At the end of this course the students are expected
- To analyze functions using limits, derivatives, and integrals.
- To master differentiation and integration theory and techniques which are needed in various branches of sciences.
- Use various tests to determine series convergence, perform standard operations with convergent power series, find Taylor and Maclaurin representations.
- To utilize infinite series and use them for approximation.
- To be able to apply these theory and techniques to real life problems.
- To recognize the appropriate tools of calculus to solve applied problems
- To master mathematical reasoning and writing.