Akademik Dersler - İçerik

1. explain some concepts about mathematics. • analyse and interpret extreme-value problems. • define and illustrate linear approximations, Taylor polynomials and indeterminate forms. • explain concepts of sums and sigma notation, areas as limits of sums. define various integrals. • express definite and indefinite integrals and their properties. • explain and use integrals of trigonometric, rational and algebric functions. • recognize and illustrate improper integrals. • Calculate integrals of rational functions. 2. express sequences and series. • define sequences and series. • explain and illustrate concepts as convergence, infinite series and power series. • express and use binomial series, Taylor and Maclaurin series. 3. Will be able to determine whether a sequence (series) is convergent or not. • Expresses concepts of sequence, series and convergence. • Explains the convergence of a series. • Uses convergence tests for positive series. • Expresses definition os a power series. • Find Taylor and Maclaurin series of a function. • Expresses Binomial series and Binomial theorem by using Taylor and Maclaurin series.