### 2021–22–B

#### Time and Place:

• יום ב 10:00 - 08:00 in גולדברגר [28] חדר 105
• יום ד 10:00 - 08:00 in גולדברגר [28] חדר 107

## Course topics

1. Real numbers. Supremum and Infimum of a set. 2. Convergent sequences, subsequences, Cauchy sequences. The Bolzano-Weierstrass theorem. Limit superior and limit inferior. 3. Series. Partial sums, convergent and divergent series, Cauchy criterion. Series of non-negative terms. The root and the ratio tests. Conditional and absolute convergence. The Leibnitz test for series with alternating signs. Rearrangements of series (without proof) 4. The limit of a function. Continuous functions. Continuity of the elementary functions. Properties of functions continuous on a closed interval: boundedness and attainment of extrema. Uniform continuity, Cantor?s theorem. 5. The derivative of a function. Mean value theorems. Derivatives of higher order. L’Hospital’s rule. Taylor’s theorem. Lagrange remainder formula.

## Students' Issues

Aguda Representative
רכזת סיוע אקדמי - הנדסה א’ - ניצן עציון
Staff Observers