mat312 - syllS12

### MAT 312/AMS 351 Applied Algebra Spring 2012

Index
Course Description
Syllabus and Homework

## Syllabus, Schedule, Homework

Be aware that some important dates appear on the university's Spring 2012 academic calendar.

Page references are to Humphreys/Prest Numbers, Groups & Codes, 2nd Edition.

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 Dates Sections covered Homework Jan 23 & Jan 27 1.1 1, 2, 3, 4, 5, 6, 7 Jan 30 & Feb 3 1.2 1.3 3, 7, 8, 10 2, 6, 7, 8 Feb 6 & Feb 10 1.4 1.5 2, 3, 5, 6, 71, 2, 4 Feb 13 & Feb 17 1.6 1, 2, 3, 5, 7, 12, 13 (due 2/27) Feb 20 & Feb 24 Review Midterm I (2/24) Review sheet for Midterm 1Solutions to Midterm 1 Feb 27 & Mar 2 4.1 4.3 1, 2, 3, 4 p. 1581, 2, 3, 4 p. 183 Mar 5 & Mar 9 4.1 4.2 5, 6 1, 2, 3, 4, 5, 7 Mar 12 & Mar 16 4.3 5.1 5, 6, 7, 8, 9 and show that G = GL(2, Z 2) is isomorphic to S(3), the permutation group on 3 elements. Hint: let G act on the column vectors (0,1), (1,0), (1,1) by matrix-vector multiplication. 3, 8, 9, 10 Mar 19 & Mar 23 5.25.3 1, 2, 3, 5 1, 3, 4, 7 Mar 26 & Mar 30 5.4 Notes on binary codes Exercises 1, 2, 3, in Notes, due April 16. Apr 9 and Apr 13 Review Midterm II (4/13) Review sheet for Midterm II covers 1.6, 4.1-4.3, 5.1-5.3 Solutions to Midterm II Apr 16 & Apr 20 6.16.26.3 1, 2, 3 1, 2, 3 2, 3, 5 Apr 23 & Apr 27 6.4 6.5 1, 2, 3 1 Apr 30 & May 4 6.5 Review Final Examination: Tuesday, May 15, 2:15-4:45 PM in Javits 105. Review for Final