Math 115 - Functions of a Real Variable
Fall 2009

MWF 10:00-10:50, Room 381T


Course instructor:









 

Yitzhak Katznelson

Room 382-U
Office hours (By appointment)
email: katznel@math
        



Course assistant:










Maksym Radziwill

Room 381G
Office hours:
Mon, 14:15-16:15, Tue, Thu, 9-11.
and by appointment
email:maksym@stanford.edu



        


Weekly Homework Assignments

Unless specified otherwise, the exercises are from the textbook for the course:
Elementary Analysis: The Theory of Calculus

by

Kenneth A. Ross

The exercises listed in the weekly assignments are the ones to be submitted. However, you should read the corresponding sections in the book and make sure you understand the material and can do the other exercises in the sets from which the assignment was selected.

If you have difficulties with any of that, you should ask in class, the CA, or me.

Also: CTL offers free tutoring for undergraduates in Math115. Students can visit drop-in tutoring sessions with a Resident Tutor, or make an individual appointment with a tutor. Our tutors are undergraduates at Stanford who have taken Math115 previously. They primarily mentor students in the problem solving process and with course-specific study skills.

To find tutoring availability: http://sututor.stanford.edu

Questions about tutoring: http://tutoring.stanford.edu

or: tutoringhelp@stanford.edu

       

Midterm and Final Exams

There will be a Midterm exam and a Final, both takehome. The first paragraph of each will be:

`` Answer all the problems. You may consult books, friends and relations until you feel ready to write the exam. Once you start writing , and until you finish, it is an honor code ``closed book, no notes and no communications'' exam.


The midterm and the final will be posted at least a week before the due date. This should give you time to review the relevant material and to answer the questions without time pressure. The due date for the midterm will be October 28, (replacing HW#5).

Remarks about proofs .

Homework Assignments

#1 -- due September 30:

1.1, 1.3, 1.4, 1.6, 1.8, 1.11, 1.12, -- 2.3, 2.5.

the problems.

Solutions.

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#2 -- due October 7 :

3.5, 3.6, 3.8, -- 4.6, 4.7, 4.8, 4.9, 4.13, 4.14.

Solutions

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#3 -- due October 14 :

7.4, 7.5, -- 8.3, 8.4, 8.5, 8.8, 8.10, --9.1, 9.3, 9.4.

Solutions

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Syllabus October 12---30

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Sample of midterm problems.

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#4 -- due October 21 :

9.6, 9.11, 9.12, 9.15, 9.18,--10.1, 10.6, 10.7, 10.11, 10.12,--11.5.

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The midterm.

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Some notes

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#6 -- due November 4 :

19.7,

21.1, 21.2, 21.3, 21.4, 21.5, 21.6,

21.8, 21.9.

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Syllabus November

Notes November 2-6

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#7 -- due November 11 :

22.5, 22.6 (a), 22.11

23.5, 23.6,

28.1, 28.2, 28.3.

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#8 -- due November 18 :

32.2, 32.8,

33.8, 33.9, 33.11, 33.13.

34.10, 34.12

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Review problems

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#9 -- due December 2 :

29.4, 29.9, 29.11

31.1, 31.5

32.7

and problem 14 from the Review problems above.

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