Syllabus
M580 Measure Theory I 3 credit units
Rings, Algebras, s-algebras, Monotone classes, Measure: elemetary properties, outer measure, extension, completion and approximation theorems, Lebesque's measure, Lebesque-Stielje's measure, Measurable functions, Integration with respect to a measure, the main theorems, the convergence of measurable functions, Lp spaces.
Syllabus
COURSE MATH 580
SEMESTER II, 1428 – 1429 H
Department of Mathematics
TEXT BOOK: Real Analysis
Authors: J.B.Conway (3rd edition)
Week Course Details
1. Rings,
2. Algebras,
3. s-algebras,
4. Monotone classes,
5. Measure: elemetary properties, outer measure, extension,
6. completion and approximation theorems,
7. Lebesque's measure,
8. Lebesque-Stielje's measure,
9. Measurable functions,
10. Integration with respect to a measure,
11. the main theorems,
12. the convergence of measurable functions,
13. Lp spaces.
14. Dual space
15.
Revision.
COMMING EXAMS:
Mid-Term Exam 1: Monday 15/04/1429 From: 7 to 8.30 (Done)
Mid-Term Exam 2: Monday 24/05/1429 From: 7 to 8.30 (Done)
Final Exam: Wednesday
15/06/1429: From: 1 to 4.00 (PM)
Lecture
Exercises
Solutions
تقيم تقسيم الدرجات:
§ اختبار الفصل الأول: 20
§ اختبار الفصل الثاني: 20
§ درجات التمارين: 10
§ الامتحان النهائي: 50