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Stony Brook University
MAT 319 -- Foundations of Analysis -- Spring 2015

This course meets together with MAT 320 through week 5 (February 16). All students should initially register in MAT 319!

* Index
* Course Description
* Teaching Staff, Office Hours
* Syllabus and Homework

Schedule, Syllabus and Homework for Spring 2015

Sections and Exercises from Kenneth Ross, Elementary Analysis: The Theory of Calculus, 2nd Ed.

 
Week of Sections Homework Notes
Jan 26 Tu: Lecture cancelled due to snow.
Th: 1, 2. 		No homework due 2/4.
Feb 2 Tu: 3, 4.
Th: 5. 		Due 2/11: 1.1, 1.4, 1.10, 1.12, 2.2, 2.5, 3.1, 3.4, 3.6;
Parts (e), (g), (h), (i), (m) and (r) of 4.1, 4.2, 4.3, and 4.4;
4.8, 4.12.
Feb 9 Tu: 7.
Th: 8. 		Due 2/18: 5.2, 5.6, 7.3, 7.4,
8.1 (a) and (c), 8.3, 8.6, 8.8, 8.10.
Feb 15 Tu: 9.
Th: 10. 		No homework due 2/25. Please prepare for the midterm.
Feb 23 Midterm 1
Tuesday 2/24.
Th: 11. 		Due 3/4: 9.1, 9.3, 9.5, 9.12, 9.14,
10.1, 10.2, 10.5, 10.8, 10.9.
Practice exam here.
Mar 2 Tu: 10 cont.
Th: 11 cont.
 		Due 3/11: 10.3, 10.6, 10.10, 10.11, 10.12
11.1, 11.7
(Assume you know that a Cauchy sequence converges). 		From this week forward, MAT 319 and MAT 320 meet separately.
This is the schedule for MAT 319 only.
See Example of Cauchy Sequence.
Mar 9 Tu: Notes on convergence
Th: 14. Notes on series and Ratio Test 		Due 3/25: 14.1, 14.2, 14.6, 14.8, 14.11, 14.13, 14.14
Mar 23 Tu: 15.
Th: 16. 		Due 2/4: 15.1, 15.2, 15.3, 15.6, 15.7
16.1, 16.2, 16.4, 16.5, 16.7
Mar 30 Tu: 17.
Th: 18. 		No homework due 2/25. Please prepare for the midterm. Midterm 2 review
Apr 6 Tu: Review.
Midterm 2
Thursday 4/9.
 		Due 4/15: 17.1, 17.2, 17.3, 17.5, 17.6, 17.10ab, 17.12a Midterm covers through section 16.
Apr 13 Tu: 18.
Th: 18. 		Due 4/22: 18.2, 18.4, 18.5, 18.6, 18.7, 18.9, and 18.11
Apr 20 Tu: 23*, 24
Th: 25 		Due 4/29: 23.1, 23.6, 23.7, 23.8, 24.2, 24.7, 24.8, 24.17 25.5, 25.11 *See Notes on Power Series.
Apr 27 Tu: 25
Th: 26*
Due 5/6: 25.7, 25.13, 25.14, 26.2a, 26.3a, 26.4, 26.6, 26.7 *See Notes on Power Series.
May 4 Tu: Review
Th: Review 		Final review