FACULTY OF SCIENCE / MATHEMATICS / MAT2002 - ANALYSIS IV

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Topological Structures in R*n[1] s. 126-134
2Domain and Range of Multivariable Functions, Graphs of Bivariate Functions[1] s. 136-140
3Limit and Continuity of Multivariable Functions[1] s. 141-149
4Partial derivatives, Chain rule, Exact differential calculus, Derivatives of implicit functions, Directional derivatives, Taylor expansion.[1] s. 150-168, 170-178
5Maximums and Minimums, Conditional Extremums. [1] s. 181-191
6Region Transformations, Functional Dependence, Vector Fields, Geometric Meaning of Partial Derivatives, Differentiation Under the Integral Sign[1] s. 196-213
7Double Integrals, Quadratic Transformation in Double Integrals[1] s. 219-230
8Applications of Double Integrals (Area, Volume, Mass Calculation, Center of Gravity)[1] s. 231-240
9Triple Integrals, Quadrant Transformation in Triple Integrals[1] s. 245-253
10Applications of Triple Integrals (Volume, Mass Calculation, Center of Gravity)[1] s. 257-262
11Curve Integrals and Their Fundamental Theorems, Green's Theorem[1] s. 267-288
12Applications of Curve Integrals (Area, Arc Length, Mass Calculation, Center of Gravity)[1] s. 293-297
13Surface Integrals and Fundamental Theorems[1] s. 301-313
14Yüzey İntegrallerinin Uygulamalar (Alan, Kütle Hesabı, Ağırlık Merkezi)[1] s. 317-320