Final Exam Information for ECE 103 (Spring 2009)

Review session

There will be a review session on Friday, August 7, from 1:00–3:00 pm in RCH 302. Bring questions!

Exam coordinates

The final exam will be held on Saturday, August 8, from 9:00 am–11:30 am. There are three rooms for the exam. Please go to the appropriate room based on your tutorial section as follows:

Tutorial	Exam room
TUT 101	RCH 103
TUT 102	RCH 105
TUT 103	RCH 110

Tutorial

Exam room

TUT 101

RCH 103

TUT 102

RCH 105

TUT 103

RCH 110

Allowed materials

You may use a non-programmable, non-graphing calculator on the exam. You may not use the course text, your course notes, or any other written materials.

Please bring your WatCard to the exam for identification.

Content

The exam will cover all of the material presented in class this term, with slightly more emphasis on the material not already covered by the midterm exam. The relevant sections of the text are listed on the lecture schedule.

You are expected to be familiar with every definition and result presented in class. In particular, you will be asked to prove a least one of the following:

Theorem 2.3.6
Theorem 3.1.8
Proposition 3.3.4
Theorem 5.2.1
Theorem 6.1.4
Theorem 9.3.2
Theorem 10.2.4

Try to understand the ideas of the proofs rather than memorizing them symbol-by-symbol, as the result may be stated using different notation or wording than you have seen before.

When giving a proof, remember to define any new variables you introduce and to justify every step aside from simple algebra. To refer to results from class or the text, you are encouraged to give a description of the result rather than referring to a specific number. For example, to invoke Proposition 2.1.2(i), you could write “by the proposition saying that if a|b and b|c, then a|c, ...”. For major results with common names (such as the Good Characterization Theorem and the Extended Euclidean Algorithm), it is fine to refer to the result by name.

Sample questions

While it is of course a good idea to review the text and your notes, your best preparation for the exam is to do as many practice problems as you can. (For more detailed advice on exam preparation, see the MathSoc page.)

Here are last year's midterm (with solutions) and last year's final exam (with solutions). All of the questions are on material that will be covered on this year's final exam.

You can find other recent past exams at the MathSoc Exam Bank. Be aware that the course content changes from year to year, so not all questions will be relevant to this year's final exam. Some relevant questions are as follows:

Spring 2007 midterm: All questions except 2(d), 6(a), 6(b), 7
Spring 2007 quiz 1: All questions
Spring 2007 quiz 2: 1(a), 1(c), 3
Spring 2006 midterm: All questions
Winter 2005 final: All questions except 6, 8, 9
Spring 2004 midterm: All questions except 5(a), 5(b), 5(e), 9
Winter 2004 midterm: All questions
Winter 2004 final: All questions except 6, 7, 8, 12(b)
Fall 2003 midterm: All questions
Fall 2002 final: All questions except 5, 6, 7, 8, 13
Winter 2001 final: All questions except 5, 7
Spring 2000 final: All questions except 4, 6(b), 6(c), 7, 9(b), 10

Additional past exams may be available at the EngSoc Exam Bank. Again, be aware that these exams might not be representative of the material we have covered this year.

Another source of practice problems is the course text. Problems on material that will be covered by the midterm exam include the following:

Chapter 1: 1, 2, 3, 4, 6, 10, 16, 19, 24, 25, 26
Chapter 2: 1, 2, 3, 4, 5, 6, 7, 12, 13, 16, 19, 20, 21, 22, 23, 24, 26, 29, 30, 31, 47
Chapter 3: 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 15
Chapter 4: 6, 7
Chapter 5: 3, 6
Chapter 6: 1, 3, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 18, 22, 23, 24, 25, 28, 29
Section 9.1: 2, 4, 5, 6, 7, 8, 9, 10
Section 9.3: 1, 4, 5, 6, 7
Section 10.1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Section 10.2: 1, 2, 3, 4, 5
Section 10.3: 1, 2, 3
Section 10.4: 1, 2, 3, 4