FACULTY OF SCIENCE / MATHEMATICS / MAT4013 - REAL ANALYSIS I

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Set sequences[2] s. 1-5
2Liminf and limsup[2] s. 5-7
3Convergence of set sequences[2] s. 7-9
4Sigma ring, sigma algebra[2] s. 9-10
5Measurable sets[2] s. 10-14
6Masure[2] s. 20-22
7Other masure[2] s. 22-28
8Lebesque masure and other masure[2] s. 28-30
9Measurable functions[2] s. 30-31
10Integration of simple functions[2] s. 31-42
11Integration of positive functions[2] s. 53-55
12Integration functions[2] s. 55-60
13Lebesque's Dominated Convergence Theorem[2] s. 60-69
14Comparing Lebesque integral and Riemann integral[2] s. 80-88