Welcome to Math 4318: Analysis II with Prof. Heitsch!
Times & Places Lectures are in Skiles 255 on Tuesdays and Thursdays from 12:05 -- 1:25.
Office hours are scheduled for Monday from 4:30 - 5:30pm and Tuesday/Thursday from 1:30 - 2pm in Skiles 211B. (Meeting at other times is possible by appointment.)
Announcements Information about Permits and Waitlists
Handout from Tuesday, Jan 10th: Course Syllabus
Assignment 1, Problem 2(b): Assume that f is differentiable at a and b.
Handout from Thursday, Jan 26th: Logarithmic and exponential functions. It is not necessary to hand in your proofs from class, but you should be certain that you know how to prove the propositions from parts (1), (2), and (3). If you're feeling ambitious, then try part (4).
Exam 1 will be on Thursday, Feb 9th (correction! not Feb 7th) and cover Chapt 5 (Differentiation) and Chapt 6 (Riemann Integration).
There will be no office hour on Monday, Feb 6th. There will be an extra office hour on Friday, Feb 3rd from 4:30 - 5:30.
Exam 1 from February 9th.
Exam 2 will be on Thursday, March 15th and cover up to and including Chapt 7 (Exchange of Limit Operations) and Chapt 8 (Method of Successive Approximations). Note that only the first theorem of section 8.3 is included.
There will be no office hour on Monday, March 12th. There will be extra office hours on Friday, March 9th from 3:30 - 4:30 and Wednesday, March 14th from 4:30 - 5:30.
SYLLABUS REVISION: There will be a third midterm exam on Thursday, April 19th.
SYLLABUS REVISION: The grading schemes are modified as follows. The midterm exams scores on the standard scheme will be best two out of three, and best one out of three on alternative 1. For alternative 2, the final and three midterm exams will be worth 75% = 25% + 25% + 25%, best three out of four.
Assignment 8 is now due on THURSDAY, APRIL 12.
There will be extra office hours on Friday, April 13th from 4 - 5pm.
Assignment 8 is now due on Friday, APRIL 13 by 4pm. It needs to be either given to me in office hours, or delived to my departmental mailbox by the deadline.
Exam 3 will be on Thursday, April 19th and cover up to and including Chapt 9 (Partial Differentiation) and Chapt 10 (Multiple Integrals). Note that sections 9.3 and 10.4 will not be on the exam.
Homework Assignment 0, Version 1 due on Tuesday, January 17th. For students who were NOT in Math 4317 with Prof. Heitsch last semester.
Assignment 0, Version 2 due on Tuesday, January 17th. For students who WERE in Math 4317 with Prof. Heitsch last semester.
Assignment 1 due on Tuesday, January 24th.
Solutions for Assignment 1.
Assignment 2 due on Tuesday, January 31st.
Solutions (revised) for Assignment 2.
Assignment 3 due on Tuesday, Feburary 7th.
Solutions for Assignment 3.
Assignment 4 due on Tuesday, Feburary 21st.
Solutions for Assignment 4.
Assignment 5 due on Tuesday, Feburary 28th.
Solutions for Assignment 5.
Assignment 6 due on Tuesday, March 6th.
Solutions for Assignment 6.
Assignment 7 due on Tuesday, April 3rd.
Solutions for Assignment 7.
Assignment 8 due on Tuesday, April 10th.
Solutions for Assignment 8.
Practice Problems From the textbook:
Chapt. 5, pg 108 - 110, #1, 2, 3, 4, 5, 7.
Chapt. 5, pg 108 - 110, #10, 12, 14. If feeling ambitious, try #15.
Chapt. 6, pg 132 - 133, #3, 4, 5, 8, 14. If feeling ambitious, try #6.
Chapt. 6, pg 132 - 133, #15, 18, 20, 21, 23, 25, 26. If feeling ambitious, try #27, 28.
Chapt. 7, pg 160 - 167, #1, 2, 3, 4, 5, 6, 7, 10, 11, 15. If feeling ambitious, try #16.
Chapt. 7, pg 160 - 167, #18, 20, 21, 25, 26, 27, 28, 30, 32. If feeling ambitious, try #17, 31, 32, 34.
Chapt. 7, pg 160 - 167, #37, 38. If feeling ambitious, try #42.
Chapt. 8, pg 190 - 192, #1, 3.
Chapt. 8, pg 190 - 192, #4, 7, 8, 9, 10, 11. If feeling ambitious, try #5, 6, 14, 15.
Chapt. 9, pg 212 - 214, #1, 2, 7, 8. If feeling ambitious, try #7.
Chapt. 10, pg 244 - 245, #2, 5, 6, 7, 10, 15. If feeling ambitious, try #4, 11, 12, 13, or 14.
Chapt. 10, pg 246 - 247, #21, 22, 23, 24, 25. If feeling ambitious, try #18, 26, 27, and 28.