Akademik Dersler - İçerik

Be able to define the definite integral of a function.
Expresses the area of plane regions as the limit of infinite sums.
Express the properties of the definite integral.
Calculates integrals of some functions using the properties of the definite integral.
States the fundamental theorem of differential and integral calculus.
Be able to calculate integrals using integration techniques.
Apply the method of substitution and integration by parts.
Calculates integrals using the inverse substitution method.
Calculates integral of rational functions.
Examines the convergence of improper integrals.
Be able to use integral in mathematical applications.
Calculates the volumes of solids of revolution.
Calculates the arc lengths of curves.
Calculates the areas of surfaces of revolution
Be able to calculate the derivative of multivariable functions.
Defines the concept of limit for a function of several variables.
Examines the continuity of a function of several variables.
Defines the concept of partial derivative for functions of several variables.
Determines the extremum points of functions of several variables.