims:
Basic knowledge of Analysis; Introduction to methods in Analysis.
Learning outcomes - On successful completion of this module, students should be able to:
1. Basic introduction to Infinitesimal Caculus.
2. Introduction and deep understanding of the concept of sequence and series convergence.
3. Introduction with the idea of uniform convergence.
4. Familiarity with Methods in Analysis.
5. Familiarity with some basic techniques of Calculus.
Attendance requirements(%):
none
Teaching arrangement and method of instruction:
Lectures+exercises
Course/Module Content:
Infinitesimal theory and the Theory of limits. Derivative and Differential, basic theorems: Rolle, Lagrange, Cauchy, Taylor, and L'Hopital.
Series and convergence tests (the Comparison Test, D'Alambert's Test, Cauchy's Test, the Integral Test). Leibniz Series, Power Series. Absolute Convergence, Riemann's Theorem.
Functional Series: conditions for the continuity of the summ of a Functional Series, Series Differentiation and Integration.
Required Reading:
Lectures
Additional Reading Material:
Ben Zion Kuhn, Differential and Integral Calculus I, II
Course/Module evaluation:
End of year written/oral examination 100 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
none
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