1. to convey and reinforce the knowledge on real number sequences, functions of one variable, the
constant e, one-variable differential and integral calculus, definite and improper integrals, and their
application,
2. to acquire thorough understanding of basic concepts and computational processes, and to master skills of using them, 3. to acquire the skill of correct mathematical reasoning and inference. After completing his course the students will be able to:
1. establish the convergence of sequences and evaluate limits of basic types of sequences;
2. establish the limits of functions and known basic types of functions;
3. evaluate derivatives of elementary functions, know basic rules of differentiation and apply derivatives
in evaluations approximate values of expressions, tangent lines, finding the limits of undetermined
expressions, finding local extrema of a function and drawing it’s graph;
4. calculate the indefinite integrals of elementary functions.
