Course Description: Upon completion of this two-semester series, students should master concepts and theories of outer measure, the Caratheodory extension theorem, general measures, Lebesgue integrals with respect to a measure, Lebesgue measures, Lebesgue-Stieltjes measures, product measures, convergence theorems, Fubine-Tonelli theorem, signed measures, functions of bounded variation, absolutely continuous functions, differentiation theory, differentiation of a measure, metric spaces, compactness, Banach spaces, Lp spaces, Hilbert spaces, basic Fourier analysis, bounded linear functionals, dual spaces, and bounded linear operators.
Textbook: REAL ANALYSIS, Modern Techniques and Their Applications, by G.B. Folland, 2nd Ed.
Exam 1:
MATH 5322 – Exam 1 w Key (F2011) – Real Analysis 1 (Alex Wang)
Exam 2:
MATH 5322 – Exam 2 w Key (F2011) – Real Analysis 1 (Alex Wang)
Exam 3:
MATH 5322 – Exam 3 w Key (F2011) – Real Analysis 1 (Alex Wang)
Final Exam:
MATH 5322 – Final w Key (F2011) – Real Analysis 1 (Alex Wang)
___________________________________________________________________
Help Wetalldid get bigger by uploading a Test!! To upload your test, take a picture of it with a mobile phone and send it to SendTestsHere (at) gmail (dot) com. You can block out your name on the test with a post-it note. If I receive a test with a name on it I will cover up the name, upload the test, and erase the original copy (with your name) from eternity.
If this post was helpful let me know… If you want to see more tests on this subject, let me know in the comments below!