ANALIZA 2

On successful completion of the course, students will be able to: 1. Define the basic notions of mathematical analysis 2: Riemann integral on a closed interval, area of a curvilinear trapezoid, curve and curve length, volume and area of a solid of revolution, improper integral, convergent series. 2. Derive basic propositions related to the Riemann and improper integral and convergent series. 3. Calculate the Riemann integral as a limit of the sequence of integral sums. 4. Examine and associate the properties of differentiability and integrability of functions of a real variable. 5. Apply some integral formulas. 6. Apply the acquired knowledge to solving different tasks related to the stated content of mathematical analysis. 7. Apply the acquired knowledge to solving real tasks and problems.