ANALIZA 1

On successful completion of this course students will be able to: 1. Define the basic notions of Mathematical analysis 1: the set of real numbers, the limit of a sequence and function, differentiability of functions, derivatives and antiderivatives on segments. 2. Define the basic properties of the set of real numbers. 3. Derive basic propositions of limit theory and differential calculus, establish when a sequence or function has a limit or the property of continuity or differentiability. 4. Examine and relate properties of functions of one variable using differential calculus. 5. Apply the acquired knowledge to solving different tasks related to the stated content of mathematical analysis. 6. Apply the acquired knowledge to solving real tasks and problems.