MathematIcs – 1 ,   Basics of  Calculus

Ata ATUN

 

 

 

Contents

Title                                                                                                                           i

Copyright                                                                                                                  ii

Preface                                                                                                                      iii

Table of Contents                                                                                                     iv

 

SYMBOLS AND NOMENCLATURE                                                                1

 

Chap 1           TRIGONOMETRIC FUNCTIONS                                             2

                   Circular functions, mensuration of a circle, circular functions, trigonometric ratios, numerical trigonometry,  the graphs of  circular functions, the reciprocal ratios, inverse circular functions, the solutions of  triginometric equations

                                   

 

Chap 2           INTEGRATION                                                                             64

                   Indefinite integrals. İntegration as the reverse of differentiation. İntegration of products, fractions, trig functions. Cahnge of variable. Differential equations. Definite integration as summation. Area by integration

 

 

REFERENCES                                                                                                      81

 

ANSWERS OF EXERCISES                                                                               82

 

References

 

1.      FLANDERS, H. : Calculus  

Florida, USA :W. H. Freeman and Company Publication, 1985

                   

2.      DERMAN M. Z. ; ÖZKÖSELER Ö. ; ÖZTÜRK İ. ; ERGÜN M.:  Matematik

 Ankara, TR : Zafer Eğitim ve Öğretim yayını, 1997

          

3.      KOÇAK, Ş. ; ÜREYEN M. ; GÖĞÜŞ, M. ; OLGUN, Ş. ; GÖRGÜLÜ, A. :

Genel Matematik, Ünite 1-12

     Eskişehir, TR : Anadolu Üniversitesi yayını, 1997

 

4. HACISALİHOĞLU, H. ; KAYA, R. ; ESİN, A. ; ÜREYEN, M. ; GÖRGÜLÜ, A. OLGUN, Ş. : Genel Matematik, Ünite 13-24

     Eskişehir, TR : Anadolu Üniversitesi yayını, 1997                     

 

5.  SPIEGEL R. M. : Schaum’s Outline of Theory and Problems of Advanced Mathematics

     New York, USA : McGraw-Hill Book Company Publication, 1971

 

6.  FRANK, A. ; MENDELSON, E. : Schaum’s Outline of Theory and Problems of Differential and Integral Calculus

     London, UK : McGraw-Hill Book Company Publication, 1992

 

7. GEORGE, B. T. : Calculus and Analytic Geometry, 3rd Ed.

     London, UK : Addison-Wesley Publishing Company, Inc., 1960

 

8. GEORGE, B. T. : Calculus and Analytic Geometry, 4th Ed.

     Massachusetts, USA : Addison-Wesley Publishing Company, Inc., 1972