# صالح احمد محمد مشرى

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 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