MAT 312/AMS351: Applied Algebra
Fall 2015

## Schedule and homework assignments for MAT 312/AMS351

Homeworks for very week should be handed to the recitation instructor during the recitation next week (e.g., homework for week 1 shoudl be handed during recitation in week 2, etc.). It will be graded and returned to you the following week.

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 Dates Sections covered Homework Aug 25 & Aug 27 Sect. 1.1 HW 1 Exercises 1.1, № 1, 2, 3, 4 ,5, 6, 7 Sep 1 & Sep. 3 Sect. 1.2, 1.3 HW 2 Exercises 1.2, № 1, 2, 3, 6, 9, 12 Exercises 1.3, № 1, 2, 7, 8, 9 Sep 10 Sect. 1.4 HW 3 Exercises 1.4, № 2, 3, 5, 6, 7 and Extra problem: Let A,B,C be integers such that A3+B3+C3 is a multiple of 7. Prove that the product ABC is a multiple of 7. Sep 15 & Sep 17 Sect. 1.5, 1.6 HW 4 Exercises 1.5, № 1 (i)-(iii), 2*, 3, 5. Exercises 1.6, № 1*, 2, 3*, 5*, 7, 8*, 12. Problems marked with * will not be graded. Sep 22 & Sep 24 Sect. 4.1, 4.3 HW 5 Exercises 4.1, № 1, 2, 3, 4. Exercises 4.3, № 1, 2. Sep 29 & Oct 1 Review and Midterm 1 Review sheet for Midterm 1 Oct 6 & Oct 8 Sect. 4.3, 4.2 HW 6 Exercises 4.3, № 3, 4, 7*, 8, 9*. Exercises 4.2, № 1, 4, 6*, 7, 9*, 11*. Problems marked with * will not be graded. Oct 13 & Oct 15 Sect. 5.1 HW 7 Exercises 5.1, № 1, 2, 5, 7, 8*, 9. Problems marked with * will not be graded. Oct 20 & Oct 22 Sect. 5.2, 5.3 HW 8 Exercises 5.2, № 1, 2, 3, 5. Oct 27 & Oct 29 Sect. 5.4 Supplement to Sect. 5.4 HW 9 Exercises 5.3, № 1*, 3*, 4, 5, 8. Exercises 5.4, № 1, 2, 5*, 6. Problems marked with * will not be graded. Nov 3 & Nov 5 Sect. 6.1, 6.2, 6.3 No homework Nov 10 & Nov 12 Review and Midterm 2 Review sheet for Midterm 2 Nov 17 & Nov 19 Sect. 6.2, 6.3 HW 10 Exercises 6.1., № 1*, 2*, 3*. Exercises 6.2, № 1, 2 (i)-(iii), 3. Exercises 6.3, № 3, 4, 6. Problems marked with * will not be graded. Nov 24 Sect. 6.3, 6.4 HW 11 Exercises 6.4, № 1*, 2, 3 Problems marked with * will not be graded. Nov 25 - Nov 29 Thanksgiving Break Dec 1 & Dec 3 Sect. 6.5, Review Review sheet for Final Exam To be used with review sheets for Midterms 1 ans 2 Wednesday, Dec 9 Final exam 5:30pm-8:00pm