ok de i kenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: Applications

Ders ok de i kenli fonksiyonlardaki iki derslik dizinin ikincisidir. Birinci ders t rev ve entegral kavramlar n geli tirmekte ve bu konulardaki problemleri temel ”zme y ntemlerini sunmaktad r. Bu ders, birinci derste geli tirilen temeller zerine daha ileri konular i lemekte ve daha kapsaml uygulamalar ve ”z ml rnekler sunmaktad r. Ders ger ek ya amdan gelen uygulamalar da tan tmaya nem veren ‘i erikli yakla”mla’ tasarlanm”t r. B l mler B l m 1: Multivar 1’in zeti, Dairesel Koordinatlarda Entegraller B l m 2: T rev Uygulamalar ndan Se me Konular B l m 3: ok De i kenle Zincirleme T rev ve Jakobiyan B l m 4: Uzayda Y zey ve Hac m Entegralleri B l m 5: D zlemde Ak Entegralleri B l m 6: D zlemde Green, Uzayda Stokes ve Green-Gauss Teoremleri B l m 7: Stokes ve Green-Gauss Teoremleri ve Do an n Korunum Yasalar ———– The course is the second of the two course sequence of calculus of multivariable functions. The first course develops the concepts of derivatives and integrals of functions of several variables, and the basic tools for doing the relevant calculations. This course builds on the foundations of the first course and introduces more advanced topics along with more advanced applications and solved problems.

The course is designed with a ‘content-based’ approach, i. e. by solving examples, as many as possible from real life situations. B l mler B l m 1: Summary of Multivar I, Integral in Circular Coordinates B l m 2: Topics of Derivative Applications B l m 3: Chain Derivatives with Multi Variables and Jacobian B l m 4: Surface and Volume Integrals in Space B l m 5: Flux Integrals in the Plane B l m 6: Green in Plane, Stokes in Space and Green-Gauss Theorems B l m 7: Stokes and Green-Gauss Theorem and Nature Conservation Laws ———– Kaynak: Attila A kar, ‘ ok de i kenli fonksiyonlarda t rev ve entegral’. Bu kitap d rt ciltlik dizinin ikinci cildidir. Dizinin di er kitaplar Cilt 1 ‘Tek de i kenli fonksiyonlarda t rev ve entegral’, Cilt 3: ‘Do rusal cebir’ ve Cilt 4: ‘Diferansiyel denklemler’ dir. Source: Attila A kar, Calculus of Multivariable Functions, Volume 2 of the set of Vol1: Calculus of Single Variable Functions, Volume 3: Linear Algebra and Volume 4: Differential Equations. All available online starting on January 6, 2014