THE UNIVERSITY OF WESTERN ONTARIO
LONDON CANADA
DEPARTMENT OF MATHEMATICS
Mathematics 2122a
Real Analysis I
September 2011 to December 2011
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Important announcement
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FINAL EXAM
Friday, December 16, 2011
2:00 p.m. - 5:00 p.m.
UCC 37
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Sections covered are 1 to 8, 10 to 14, and 16 to 19.
Last Year Midterm Exam
Last Year Final Exam
ASSIGNMENT PICK-UP: MC 122 until 1:30 p.m. today (Dec 16) 
Suggested exercises - Sections 16 to 19
- Section 16
- Exercise 16.6 b) and d)
- Exercise 16.7 c), d) and e)
- Exercise 16.8 b) and c)
- Exercise 16.9 a), b) and c)
- Exercise 16.11
- Exercise 16.12
- Exercise 16.15
- Exercise 16.16
- Section 17
- Exercise 17.4
- Exercise 17.5 b), d), h) and j)
- Exercise 17.6
- Exercise 17.8
- Exercise 17.9
- Exercise 17.14
- Exercise 17.16
- Section 18
- Exercise 18.2
- Exercise 18.5
- Exercise 18.7
- Exercise 18.8
- Exercise 18.10
- Exercise 18.14
- Exercise 18.15
- Section 19
- Exercise 19.1 a), b) d) and e)
- Exercise 19.2 a)
- Exercise 19.5 b) and e)
- Exercise 19.7 a) and b)
- Exercise 19.19
Assignment #10 (due Dec 1, in class)
Assignment #9 (corrected) (due Nov 24, in class)
(In Question 2c, "intersections" have replaced "unions")
Assignment #8 (due Nov 17, in class)
Assignment #7 (due Nov 10, in class)
Assignment #6 (due Nov 3, in class)
Assignment #5 (due Oct 27, in class)
Assignment #4 (due Oct 13, in class)
Assignment #3 (due Oct 6, in class)
(Please note: Question 3 should read "Prove or give a counterexample")
Assignment #2 (due Sept 29, in class)
Assignment #1 (due Sept 22, in class)
Logic Handout
Answers to Logic Exercises
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Instructors:
Section 001 (TuTh 9:30 a.m.)
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André Boivin
Phone: 661-2111 x86512
Office: MC 118
E-mail: boivin@uwo.ca
Section 002 (TuTh 12:30 p.m.)
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Janusz Adamus
Phone: 661-2111 x86525
Office: MC 122
E-mail: jadamus@uwo.ca
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Help Centre
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Mondays
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3:00 p.m. -- 4:00 p.m.
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MC 108
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*CANCELLED*
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Wednesdays
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1:00 p.m. -- 2:00 p.m.
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MC 107
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*CANCELLED*
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Prerequisite:
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Calculus 1501a/b or Applied Mathematics 1413, with a minimum mark
of 60%, or Calculus 1301a/b with a minimum mark of 85%.
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Textbook:
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Steven R. Lay, ANALYSIS with an Introduction to Proof, Fourth Edition,
published by Pearson.
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Course Outline:
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This course is intended primarily for honours students and provides a
rigorous introduction to the analysis of real-valued functions of a real
variable.
Topics will include:
Logic, sets, cardinality and Cantor’s Theorem.
The real numbers - axioms and properties, elementary topology.
Sequences - limit and convergence.
Continuous and differentiable functions (if time permits).
The distinguished feature of this course is its emphasis on theory and
proof.
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From the Preface of the textbook:
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"A student's first encounter with analysis has been
widely regarded as the most difficult course in the
undergraduate curriculum.
This is due not so much to the complexity of the topics
as to what the student is asked to do with them.
After years of emphasizing computation
(with only a brief diversion in high school geometry),
the student is now expected to be able to read, understand,
and actually construct mathematical proofs.
Unfortunately, often very little groundwork has been laid
to explain the nature and techniques of proof.
This text seeks to aid the student in their transition
to abstract mathematics in two ways: by providing an introductory
discussion of logic, and by giving attention throughout the text
to the structure and nature of the arguments being used."
--- Steven R. Lay ---
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Evaluation of Student Performance:
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30% Assignments: "weekly"
30% Midterm Examination: Friday October 21 7:00 p.m. (2.5 hours)
40% Final Examination: Friday December 16 2:00 p.m. (3 hours)