Akademik Dersler - İçerik

explain basic concepts about Calculus.
Explains real numbers and real line, intervals, the absolute value, solutions of equations and inequalities
Expresses equations of lines.
Expresses the curves given by quadratic equations.
Determines the domain and range of a function.
explain limit concept of functions with single variable
Explains approximation to a point.
Expresses features of limits of functions.
Expresses the definition of a function at a point.
Explain the concept of continuity of a function.
Defines the continuity of a function at a point.
Determines the discontinuity points of a given function.
Explains the intermediate value and the maxiumum-minimum theorems for a continuous function.
Uses the bisection method to find the roots of equations.
express basis of derivation.
Expresses differentation rules.
Expresses the mean-value theorem.
Recognizes high-order derivations.
Expresses the definition of derivative of a function at a point.
Explain the concept of inverse function
Examines the inverse of a function
Performs operations related to the inverse of a function
Calculates the derivative of the inverse function
Finds the inverse of trigonometric, hyperbolic functions
Calculates derivatives of inverse trigonometric and inverse hyperbolic functions
Will be able to explain the concepts of exponential and logarithmic functions
Defines the exponential function
Calculates derivatives of exponential functions
Defines the logarithmic function
Solves problems with logarithmic function
Defines the natural logarithm function
Calculates derivatives of logarithmic functions
Solves growth and decay problems
Will be able to explain the concept of complex numbers
Defines complex numbers
Performs operations on complex numbers
Finds the root of a complex number