MAT 1300B: Mathematical Methods I
Fall 2019
Professor:
Dr. Arian Novruzi
Department of Mathematics and Statistics
STEM bld, office #527
tel: (1 613) 562 5800 ext 3530
email: novruzi@uottawa.ca
web : http://www.mathstat.uottawa.ca/~novruzi
The
important dates are here: https://www.uottawa.ca/important-academic-dates-and-deadlines/
Lecture and DGD hours:
| MAT1300B |
LEC
1
|
Mo 2:30PM -
3:50PM
|
125 University
(MNT) 202
|
|
LEC
2
|
Th 4:00PM -
5:20PM
|
125 University
(MNT) 202
|
|
|
|
|
|
DGD
|
Find the time and room of
your DGD at uocampus |
|
You must attend all lectures
(LEC), and the discussion group (DGD) of your session.
You may
only attend the section of MAT1300 in which you are
registered. Students attending the wrong section risk not
receiving a grade.
Office hours:
Tuesday: 10:30-13:30
MAT1300 homepage:
In this page you will also find different comments about the
midterm and the final exam.
At the end of this homepage, you will find a
tentative course breakdown lecture by lecture.
Textbook:
- Shana Calaway, Dale Hoffman, David Lippman
- Optional Additional Text:
- Larson, Edwards, Brief Calculus, An applied approach.
Course Abstract:
Calculus is one of the most important mathematical tools in
many subjects, from Engineering and Physics to Economics and
Finance.
This course is especially designed for applications in Business
and Economics, with emphasis on problem-solving and
mathematical models.
It will cover these topics:
Review of elementary functions. Limits. Geometric series.
Differential and integral calculus in one variable with
applications. Functions of several variables. Partial
derivatives.
I and will follow closely the textbook.
Prerequisites:
The course goes rapidly. You are assumed to have a solid
background in high school (OAC) mathematics, including OAC
Calculus. If you are unsure of your background, please see
me.
Marking Scheme:
- Final exam: 50 %.
- Midterm Exams: 25 % each.
Midterms will be written in class, during the lecture hours.
First midterm on October 10, the second on November 14.
- The first midterm will cover the material developed in
class from the beginning of the course to the lecture before
the midterm (included).
- The second midterm will cover all the material
developed between two midterms.
- If you miss a midterm for a valid reason, the weight of
the midterm will go to the final exam weight. Otherwise you
will get zero for the midterm.
In computing your marks, the following conditions will be
imposed:
- To pass the course you must have BOTH a
passing mark and also must
score at least 40 % on the final.
- If you do not pass, your final exam mark will be your
course mark.
Useful
Advices:
It is strongly recommended to
attend
all
class
lectures and take good notes. If you find yourself getting behind,
please see the Instructor and/or go to the help centers.
You should check MAT130B
2019 frequently
to find out precise topics.
You can practice with some recent
MAT1300
past exams. You can find more more past exams in this rich
(but a little bit old) MAT1300 homepage.
Drop-in Center:
The math help center is located in STEM Complex, room 207, from
September 09 to November 29, 2019. You do not need
an appointment. It is strongly suggested to not wait until the day
before a test or an assignment to consult the center for help, as
the center could be very busy. Please consult their web
page,
https://science.uottawa.ca/en/faculty-services/undergraduate-studies#MAT
for more information concerning the statistics help center. The
staff can help with any questions you may have. Feel free to visit
as often as necessary.
Please see the departmental website for more information on this
valuable service.
Diagnostic Exam:
Here
is diagnostic test for MAT1300 course. This test is for your own
information and should be used to determine if you have sufficient
algebraic background to take this course. It measures your
proficiency in the algebra necessary to take the course. Give
yourself 30 minutes with no books or calculators allowed. If you
get 8 or more right, you probably have sufficient algebra to
follow the course. If you get 5-7 right, you probably still have
enough but may have some difficulties. If you get 4 or less right,
you may have substantial difficulties in this course. If you are
unsure on where you stand, please feel free to come to talk to me.
The solutions to the above diagnostic are C E A B C A A B E A.
Calculators, cellphones:
There will be no calculators allowed on exams.
Cellphones and electronic devices must be turned off and put away
during exams.
Failure to follow this rule will be considered cheating.
Warnings:
- We have unfortunately caught a number of students
cheating in this and other math courses over the last several
years.
- Cheating entails very harsh penalties.
- Possible punishments range from a grade of F in the course to
expulsion from the University.
- Talking and rudeness in class will not be tolerated. I
can and will have disruptive students removed from the course.
- Use of cell phones
during lectures is not allowed. Make sure your cell phone is
turned off.
- Students may not enter after 20 minutes from the
beginning of a test. Students must present their student cards
if asked.
Course breakdown lecture by lecture
Lec. 1
- Ch. 1, secs. 1, 2, 3;
- homework assignments
- 1.1: 1, 3, 4, 6, 7, 9, 12, 15, 18, 19, 22, 25,
30
- 1.2: 1, 3, 5, 8, 12, 13, 16, 30, 21, 24, 28,
30, 31, 34, 37, 42, 46, 49, 50
- 1.3: 1, 3, 5, 7, 12, 14, 17, 19, 22, 24, 26, 29, 31,
33
Lec. 2
- Ch. 1, secs. 4, 5, 6
- homework assignments
- 1.4: 1, 5, 8, 8, 14, 16, 19, 21, 24
- 1.5: 1, 6, 7, 12, 13
- 1.6: 1, 4, 7, 10, 15, 18, 19, 23, 27
Lec. 3
- Ch. 1, secs. 7, 8. Geometric series (see lecture notes)
- homework assignments
- 1.7: 1, 3, 6, 7, 12, 13, 16
- 1.8: 1, 3, 5, 8, 9, 12, 19, 23, 25, 28, 30, 32
Lec. 4
- Ch. 2, secs. 1, 2
- homework assignments
- 2.1: 1, 3, 4, 5, 6
- 2.2: 2, 5, 7, 9
Lec. 5
- Ch. 2, secs. 3, 4
- homework assignments
- 2.3: 3, 4, 5, 6, 8, 9, 11
- 2.4:
- Find the marginal cost (MC), with C(x)=3x^2
+2x+1, at x=1, x=100. Explain the meaning of the MC.
- Find the marginal profit (MP) with
P(x)=100/(1+x^2) at x=1, x=100. Explain the meaning of
MP.
Lec. 6
- Ch. 2, secs. 5, 6
- homework assignments
- 2.5: 1, 2, 3, 4, 5, 6, 11, 12, 14, 15, 16, 19, 27,
29, 32
- 2.6: 1, 2, 7, 8, 10, 12, 13, 18, 21, 22
Lec. 7
- Ch. 2, secs. 7
- homework assignments
- 2.7: 1, 2, 3, 7, 9, 10, 12, 15, 16, 18, 19, 20, 21,
24
Lec. 8
- Ch. 2, secs 8
- homework assignments
Lec. 9
- Ch. 2, secs. 9
- homework assignments
- 2.9: 1, 2, 5, 6, 7, 8, 9, 10, 14, 15, 16, 18, 19
Lec. 10
- Ch. 2, secs 10
- homework assignments
Lec. 11
- Ch. 2, secs 11
- homework assignments
Lec. 12
- Ch. 3, secs. 1
- homework assignments
- 1, 5, 6, 8, 9, 10, 12, 15, 18, 22, 23, 24, 35, 44
Lec. 13
- Ch. 3, secs. 2
- homework assignments
Lec. 14
- Ch. 3, secs. 3
- homework assignments
Lec. 15
- Ch. 3, secs. 4
- homework assignments
Lec. 16
- Ch. 3, secs. 5
- homework assignments
Lec. 17
- Ch. 3, secs. 6
- homework assignments
- 1-4, 6, 7, 10, 11, 13, 17, 18, 21-28
Lec. 18
- Ch. 3, secs. 7
- homework assignments
Lec. 19
- Ch. 4, secs. 1
- homework assignments
- 1, 2, 5, 6, 7, 8, 11, 12, 15, 16, 19, 20, 25-36,
39-42
Lec. 20
- Ch. 4, secs. 2
- homework assignments
- 1, 2, 3, 4, 6, 7, 8, 11, 14, 16, 17, 18, 19, 20, 21,
23, 25, 26
Lec. 21
- Ch. 4, secs. 3
- homework assignments