MATH 364 / MATH 626, Fall 2018
section A

Instructor: Dr. Pawel  Gora,
LB-901-17, tel.: 848-2424, ext. 3257
e-mail: pawel.gora@concordia.ca


Office hours:   TBA
                         or by appointment.


Book : Notes on Real Analysis by L. Larson.
    Available online: http://www.math.louisville.edu/~lee/RealAnalysis/IntroRealAnal.pdf
 

                                      Auxiliary text book which will be available on Moodle:
Introductoy Real Analysis by Frank Dangello and Michael Seyfried, published by Brooks/Cole.


Class Test:    There will be a class test scheduled in the 7th or 8th week of classes.
 
Assignments: Given weekly on the webpage  http://www.mathstat.concordia.ca/faculty/pgora/m364/ . Solutions to be submitted the following week in class.  No late assignments will be accepted.  You should provide complete arguments in your homework.  Solutions to assigned problems will be posted on the same webpage. Some problems may not be marked.
Other course related materials will also be posted there.

The final9 grade will be either a 90% final exam mark+ 10% assignments or
                                                    a combination: 60% final exam + 30%  test + 10% assignments, whichever is higher.

Assignments make an important part of a course, as it is generally believed that the only way to learn mathematics is to work independently on problems.
 Solutions will be posted in pdf format on Moodle and  at http://www.mathstat.concordia.ca/faculty/pgora/m364/

Midterm Test:          There will be a midterm test scheduled in the 7th or 8th week of classes.  The exact date of the exam will be announced in class at least a week in advance. There will be no make-up midterm exam.

Topics: 

Week
Chapter
Topics
1-3
1-2
 Elements of Proofs and Set Theory. Set of Real Numbers
4-6
3
 Sequences
7-9
6
 Limits of Functions and Continuity
10-11
7
 Derivatives
12 5 Elements of Topology
13

Review

Numbers in different notations



Assignments:  #1 , #2 ,  #3 ,    #4 , #5 , #6 , #7 , #8 , #9 , #10 , # 11 
 Solutions:       #1 , #2 ,  #3  ,  #4  ,  #5 , #6 , #7 , #8 , #9 ,  # 10 ,  #11

Example for Problems 4,5 in the assignment 1.

Old midterms to exercise. The unnecessary problems have been removed. Some solutions.

Last semester final

To get extra 5% for Your grade You have to:
Learn the proof of Schroder-Bernstein theorem.
Present the proof to me without any notes or help.
Answer my questions to convince me that You
understand the prove.
If I am convinced You get 5%.
Deadline is one day before the final.
(Does not mean that I will be available.)


MASSA has created a survey to receive feedback
about their Lunch & Learn series:
Lunch & Learn Feedback

SIAM has a web page on careers open for  math graduates:
https://www.maa.org/programs/faculty-and-departments/pic-math/solving-real-world-problems


Old midterms to exercise. Some solutions.

Here are some old finals, some solutions are here.
Notes:    Proof of the "limsup" theorem. Only for brave hearted.
  Continuity and Uniform Continuity notes. (updated Nov 15, 2015)
Short notes for few first classes , unfinished and incomplete but perhaps useful.
Notes on different  topics (courtesy of Dr Bertola):
Subsequential Limits , Density of sequence sin(n) , Cardinality

Some interesting limits.

Results of assignments  and  tests
(please report any errors to pawel.gora@concordia.ca)

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