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Download MTTS Expository Articles

The articles are prepared by Prof. S Kumaresan, the MTTS Programme Director and usually gets distributed to the MTTS/ Mini MTTS/ PTMT participants.

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Sl No Title Description Targeted Audience MTTS Level Downloads
11 An Outline of Real Analysis An outline of real analysis ; one of the trio (2008, 2010, 2012). Our book ?A Basic course in Real Analysis? is based on these.
701 downloads so far.
Last downloaded on: 19-12-2018 04:15 PM
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12 Limit Inferior and Limit Superior A thorough treatment of limsup and liminf. This topic is a source of concern for many students.
B.Sc 1,2 676 downloads so far.
Last downloaded on: 16-12-2018 07:20 PM
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13 Exercises on Inverse images Has a good set of exercises which are meaningful in mathematics to make the studenst deal with the concept confidently. This is a problem area all over.
O O 662 downloads so far.
Last downloaded on: 19-12-2018 04:37 PM
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14 Cardinality and Countability A quick review of cardinality, countability and uncountability via problems. Readers are asked to refer to Munkres for details. Hints are given to some where our proofs are different from those in Munkres. Some explicit bijections are given so as to train a student in the art of setting up such functions.
1st/2nd year B.Sc O,1 661 downloads so far.
Last downloaded on: 18-12-2018 03:24 PM
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15 Outline of a Topology Course Outline of a topology course given at University of Mumbai (very brief outline)
M.Sc. 2 649 downloads so far.
Last downloaded on: 18-12-2018 03:59 PM
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16 Summary of Differential Geometry (January-April 2008) A summary of the course on differential geometry of curves and surface as it unfolded. More was covered and we used other articles on these themes.
Senior undergraduates, M.Sc 596 downloads so far.
Last downloaded on: 19-12-2018 04:37 PM
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17 Group Actions Gives the definition, some interesting examples and exercises. Good way to master group actions, as students learn only the left/right and conjugacy actions in a typical algebra course.
B.Sc./M.Sc 1,2 543 downloads so far.
Last downloaded on: 15-12-2018 07:04 PM
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18 Summary of Real Analysis 2 Semester 2 (2009-10) Calculus of several variables up to Taylor's theorem and maxima-minima
Final year B.Sc, M.Sc 1,2 528 downloads so far.
Last downloaded on: 18-12-2018 06:42 AM
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19 A Diagnostic Quiz in Complex Analysis A diagnostic quiz in complex analysis.
M.Sc. 2 523 downloads so far.
Last downloaded on: 15-12-2018 07:05 PM
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20 Simple and Direct Proofs of Some Results in the Theory of Compact Spaces Simple and direct proofs of some results in the theory of compact spaces.
Final year B.Sc, M.Sc 1,2 518 downloads so far.
Last downloaded on: 18-12-2018 03:31 PM
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