Akademik Dersler - İçerik

Student explains the concept of limit.
define the concept of multi variable function.
determine the definition and range of a multi variable function.
Student should be able to analyze limit situation related to some properties of mathematical concepts.
Student should be able to give limit situation examples related to various level mathematical concepts.
Student should be able to interpret limit situation in a problem that is given.
Student should be able to develop an awareness related to developments of limit concept in various levels.
Student should be able to interpret the limit concept formally.
define the concepts of limit and continuity of two variable function.
explain the concept images of limit and continuity of two variable functions.
Student should be able to use the formal limit definition to prove the limit of single variable function at a point.
interpret the concept images of limit and continuity of two variable functions.
interpret concepts of limit and continuity of two variable function geometricaly.
Student should be able to relate dynamic and formal limit interpretations.
do calculations about limit.
do calculations about continuity.
differantiate the situations in which she can use the rule of L'Hospital.
Student should be able to examine a limit situation on graph representation.
do calculations of directional derivative.
do calculations of partial derivative.
calculate partial derivatives of a composite multi-variable functions.
Student should be able to calculate limit of a single variable function.
define the concept of double integral.
interpret the concept of double integral geometrically.
describe the concept of indefinite integral.
Student should be able to explain derivation concept.
do calculations of double integrals in the cartesian coordinates.
do calculations of double integrals in the polar coordinates.
calculate volumes with double integral.
Student should be able to analyze the relationship between the concepts of limit and derivation.
Student should be able to interpret the derivative concept geometrically.
Student should be able to examine the derivative by calculating the limit of exchange ratio.
Student should be able to interpret the change ratio and instanteneous velocity in various problem situations.
Student should be able to analyze the concept of derivative function.
Student should be able to relate derivative function and derivative of the function at a point.
Student should be able to analyze the relation between differentiation of a function and derivative function.
Student should be able to analyze obtaining process of the derivative function.
Student should be able to apply the derivative concept to inverse functions and higher degree derivatives.
Student should be able to analyze the proof of fundamental theorems related to applications of derivative concept.
Student should be able to explain the integral concept.
Student should be able to analyze the limit situation in Riemann integral.
Student should be able to calculate integrals of fundamental functions by means of area.
Student should be explain cumulative function.
Student should be able to analyze the relation between cumulative function and the fundamental theorem.
Student should be able to analyze derivative, integral and relation between them in velocity problem.
Student should be able to calculate fundamental derivatives.
Student should be able to use integral concept to calculate area of a region.
Student should be able to analyze the continuity.
Student should be able to explain continuity concept.
Student should be able to examine continuity of the function at a point.
Student should be able to examine continuity set of a function.