Ders 莽ok de臒i艧kenli fonksiyonlardaki ikili dizinin birincisidir. Burada 莽ok de臒i艧kenli fonksiyonlardaki temel t眉rev ve entegral kavramlar谋n谋 geli艧tirmek ve bu konulardaki problemleri 莽枚zmekteki temel y枚ntemleri sunmaktad谋r. Ders ger莽ek ya艧amdan gelen uygulamalar谋 da tan谋tmaya 枚nem veren 鈥渋莽erikli yakla艧谋mla鈥� tasarlanm谋艧t谋r.
B枚l眉mler B枚l眉m 1: Genel Konular ve D眉zlemdeki Vekt枚rler B枚l眉m 2: Uzayda Vekt枚rler, Do臒rular ve D眉zlemler; Vekt枚r Fonksiyonlar谋 B枚l眉m 3: D眉zlem E臒rilerinden Hat谋rlatmalar ve Uzay E臒rileri, 陌ki De臒i艧kenli ve 陌kinci Derece Fonksiyonlar ve Kar艧谋t Gelen Y眉zeyler B枚l眉m 4: 脰zel Yap谋daki 陌ki De臒i艧kenli Olarak Karma艧谋k Fonksiyonlar, 陌ki De臒i艧kenli Fonksiyonlarda K谋smi T眉rev ve 陌ki Katl谋 Entegralin Temel Tan谋mlar谋; Limit Kavram谋n谋n Gereklili臒i ve Anlat谋m谋 B枚l眉m 5: T眉rev Hesaplama Y枚ntemleri B枚l眉m 6: T眉rev Uygulamalar谋 B枚l眉m 7: 陌ki Katl谋 Entegraller ve Uygulamalar谋 ----------- The course is the first of the sequence of calculus of multivariable functions. It develops the fundamental concepts of derivatives and integrals of functions of several variables, and the basic tools for doing the relevant calculations. The course is designed with a 鈥渃ontent-based鈥� approach, i. e. by solving examples, as many as possible from real life situations. Chapters Chapters 1: General Topics and Vectors in the Plane Chapters 2: Vectors in Space, Lines and Planes; Vector Functions Chapters 3: Reminders of Plane Curves and Space Curves, Quadratic Functions and Variables, Surfaces Chapters 4: Special Two Variables Complex Functions, the Basic Definition of Partial Derivatives and Two Storey Integrals in Two Unknown Functions ; Necessity and Details of Limits Chapters 5: Methods of Derivative Calculations Chapters 6: Application of Derivatives Chapters 7: Two Storey Integrals and Applications ----------- Kaynak: Attila A艧kar, 鈥溍噊k de臒i艧kenli fonksiyonlarda t眉rev ve entegral鈥�. Bu kitap d枚rt ciltlik dizinin ikinci cildidir. Dizinin di臒er kitaplar谋 Cilt 1 鈥淭ek de臒i艧kenli fonksiyonlarda t眉rev ve entegral鈥�, Cilt 3: 鈥淒o臒rusal cebir鈥� ve Cilt 4: 鈥淒iferansiyel denklemler鈥� dir. Source: Attila A艧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
