Akademik Dersler - İçerik

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.
Determines the domain and range of a function.
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.
Explains approximation to a point.
Expresses features of limits of functions.
Expresses the definition of a function at a point.
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.
Uses the bisection method to find the roots of equations.
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.
applies the concept of derivative to related rates and extreme value problems and sketch the graph of a function.
Solves the related-rates problems.
Finds extreme values of a function.
Finds the linear approximation of a function at a given point.
Finds the Taylor polynomial of a function at a point.