de Smit & Lenstra’s ‘completion’ (2003) of MC Escher’s Print Gallery (1956). Music by Bernard Herrmann (1958).

Honors Analysis I, Fall 2014 (110.415)

Instructor:Carl McTague
Lectures:Mon & Weds 1:30–2:45pm in Krieger 308
Office Hours:Tues 3–5pm in Krieger 212
Recitation:Fri 1:30–2:20pm in Krieger 308
TA:Jon Beardsley (Mon 3–4pm in Krieger 411)
Text:NL Carothers, Real Analysis, 1st Ed., Cambridge University Press, August 2000 (Amazon).

Announcements

2 DecBinomial coefficients as gateway to villainy? Truth & fiction.
23 OctSecond midterm Weds 12 Nov covering Ch. 5–8. Week 10 homework collected Weds 19 Nov.
22 OctOffice hours now Tues 3–5pm.
5 OctFirst midterm Weds 8 Oct so homework for Weeks 5 & 6 collected Thurs 16 Oct.
21 SeptHomework collected Wednesdays from now on.
3 SeptHomework for Weeks 1 & 2 collected Mon 15 Sept.
27 AugFirst lecture Weds 3 Sept.

Homework

WeekBeginningReadingWritten Assignment
1Sept 3Ch. 1Ch. 1: 3, 8, 14, 18a, 26, 34, 45, 46.
2Sept 8Ch. 2Ch. 1: 10, 30, 42.
Ch. 2: 5, 6, 15.
3Sept 15Ch. 3Ch. 2: 17, 22, 28, 34 parts (i) & (ii).
Ch. 3: 1, 2, 17, 18, 34, 36.
4Sept 22Ch. 4Ch. 3: 40, 44.
Ch. 4: 1, 5, 12, 21, 26, 27.
5Sept 29Ch. 5Ch. 5: 1.i, 1.v, 25, 37, 40, 48, 58, 62.
6Oct 6Ch. 6Ch. 6: 5, 6, 9, 12, 13, 26.
7Oct 13Ch. 7Ch. 7: 5, 8, 18, 19, 21, 29, 31, 41, 43, 46.
8Oct 20Ch. 8Ch. 8: 15, 20, 23, 29, 36, 48, 53, 66.
9Oct 27Ch. 9Ch. 8: 76, 78.
Ch. 9: 1, 5, 9, 11, 12.
10Nov 4Ch. 10Ch. 10: 8, 9b, 15, 18, 19.
11Nov 17Ch. 11Ch. 10: 23, 26, 27, 31.
Ch. 11: 1, 9, 12, 16.
Unless otherwise noted, homework is due in lecture on Wednesday of the following week.

Syllabus

We will cover Chapters 1–11 of the text, with some additions & omissions. Key topics will include:

calculus review, countable & uncountable sets, metrics & norms, open & closed sets, continuity, connectedness, completeness, compactness, Baire category theorem, sequences of functions, the space of continuous functions.

Grading: Homework 30% — Midterm Exams 30% — Final Exam 40% .

Homework: Assignments will be posted above. Late homework will not be accepted except in extraordinary circumstances, agreed to in writing with the instructor in advance. You are encouraged to discuss homework problems with one another. However, each of you must write up your solutions independently, in your own words, without supervision or well-meaning influence from anyone else.

Midterm Exams will be in class on Weds 8 Oct and Weds 12 Nov.

The Final Exam will be 9am–12pm Thurs 18 Dec in Krieger 308. Further particulars nearer the time.

Absence: You are expected to attend class and take exams as scheduled. Unexcused absence from a midterm exam carries a penalty of one full letter grade reduction from your final course grade. If you miss the final exam without a valid & well-documented explanation then you will automatically fail the course.

Medical Contingencies: Missed midterm exams cannot be made up; the remaining homework and final exam will be given correspondingly more weight to take up the slack. In order to do this, I must receive written confirmation of the severity of your illness, and preferably a letter from the Dean’s office requesting special consideration.

Disability: Any student with a disability who may need accommodations in this class must obtain an accommodation letter from Student Disability Services, 385 Garland, (410) 516-4720, studentdisabilityservices@jhu.edu.

Ethics: Don’t get it WRONG, like Kant! Seriously though, cheating & other forms of academic dishonesty are corrosive & harmful to our university:

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 student affairs and/or the chairman of the Ethics Board beforehand. See the guide on “Academic Ethics for Undergraduates” and the Ethics Board Web site for more information.


Copyright © 2014 by Carl McTague