Math 406 Real Analysis II,      Spring 2024



 

   Instructor:


Course Assistant:

        Lecture Room: Krieger 204

Textbook:


Exams: There will be a midterm exam and a final exam:

     


Grade Policy:


The course grade will be determined as follows:


Homework:


Weekly homework assignments will be posted here. Homeworks are collected and returned to the course assistant on Fridays in section. No late homeworks will be accepted. The lowest homework score will be dropped from the final grade calculation. 


You are encouraged to do your homework independently. You can work in groups if you feel that is helpful. However, you must write up your solutions on your own. Copying is not acceptable.


week 1 Transcendental Functions (First day of classes Jan 22) 


week 2 Transcendental Functions, Euclidean Space and Metric Spaces   HW1 page335-336 problems 4, 5, 10, 13 p366-367 problems 5, 7, 9, 12 HW1 is due on Friday Feb 2.


week 3 Euclidean Space and Metric Spaces HW2 page 384-386 problems 2, 3, 4, 5. HW2 is due on Friday Feb 16. 


week 4 Euclidean Space and Metric Spaces HW3 page 384-386 problems 6, 8, 9, 11, 13, 15. HW3 is due on Friday Feb 16. 


week 5 Differential Calculus in Euclidean Space HW4 page 384-386 problems 16, 17, 18. HW4 is due on Wednesday Feb 28.


week 6 Differential Calculus in Euclidean Space HW5 page 409-410 problems 7, 9, 15, 20, 22, 23, 24. HW5 is due on Monday March 4.


week 7 Ordinary Differential Equations, March 6 has Midterm There is no homework this week.


week 8 Ordinary Differential Equations  HW6 page 435-436 problems 4, 5, 7, 10, 11 page 483-485 problems 1, 3, 5, 6. HW6 is due on Wednesday March 27.


week March 18-22 Spring Break


week 9 Fourier Series 


week 10 Fourier Series HW7 page 530 problems 13, page 559 problem 1,2,7. HW7 is due on Tuesday April 9.


week 11 Fourier Series HW8 page 559-560 problems 4, 5 10, 11, 12.  HW8 is due on Wednesday April 17.


week 12 The Lebesgue Integral HW9 page 559-560 problems 3, 6, 8, 13. HW9 is due on Wednesday April 24.


week 13 The Lebesgue Integral (Last day of classes April 26)


Reading days: April 29- May 3


Exam days: May 6-May 14




Special Aid:

Students with disabilities who may need special arrangements within this course must register with the SDS office and submit request through the SDS office. 


JHU Ethics Statement:


The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Cheating is wrong. Cheating hurts our community by undermining academic integrity, creating mistrust, and fostering unfair competition. The university will punish cheaters with failure on an assignment, failure in a course, permanent transcript notation, suspension, and/or expulsion. Offenses may be reported to medical, law, or other professional or graduate schools when a cheater applies.


Violations can include cheating on exams, plagiarism, reuse of assignments without permission, improper use of the internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition. Ignorance of these rules is not an excuse.


In this course, as in many math courses, working in groups to study particular problems and discuss theory is strongly encouraged. Your ability to talk mathematics is of particular importance to your general understanding of mathematics. You should collaborate with other students in this course on the general construction of homework assignment problems. However, you must write up the solutions to these homework problems individually and separately. If there is any question as to what this statement means, please ask the instructor.