Akademik Dersler - İçerik

Defines basic concepts of mathematics
Defines real numbers
Defines equations of lines, circles, parabolas, ellipses and hyperbolas
Makes calculations on functions
Explains concepts of limit and continuity
Defines the limit of a function at a point and makes its geometric interpretation.
Calculates limits of functions using the rules of limits.
Determines the behavior of a function at a point via its limit.
Calculates limits at infinity and infinite lmits
Explains the concept of derivative
Finds the equation of a line tangent to the graph of a function at a point.
Defines the concept of derivative and makes its geometric interpretation.
Calculates derivatives of functions using the rules of differentiation.
Interpret the mean value theorem geometrically.
Defines exponential and logarithmic functions.
Defines the concept of inverse function.
Calculates the derivative of the inverse of a function at a point.
Knows the properties of exponential and logarithmic functions and calculates their derivatives.
Apply derivatives to mathematical problems.
Determines the intervals on which a function is increasing and decreasing.
Calculates the Taylor polynomial of a function.
Finds and classifies the extreme values of a function.
Explain the concept of complex numbers.