2019–20–A
Course topics
The system of the real numbers (without Dedekind cuts). The supremum axiom. Convergent sequences, subsequences, monotonic sequences, upper and lower limits. Series: partial sums, convergent and divergent series, examples, nonnegative series, the root test, the quotient test, general series, Dirichlet, Leibnitz, absolute convergence implies convergence (without a proof). Limits of functions, continuity, the continuity of the elementary functions, extrema in compact intervals. The derivative of a function, Lagrange’s Mean Value Theorem, high order derivatives, L’hospital’s rules, Taylor’s Theorem, error estimates, lots of examples. The Riemann integral: only for piecewise continuous functions (finitely many points of discontinuity). Riemann sums and the definition of the integral, The Fundamental Theorem of Calculus, the existence of primitive functions (anti-derivatives). Integration techniques: integration by parts, substitutions, partial fractions (without proofs), improper integrals, applications of integrals, estimation of series with the aid of integrals, Hardy’s symbols O, o and Omega, approximation of momenta and the Stirling formula.
University course catalogue: 201.1.2361
Students' Issues
- Class Representative
- דן אמסלם
- Aguda Representative
- רכזת סיוע אקדמי - מדעי הטבע - אביטל פיימן
- Staff Observers
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- איילת מארק (Faculty - Engineering)
- עמי ישעיה (Faculty - Engineering)
- רפאל שיקלר (Faculty - Engineering)
- פרופ’ דביר שבתאי (Faculty - Engineering)
- פרופ’ אורן שדות (Faculty - Engineering)
- פרופ’ פז כרמי (Computer science)
- פרופ’ דני הנדלר (Computer science)
- Eden Chlamtac (Computer science)
- Chen Keisar (Computer science)
- פרופ’ עופר ניימן (Computer science)
- איתן גרוספלד (Faculty - Natural sciences)
- רויטל בינדר (Faculty - Natural sciences)
- פרופ’ גיא שני (Software Engineering)
- ד”ר גרא וייס (Software Engineering)
- פרופ’ ארנון שטרום (Software and information systems engineering)
- פרופ’ אריאל פלנר (Software and information systems engineering)