Akademik Dersler - İçerik

Calculate the volume, surface area, mass, center of mass, and moment with the help of the integral.
Find volumes and surface areas of solids of revolution.
Compute mass, moments, center of mass, and centroid.
Determine the convergence of sequences and series.
Express the concepts of sequence and convergence.
Analyze the convergence of infinite series.
Use convergence tests for positive series.
Determine the convergence interval of the power series.
Find the Taylor and Maclaurin series of a function.
Calculate the derivative of functions of several variables.
Define the concept of limit of a function of several variables.
Analyze the limit of a function of several variables at a given point.
Define the concept of partial derivatives.
Find partial derivatives.
Express the chain rule for functions of several variables.
Apply the chain rule for functions of several variables.
Determine the extreme points of a function of several variables.
Classify the extreme points of a function of several variables.
Express the concepts of directional derivative and gradient vector.
Calculate directional derivative and gradient vector of a function.
Calculate the integrals of functions of several variables.
Define the concept of multiple integrals of a function of two and three variables.
Calculate multiple integrals of a function of two and three variables.
Calculate multiple integrals using the substitution.
Calculate the volume and surface areas of some objects using multiple integrals.
Define basic vector operators such as div, grad, and curl.
Use basic vector operators such as div, grad, and curl to calculate physical quantities such as work and flow rate.