Wednesday, June 13, 2012, 11:30 a.m.-2.30 p.m. MS5138 (usual class room).

Coverage:  All sections we covered in the class (see syllabus posted in the class homepage)

Go over again homework questions, the text materials and the two midterm exam answer keys. There is a review lecture on the last day of teaching (June 8th), 70% of the problems are similar to those in the homework and the material in the text and the two midterm exams.

Point of emphasis:

• Chinese remainder theorem;
• Homomorphisms, Isomorphisms;
• Factoring polynomials, GCD of polynomials; and GCD of integers;
• Congruence classes of numbers and polynomials
• Order of congeuence classes

Structure of the exam:

• 4 computational questions concerning integers and polynomials (total 120 points);
• True-False style questions (200 points total);
• Yes-No style questions (100 points);
for example,
Is the following function a ring homomorphism? f:Z/2Z[x]->Z sending 1 to 1. Answer: "No" because it sends 2=0 to 2 (not a homomorphism of rings).  A brief explanation about your answer is required.

• One problem requiring a proof (80 points).

Review Session:

One class meeting will be reserved for review (the last lecture on Friday June 8th). Model answer keys for suggested exercises and homework questions in the coverage are available. The answer keys should be useful for you to prepare for the exam.

Extra Office Hours:

Wednesday June 13 from 10:00 am to 11:20 am (instead, regular office hour on June 8 is canceled).

Remarks on grading

The full mark is 500 points (50% of the final grade). The scores of two midterm exams (each 200 points), the final exam (500 points) and the total of your homework scores (100 points) being added, the full mark of the final grade is 1000.

Texts, Notes and Calculators:

Students are not allowed to open text book and notes from the lectures while taking the exam.
No 3x5 cards are allowed. Students are encouraged to bring a calculator to avoid compuational mistakes. A simple calculator is enough.

NO MAKE-UP EXAMS UNDER WHATEVER CIRCUMSTANCES 
because the exam day was announced at the very beginning of the class.