Jacob Bernstein


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Math 416: Honors Analysis II


Course Description

This is the second course analysis. Topics covered in the course will include, functions of a bounded variation, Riemann and Lebesgue integration theory and other topics. There will be 11 problem sets (30% of final grade), and two in class exams (70% total -- your higher score will count for 40% and your lower score for 30%).

Lectures are Monday and Wednesday 1:30-2:45pm in Maryland 202.

Section is Friday 1:30-2:20 in Maryland 202.

Problem sets will be due in section on Friday (see below for the assignments). No late homework will be accepted. Your two lowest grades will be dropped.

Lecturer office hours: Wednesday 3-4pm or by appointment, in Krieger 408.

TA: Xiyuan Wang. Office hours: Thursday 12:15-1:15pm, in Krieger 202.

The syllabus is here.

References

The course text is
  • Carothers, "Real Analysis," Cambridge University Press, 2000

Exams

There will be two in class exams. The exam you score higher on will count for 40% of your final exam and the one you score lower on will count for 30%.

The dates of the exames are
First Exam: Wednesday, March 14.
Second Exam: Wednesday, May 2.

(Tentative) Schedule

Week 1 (1/29 & 1/31):

Read: Chapter 13
No homework due.

Week 2 (2/5 & 2/7):

Read: Chapter 14 (pp. 216-226)
Problem Set 1 due. Do Ch. 13: 1, 3, 5, 6, 11, 14, 15.

Week 3 (2/12 & 2/14):

Read: Chapter 14 (pp. 227-234)
Problem Set 2 due. Do Ch. 14: 1, 3, 6, 7, 9, 10, 23, 27

Week 4 (2/19 & 2/21):

Read: Chapter 16
Problem Set 3 due. Do Ch. 14: 29, 31, 36, 39, 41, 42, 50

Week 5 (2/26 & 2/28):

Read: Chapter 16 (264-271)
Problem Set 4 due. Do Ch. 16: 2, 3, 5, 8, 13, 15, 16, 21

Week 6 (3/5 & 3/7):

Read: Chapter 16
Problem Set 5 due. Do Ch. 16: 25, 28, 38, 40, 45, 51, 61, 66

Week 7 (3/12 & 3/14): First Exam

Read: Chapter 17
Problem Set 6 due. Do Ch. 16: 53, 59, 69, 73, 76
First Exam. Solutions

Week 8: Spring Break

Enjoy

Week 9 (3/26 & 3/28):

Read: Chapter 17
Problem Set 7 due. Do Ch. 17: 1, 3, 4, 5, 8, 12

Week 10 (4/2 & 4/4):

Read: Chapter 18
Problem Set 8 due. Do Ch. 17: 14, 17, 21, 31, 35, 36. Ch. 18: 1, 3

Week 11 (4/9 & 4/11):

Read: Chapter 18
Problem Set 9 due. Do Ch. 18: 4, 6, 10, 15, 23, 24, 28, 37

Week 12 (4/16 & 4/18):

Read: Chapter 15
Problem Set 10 due. Do Ch. 18: 38, 40, 41, 42, 43a), 51. Ch. 15: 6

Week 13 (4/23 & 4/25):

Read: Chapter 19
Problem Set 11 due. Ch. 15: 7, 8, 9. Ch. 19: 1, 2, 26, 33

Week 14 (4/30 & 5/2): Second Exam

No homework due.
Second Exam. Solutions

Students with disabilities

Students with documented disabilities or other special needs who require accommodation must register with Student Disability Services. After that, remind the instructor of the specific needs at least two weeks prior to each exam; the instructor must be provided with the official letter stating all the needs from Student Disability Services.

JHU ethics statement

The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition.

Report any violations you witness to the instructor. You may consult the associate dean of students and/or the chairman of the Ethics Board beforehand. Read the "Statement on Ethics" at the Ethics Board website for more information.

If a student is found responsible through the Office of Student Conduct for academic dishonesty on a graded item in this course, the student will receive a score of zero for that assignment, and the final grade for the course will be further reduced by one letter grade.


Spring 2018 -- Department of Mathematics, Johns Hopkins University.