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Course Description. Coming up.
Broadly speaking, we will cover the topics listed here. However, to keep track of the precise syllabus, see the calendar at the bottom of this page. It will be updated on a weekly basis.
Instructor. Purvi Gupta Office. L25 (Math) Email. purvigupta 
TAs

Lecture timings. MW Noon  12:50 pm, Th. 99:50 am. Lecture room. G21, Old Physics Building  
Tutorials  Fridays, 12  12:50 pm  

Section  Location  Instructor 
A  G01, OPB  Rumpa 
B  G21, OPB  Biltu 
by  in  during  for 

Purvi  L25 (Math)  W 56 pm  the entire class 
by  in  during  for 

Rumpa  L26 (Math)  Tu 67 pm  Section A 
Biltu  R28 (Math)  Tu 56 pm  Section B 
Lec.#  Date  Topics  Assignments, etc.  

Week 1  
1.  01/01  From natural numbers to integers  
2.  02/01  From integers to rational numbers  
3.  03/01  Gaps in Q; complete ordered fields  HW 1 posted  
04/01  NO CLASS  
05/01  No tutorial this week  
Week 2  
08/01  NO CLASS  
4.  10/01  R via Dedekind cuts  
5.  11/01  R via Cauchy sequences  HW 2 posted  
12/01  Tutorial 1 + Quiz 1  
Week 3  
6.  15/01  The l.u.b. property of R  
7.  17/01  Complex numbers; metric spaces: definitions, examples  
8.  18/01  Open & closed sets I  
19/01  Tutorial 2 + Quiz 2  
Week 4  
9.  22/01  Open and closed sets II  HW 3 to be posted  
10.  24/01  Compact sets  
11.  25/01  Compact sets in Euclidean spaces  
26/01  No tutorial this week  
Week 5  
12.  29/01  Connectedness  
13.  31/01  The Cantor set  
14.  01/02  Sequences in metric spaces  HW 4 to be posted  
02/02  Tutorial 3+ Quiz 3  
Week 6  
15.  05/02  Subsequences and Cauchy sequences  
16.  07/02  Completeness of metric spaces  
17.  08/02  The extended real line, lim inf & lim sup  HW 5 to be posted  
09/02  Tutorial 4+ Quiz 4  
Week 7  
18.  12/02  lim inf & lim sup contd.  
14/02  Class cancelled  
15/02  Recap  
16/02  No tutorial this week.  
Week 8  
Midterm Week  
Week 9  
19.  26/02  Series, definition, examples & properties  
20.  28/02  Cauchy condensation test, defining the constant e, power series  
21.  29/02  Combining series (addition, termwise product, product)  
01/03  Quiz 5  
Week 10  
22.  04/03  Rearrangements, functional limits  HW 6 to be posted  
23.  06/03  Continuity  
24.  07/03  Discontinuities  
08/03  No tutorial this week 