Course Contents |
Definition of integral, integral Sellin features, the basic integral formula, integral techniques, applications of integration, improper integrals, series, power series, Taylor and Maclaurin series. |
Weekly Course Content |
Week |
Subject |
Learning Activities and Teaching Methods |
1 |
Indefinite Integral, indefinite integration rules, Change of Variables Method, Method of Integration by Parts. |
topics related with solving |
2 |
A simple method of partial fractions, trigonometric expressions İntegrallenmesi |
topics related with solving |
3 |
Integral of Irrational algebric functions, Binom integrals |
topics related with solving |
4 |
Integrals of the radical expressions, Definition of definite integral |
topics related with solving |
5 |
The problems of causing definite integral, Properties of definite integral |
topics related with solving |
6 |
The method of changing variable, partial integral |
topics related with solving |
7 |
Generalized integrals, nonspecific integrals, random examples |
topics related with solving |
8 |
mid-term exam |
|
9 |
The convergence criterias of generalized integrals |
topics related with solving |
10 |
Calculation of area, calculation of length of arc |
topics related with solving |
11 |
Calculation of volume |
topics related with solving |
12 |
Computation of surface area |
topics related with solving |
13 |
The domains of functions of several variables |
topics related with solving |
14 |
Limits and continuity of functions of several variables |
topics related with solving |
15 |
Limits and continuity of functions of several variables |
topics related with solving |
16 |
final exam |
|
Recommend Course Book / Supplementary Book/Reading |
1 |
Mustafa Balcı, Analiz I, Balcı yayınları, 2003, Ankara. |
Required Course instruments and materials |
projection |