- T1 Jan 14
-
Definition and properties of divisibility and
the greatest common divisor.
Page 17 exercises 5-8,11-13,15, 20-22, 24
A few 'focus' exercises from that list:
5, 6, 12, 15, 21, 24.
- T2 Jan 21
-
A few "focus" exercises from p17-19: 1(d),
3(d), 4(a), 17/18/19, 25/26, 27, 29
Most of the exercises are worth doing (up to 35 at
least), and assignment or test questions may be chosen
from some these.
- T3 Jan 28
-
We have finished 1.3 and most of the question up to
#33 are worth doing.
A few "focus" exercises:
p18: #28, 29 (use section 1.3 to solve, not section
1.2);
p28-31: #3,
5, 11, 12, 16, 19, 27.
You should eventually look
at all of 1 through 33.
#22 should be reviewed when you are preparing for the
first Test.
- T4 Feb 04
-
Section 2.1
You should eventually look
at all of 1 through 43, 49, 50, 51, 53.
For today: 1-15, 28-33, 34--37.
A few 'focus' questions: 2, 5, 13, 15, 28, 33.
- T5 Feb 11
- Term Test 1
- T6 Feb 25
-
Suggested exercises: Section 2.2, 1–10.
You can expect questions like
the parts of 5 and 6 on the next test or the final exam.
Suggested exercises: Section 2.3.
There are many good exercises here:
1–8, 9–13, 14–17,
18–24 (the starred exercises are more challenging,
but reasonable to attempt), 25–36.
Here are a few problems to focus on: 7, 9, (10 + 11), 14,
18, 25, 32, 34.
- T7 Mar 04
- Continue work on Section 2.3.
Section 2.4 is not part of the course.
Section 2.5. There is a variant of Problem 1 on
the assignment; this involves directly applying the
method described in this section, and we can't give you
any further hints.
We did most of Problem 2, and Problem 3. 4 and 5 are
worth looking at, but a little challenging.
We will see our first significant examples for
Section 5.1 in class on Monday. Problems 1, 2,
6–12 are all reasonable based on what we did last
week.
Focus problems in Section 5.1: 1, 6, 7, 9, 10.
- T8 Mar 11
-
Suggested exercises: Section 5.1.
There are many good exercises here:
All of 1–15 are worth doing (13 to 15 are somewhat
harder).
Here are a few problems to focus on: 3a, 4a, 4f, 5.
Some of 6–12 will be done in class.
Section 5.2: Most of these are long, hard problems. But
you should certainly work through #1 and #2.
- T9 Mar 18
- Term Test 2
- T10 Mar 25
-
You can continue work on Section 5.2.
Section 5.3: Question 2 is on the assignment. The rest
of questions 1–12 are good. Some 'focus questions':
3, 4, 8, 10.
Section 2.8; All the questions up to 18 are reasonable.
A few 'focus' questions: p106, 3, 6, 8, 9, 11.
-
T11 April 05 FRIDAY in class
-
Quadratic reciprocity:
Section 3.1, p135,
4–15, (some of the problems high in the list are
challenging!). Section 3.2, p140, 1–11.
Focus exercises:
p135, 7, 8, 10, 11. p140, (some parts of 4, 5), 8, 10.
Arithmetic functions:
Section 4.2, p191, 1–20.
Section 4.3, p195, 1–3, 5–8.
We did 1, 2, 3, 6 in class.
18 is easy using the various convolution formulas that
we have proved.
Focus exercises: p191, 3, 7, 10, 11, 14;
p195, 5, 7, 8.
- April 08
-
NO TUTORIALS DURING THE FINAL 3 DAYS OF LECTURES!
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