Homework Announcements 240 Lecture Notes Test Data
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Math 240C -- Real Analysis (Spring 2018) Course
Information
http://www.math.ucsd.edu/~bdriver/240C-S2018/index.htm
You should also routinely login to your
TED =Triton ED (https://tritoned.ucsd.edu)
account for more course information. TED
is the web interface through which solutions and possibly other course materials
will be communicated. Please check it frequently for announcements. The
TED site will also contain a record of your
grades for this course -- please make sure they are accurate.
240C New Announcements
-
Final Exam = Qual Exam.
Math 240 Qual is scheduled for Friday, May 25nd from 1:00 -- 4:00 PM in
AP&M
B412. APM
6402.
- The
midterm is on Monday, May 7.
- [Please postpone Exercise 1.33 (Sampling Theorem) of Homework 4 to
Homework 5.]
- I added some missing notation into Homework #3.
- Please note that Exercise 1.6 on homework #2 has been corrected, see the
updated problem sheet.
-
Supplementary notes may be found in
Supplements.pdf.
This has been updated on May 16, 2018.
- I set up an experimental Piazza site for this class to
at
-
https://piazza.com/ucsd/spring2018/math240c/home
-
Final Exam = Qual Exam.
Math 240 Qual is scheduled for Friday, May 25nd from 1:00 -- 4:00 PM in
AP&M
B412. APM
6402.
- The qualifying exam is cumulative over the whole years
material!!
- Here is the Spring 2012 Qualifying Exam for Practice:
240qual_s2012_test.pdf
There will be no classes during the qual exam week of May 21 -- May
30, 2018.
- Monday, May 28 is Memorial day, a
UCSD holiday.
Instructor: Bruce
Driver (bdriver@ucsd.edu /
534-2648) in AP&M 5260.
Office Hours: M. & W. 1-2 PM in my office (AP&M
5260). [These are subject to change.]
Grader: Donlapark
Pornnopparath
(dpornnop@ucsd.edu) AP&M
5748:
Office Hours: M. & W. 4-5 PM in APM 5748.
Course Meeting times: MWF
12:00 --
12:50 PM in AP&M 5402.
Textbook: We
will use the course lecture notes and also the book; "Real
Analysis, "Modern Techniques and Their Applications," 2nd
edition by Gerald B. Folland,
Prerequisites:
This is a continuation of Math 240A-B.
Students are assumed to be familiar with the material already covered in the
first two quarters. The previous quarter web-pages may be found at:
http://www.math.ucsd.edu/~aioana/Math240A.html and
http://www.math.ucsd.edu/~aioana/Math240B.html
Homework:
Homework
is assigned, collected, and partially graded
regularly. Each homework is due at the beginning of each Friday class unless
otherwise instructed.
-
Please print your names and
student ID numbers on your homework. Please staple together your homework
pages.
-
No
late homework will be accepted unless a written verification of a valid
excuse (such as hospitalization, family emergency, religious observance,
court appearance, etc.) is provided.
Test times: Note: neither rescheduled nor make-up exams will be allowed unless a written
verification of a valid excuse (such as hospitalization, family emergency,
religious observance, court appearance, etc.) is provided.
-
There
will be one in class
midterm on Monday, May 7.
-
The final exam
will be the same as the qualifying exam
which is scheduled from 1:00 -- 4:00 PM on
Friday, May 25 (in APM
6402). The qualifying exam is cumulative over the whole years
material!!
Grading: The course grade will be computed
using the following formula:
Grade=.3(Home Work)+.3(Midterm)+.4(Final=Qual
Exam).
Topics
to be covered
Math 240C (Spring 2018)
-
Integration in Polar Coordinates:
Section 2.7.
-
Continue L^p spaces in sections
6.2-6.3 and partially 6.4 including convolution inequalities.
-
Chapter 8 on Elements of Fourier
Analysis
-
Describe results on Radon measure in
Chapter 7.
Possible further topics
-
Distribution theory and elliptic
regularity, see Chapter 9 of Folland..
-
Some basic Sobolev space theory.
-
Hilbert Schmidt
operators, the spectral theorem for self-adjoint compact operators.
-
Differential Calculus on Banach spaces and the
Inverse and implicit Function Theorems.
-
Basic non-linear ODE theory on Banach spaces
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A little complex analysis.
-
The Spectral Theorem for bounded self-adjoint
operators on a Hilbert space.
-
Unbounded operators and the Spectral
Theorem for self-adjoint operators.
-
Properties of ordinary differential
equations.
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