Welcome to Khodr Shamseddine’s Math 435 web page


Syllabus

Homework

Exams

Grades


Announcements

·        Office Hours (Finals’ Week): Monday, Tuesday: 2-5 PM.

·        The Final Exam will be on Wednesday, 5/05/04 at 1:00-2:50 PM in MG 206; and it will cover Chapters 1-4.

50 points (out of 220) will be based on (parts of or complete) proofs of 2 from the following list of results in the book: Lemma 4.12 and Theorems 4.15, 4.24, 4.27, 4.30.

120 points will be based on the homework sets 4-10 (for this part, you need a good understanding of the homework solutions which implicitly entails a good understanding of the material covered in Chapters 1-4, including definitions, remarks, examples, lemmas, theorems, corollaries, etc…) If you don’t have the solutions for any of the seven homework sets (4-10), let me know. This part will consist of six problems.

50 points will be based on identifying from a list 15 statements those which are true and those which are false, and correcting the ones that are false.

·        Homework set 10 due Monday, 4/26/04: See Homework page (Exercises assigned on 4/19/04 and 4/21/04).

·        Homework set 9 due Monday, 4/19/04: See Homework page (Exercises assigned on 4/9/04 and 4/14/04).

·        Exam 2 will be on Monday, 4/12/04; and it will cover Sections 3.1-4.2.

40 points (out of 110) will be based on the homework sets 5-8 (for this part, you need a good understanding of the homework solutions which implicitly entails a good understanding of the material in the sections covered on the exam, including definitions, remarks, examples, lemmas, theorems, corollaries, etc…) If you don’t have the solutions for any of the four homework sets (5-8), let me know. This part will consist of two problems.

40 points will be based on (parts of or complete) proofs of 2 from the following list of theorems and lemmas in the book: 3.26, 3.28, 3.29, 3.38, 3.39, 4.4, 4.11.

30 points will be based on identifying from a list 10 statements those which are true and those which are false, and correcting the ones that are false (same format as the extra credit problems on the first exam.)

·        Homework set 8 due Monday, 4/05/04: See Homework page (Exercises assigned on 3/29/04 and 3/31/04).

·        Homework set 7 due Monday, 3/29/04: See Homework page (Exercises assigned on 3/22/04 and 3/24/04).

·        Homework set 6 due Monday, 3/22/04: See Homework page (Exercises assigned on 3/15/04 and 3/17/04).

·        Homework set 5 due Monday, 3/15/04: See Homework page (Exercises assigned on 2/23/04 and 3/05/04).

·        Exam 1 will be on Monday, 3/01/04; and it will cover Sections 1.1-2.4.

50% of the exam will be based on the homework sets (for this part, you need a good understanding of the homework solutions which implicitly entails a good understanding of the material in the first two chapters including definitions, remarks, examples, lemmas, theorems, corollaries, etc…) If you don’t have the solutions for any of the four homework sets, let me know on Monday.

50% will be proofs of 2 or 3 theorems from the following list in the book: 1.9, 1.11, 1.20, 1.22, 1.24, 1.28, 1.29, 2.6, 2.8, 2.9, 2.11, 2.12, 2.17, 2.19, 2.23, 2.26 and 2.29.

·        Homework set 4 due Friday 2/20/04: Exercises # 1 (a, c), 2 (c, d), 3 (G), 4 (U), 5 (Extra Credit Problem) on pp. 42-43 (Sec 2.2) and Exercises # 1, 2, 4 (U), 8 (G) on page 47 (Sec 2.3).

·        Homework set 3 due Wednesday 2/11/04: Exercises # 3, 5, 6, 7, 10 on pp. 23-24 (Sec 1.3) and Exercises # 1-8 on page 37 (Sec 2.1).

·        Homework set 2 due Friday, 1/30/04: Exercises # 1, 2, 7, 9 on page 17 (Sec 1.2), the exercise from the lecture (namely, to show that Z is closed under addition and multiplication- An extra credit problem), and Exercises # 1, 4 on page 23 (Sec 1.3)

·        Monday, January 19th: Dr. Martin Luther King, Jr., Day; classes cancelled.


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This page is maintained by K. Shamseddine and will be updated regularly.