MATH 0107* C (Winter 2008)
Algebra and Geometry
Instructor: Dr. Ranjeeta
Mallick
Contact: Office: 3390 HP, Phone:
(613) 520 -2600, ext. 2142, Email: rmallick@math.carleton.ca
Students may come and see me in
my office during these hours: Wednesday 7-8pm.
Website: http://math.carleton.ca/~rmallick/
Textbook: Algebra
&Geometry (Dunkley, Gilbert, Anderson, Crippin, Davidson, Rachich, Zorzitto)
Classes:
Lectures three hours a week and a one hour tutorial.
Lectures begin on Monday, January 7, 2008, and then every Monday (21:05 -
21:55) and Wednesday (20:05 - 21:55) in University Centre 282. Lectures end on
April 7, 2008 (Monday).
Tutorials: begin on Monday, January 14,
2008.
On the tutorial sessions the students are expected to work in small groups or
individually on specific problems. A Teaching Assistant (TA) will be
present, to answer questions and to administer the tests.
Tutorials are scheduled every Monday, from 20:05 to 20:55.
|
Tutorial No. |
Tutorial Room |
TA's Name (last then first) |
|
|
Tut C1 |
University Centre 376 |
Covic, Anton |
Evaluation:
(1) Term Mark 45% (40% tests, 5% attendance);
(2) Final
Examination 55%.
Term Mark
There will be four 50-minute tests held in the regular tutorial hours. The test
dates are: January 28, February 11, March 3 and Mar
17.
Students are expected to take all 4 tests. Only
for those who wrote all 4 tests, the best 3 of the 4 will be counted. There are
no make-up tests. In case when a student misses a test due to illness (supported by a
doctor note), jury duty or extreme personal misfortune, the term mark may be
pro-rated. Please see me should such a case arise. It is your responsibility to
pick up your marked test from your TA. Usually the test papers are distributed
in the tutorial session following the test date.
Attendance on the tutorials will be taken randomly
several times per term.
Final Examination
This is a 3- hour exam scheduled by the University. The exam is taking place
during the period of April 11 - 29, 2008. It is each student’s
responsibility to be available at the time of the examination. In particular,
no travel plans should be made until the examination schedule is published. It is each
student’s responsibility to
find out the correct date and time of the exam and the room where it takes
place. When the exam is written, the students are allowed to see their exam
papers until May 15. This examination review is for the educational
purpose only and NOT for negotiation of the grade with the instructor. Please
remember that we do not change grades on the basis of your needs (such as
scholarships, etc).
Note: you must obtain
at least 50% of total and at least 30% of the final exam mark to pass
the course. Students who do not present any term work and are absent on the
final examination will be assigned the grade of FND – “Fail No
Deferral”. This means that the student is not eligible to write a
deferred examination.
If it happens that
you have missed the examination, then you may be eligible for a deferred exam,
provided that you have a doctor note or another supporting document. The
Registrar’s Office is the one that makes this decision. You should apply there
with the supporting documents. PLEASE NOTE: I cannot give you a
supplementary exam the day after. I do not have the authority to grant a
deferred examination. Students who are granted a deferred exam write the same examination as the Summer sections of this
course. I do not make and do not mark deferred exams for this course. All
questions after the deferred exam should be directed to the
Calculators
ONLY non- programmable calculators are allowed for tests and for the final
exam. Any programmable calculator will be confiscated for the duration of
a test or the exam. I reserve the right to disallow any calculator.
Homework
Selected exercises, mainly from the textbook, will be posted on my web
site. These exercises are not to be handed in and will not be
graded. However, to succeed in the course it is absolutely essential
that you do the exercises on a regular basis.
Withdrawal
The last day for withdrawal from the course is March 14, 2008.
The Tutorial Centre (1160 HP, in the tunnel)
This is a drop-in centre providing a one-to-one tutorial service for Q-year and
first year students on a
"first come first serve" basis. It is open starting January TBA,
at the following hours:
Monday to Thursday: 10:00 - 16:00. Evening Hours: TBA
Students with
disabilities requiring academic
accommodations in this course are encouraged to contact the Paul Menton Centre (500 University Centre, phone 520-6608) to
complete the necessary forms. After registering with the Centre, make an
appointment to meet with me in order discuss your needs at least two weeks
before the first in-class test. This will allow for sufficient time to
process your request. Please note the following deadline for submitting
completed forms to the Centre for formally scheduled exam accommodations: March
14, 2008.
Academic
Accommodation: You may need special arrangements to meet your academic obligations
during the term because of disability, pregnancy or religious obligations.
Please review the course outline promptly and write to me with any requests for
academic accommodation during the first two weeks of class, or as soon as
possible after the need for accommodation is known to exist. It takes time to
review and consider each request individually, and to arrange for
accommodations where appropriate. Please make sure you respect these timelines
particularly for in-class tests, mid-terms and final exams. You can visit the
Equity Services website to view the policies and to obtain more detailed
information on academic accommodation at http://carleton.ca/equity/accommodation
|
WEEK |
DATES |
TESTS |
SECTIONS |
TOPICS |
|
1 |
Jan 7 - 11 |
~ |
1.1 - 1.5 |
Vectors
and Scalars; Vector Addition and Scalar Multiplication. Review of
Trigonometric Functions. |
|
2 |
Jan 14 - 18 |
~ |
1.6 - 1.9 |
The
Dot Product and its Properties. Projections. |
|
3 |
Jan 21 - 25 |
~ |
2.4, 2.7 |
Linear
Dependence and |
|
4 |
Jan 28- Feb 1 |
Test
1 |
3.1 - 3.3 |
Vector,
Parametric and Cartesian Equations of a Line in Plane. Equations of a Line in
3-space. |
|
5 |
Feb 4- 8 |
~ |
3.4,-3.5 |
Vector
and Parametric Equations of a Plane in 3-space. Cartesian Equations of a
Plane in 3-Space. |
|
6 |
Feb 11- 15 |
Test
2 |
4.1 - 4.3 |
The
Intersection of a Line with a Plane and the Intersection of two Lines.
Equivalent Systems of Equations. Gaussian Elimination. |
|
7 |
Feb 25- 29 |
~ |
4.4,
4.7, |
Intersection
of two Planes. The Distance from a
Point to a Plane. |
|
8 |
Mar 3- 7 |
Test
3 |
5.2, 5.4 |
Matrices. |
|
9 |
Mar 10 - 14 |
~ |
7.1 - 7.4 |
Mathematical
Induction. Summation Notation. |
|
10 |
Mar 17 - 21 |
Test 4 |
7.5, 8.1 |
Binomial
Theorem. Complex Numbers. |
|
11 |
Mar 24 -28 |
~ |
8.2, 8.3 |
The
Complex Plane and Quadratic Equations. |
|
12 |
Mar 31-Apr 4 |
~ |
8.5, 8.6 |
Polar
Coordinates and Complex Number in Polar Form |
|
13 |
Apr 7 |
~ |
~ |
Course
review. |
Practice
Problems for the Winter 2008
Chapter 1
Page 4, Exercises 1.1: # 1, 2; Problems 1.1: # 1;
Page 8, Exercises 1.2: # 1, 2, 3, 7, 9, 11, 13, 14; Problems 1.2: #
2;
Page 12, Exercises 1.3: # 1, 2, 3, 4, 6, 8, 9;
Page 16, Exercises 1.4: # 1, 3, 4, 6, 8; Problems 1.4: # 1, 2;
Page 22, Exercises 1.5: # 2, 3, 4, 5.
Page 26, Exercises 1.6: # 2, 3, 4, 6, 7, 8, 15; Problems 1.6: # 1, 2;
Page 32, Exercises 1.7: # 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 17;
Page 36, Exercises 1.8: # 1, 2, 5, 6, 7, 8, 9, 10;
Page 40, Exercises 1.9: # 1, 3, 7, 8, 9;
Page 41, Review Exercises: # 1, 2, 3, 5, 6, 7, 8, 9, 10, 14, 15;
Chapter 2
Page 59, Exercises 2.4: # 1, 2, 4, 5, 6, 7, 8, 9; Problems 2.4: # 3, 5;
Page 76, Exercises 2.7: # 1, 2, 3, 4, 7, 8, 9, 10
Page 77, Review Exercises: # 5, 6, 14, 15, 16, 17, 18.
Chapter 3
Page 83, Exercises 3.1: # 1, 2, 3, 4, 5, 6, 7, 8, 9, 12; Problems
3.1: # 1.a;
Page 88, Exercises 3.2: # 1, 2, 3, 4, 5, 6, 7;
Page 94, Exercises 3.3: # 1, 2, 3, 4, 5, 6, 8; Problems 3.3: # 1,
2, 3, 4;
Page 99, Exercises 3.4: # 1, 2, 3, 5, 6;
Page 104, Exercises 3.5: # 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13;
Page 111, Review Exercises: # 2, 3, 5, 6, 8, 9, 16, 17, 20;
Chapter 4
Page 119, Exercises 4.1: # 1, 2, 3, 4, 5, 6, 7, 8, 9, 10; Problems 4.1: # 6;
Page 125, Exercises 4.2:# 1, 2, 3, 4, 5; Problems 4.2:# 1, 2, 3;
Page 131, Exercises 4.3:# 1, 2, 3, 4, 5, 6; Problems 4.3: # 2, 3, 4;
Page 137, Exercises 4.4:# 1, 2, 3, 4, 5, 6;
Page 151, Exercises 4.7:# 1, 2, 3, 4, 7, 9;
Page 156, Review Exercises:# 1, 2, 3, 4, 5, 6, 7, 8, 9, 12;
Chapter 5
Page 167, Exercises 5.2: # 2, 3, 6, 7, 8, 9; Problems 5.2: 1, 2;
Page 185, Exercises 5.4: # 2, 4, 5, 6; Problems 5.4: # 3;
Chapter 7
Page 255, Exercises 7.1:# 1, 3, 4;
Page 259, Exercises 7.2:# 1, 3, 4, 5;
Page 263, Exercises 7.3:# 1, 2, 4, 6, 7, 10; Problems 7.3: # 1;
Page 272, Exercises 7.4:# 4, 7;
Page 279, Exercises 7.5:# 1, 4, 5, 7;
Page 280, Review Exercises:# 1, 2, 3, 6, 7, 8;
Chapter 8
Page 288, Exercises 8.1:# 1, 2, 3, 4, 5, 6; Problems 8.1: # 2;
Page 294, Exercises 8.2:# 1, 2, 3, 4, 7, 8, 9, 10, 11;
Page 299, Exercises 8.3:# 1, 2, 3, 4, 6;
Page 320, Exercises 8.5:# 1, 2, 3, 4, 5, 6;
Page 324, Exercises 8.6:# 1, 2, 3, 4, 5, 6;
Page 329, Review Exercises :# 3, 4, 5, 7, 14;