Old Announcements
- Homeworks #5 are marked. You can pass by my office if you want to
get yours. I will also have them with me during my office hours, in KED
B04. You might want to have a look at the solutions: Power and Taylor series
are in the final, and this homework, as the other ones,
contains typical questions.
- The final will cover the 5-6 parts we covered in class: definite
integrals, improper integrals, use of the integral (this was 1 month,
expect quite a few questions on it...). Then we covered differential
equations: Euler and separation of variables, and models: logistic and
exponential, but also how the concentration in a reservoir varies. In
the series, expect geometric series, use of comparison tests, power
series and taylor series. Finally, as I said, 2 questions on functions
with several variables.
Posted on Monday, July 16th.
- Announcements below are still valid.
- The solutions for homework #5 are on the web.
Posted on Thursday, July 12th.
- The list of
suggested exercises for
the differentiation of functions of several variables is on the web.
Here are some solutions.
- Here is a summary of the forthcoming events, with respect to this class:
- Thursday, July 12:
- Last DGD, 5:30-7pm and last lecture, 7-9pm.
- Tuesday, July 17:
- Office hours, 4-5:30, in KED B07.
- Thursday, July 19:
- Final Examination, MNT 202, 7-10pm.
- By Monday, July 23:
- Grade published on the web.
Office hours 2-4pm in my office, KED 204, if you want to have a look at
your exam.
- Wednesday, July 25:
- I am leaving Ottawa. If you want to have access to your exam after
this date, including in September, you'll have to ask at the reception
desk of the math departement.
- If you cannot come at my office hours, an appointment can be
scheduled.
Posted on Wednesday, July 11th.
- Homework #5 on the web, due Thursday, July
12th.
- The suggested exercises for the last DGD are:
- For Taylor series: here (updated version
of the ones for this week).
- For functions of two variables: Section 12.2#2,4,6,8,9,10,14.
Section 12.3#12,13,14,17,18 (If you are missing the book please
contact me).
- The homework #4 has been corrected. I will bring them on Tuesday.
However, if you want to see your copy before that, feel free to pass by
my office. I will be here Friday, July 6th from 10:30am to 1pm at least,
and most of Monday.
- The solution for the midterm #2 is on the web.
Posted afer the test on Thursday, July 5th.
- Following a request, here is how to
decide of the convergence of a series in the suggested exercises.
Posted after the class of Tuesday, July 3rd.
Posted after the class of Thursday, June 28th, updated on Saturday,
June 30th.
Posted after the class of Tuesday, June 19th.
Updated Friday, June 20th.
- Solutions available for the first midterm.
- Midterm #1 and Homework #2 have been marked and were handed back.
NOTE: The midterm was very deceiving. The chapter on the series is a
big chapter, and quit a difficult one. Be ready to work way more than
what you did, if you want a better mark at the midterm 2, and at the
final.
- Homework #3 is available. Due Tuesday, June 19th.
You have 10 days: it is long. Do not start the night before or you might not
manage to finish it.
- Note: next week is the reading week, no class. Next lecture is Tuesday,
June 19th
- I will not be available next week. If you want to meet me I will have
office hours Friday, June 8th, from 3pm to 5pm, in my office (KED B204).
Also, I will have office hours Monday, June 18th, from 5:30pm to 7pm,
in KED B07B.
- The exercises for Sections 11.3,5-7 are the following:
- Section 11.3: On the web.
- Section 11.5: 10,11,12,13,15,19,21,23,24.
- Section 11.6: 7,9,12,13,18,24.
- Section 11.7: 5,6,9,11,14.
If you do not have access to the book, send me a mail (as found
on the syllabus).
Posted for and after the class of Thursday, June 7th.
- Solutions for the homework #2 on the web. I had some trouble to put it: if you can't read it let me know.
- First test this Thursday, May 31st, during class: 7pm to 9pm, CBY D207.
Topic: all the integrations up to and including the work.
Posted for the class of Tuesday, May 29th.
- In the homework #2, the question 3 happens to be
difficult. The homework will be marked on 15 points instead of 18, and
question 3 is left as bonus: Assume the intersections points of the two curves
are 0 and 1.8954. The homework is still due next Tuesday, May 29th.
- The solutions
for the first homework are online.
Question 1.iii was done the hard way. You can also
subsitute u for x-7 and then the fraction splits.
NOTE: PAGE 20 HAS BEEN REMOVED: IT WAS WRONG.
- Suggested exercises for next week's DGD.
Note that those are also material for the first midterm.
- A special office hour has been set up on Monday, May 27, from
5:30pm to 7pm.
Posted for the class of Thursday, May 24th.
- The homework #2 is due
next Tuesday, May 29th.
- The solutions
for the first homework are online. Note: Question 1.iii
was done the hard way. You can also subsitute u for x-7
and then the fraction splits. NOTE: PAGE 20 HAS BEEN REMOVED.
- Solution for the exercise
1.v from the list for this week. Note: more to come.
- After the lecture, I was asked how to solve an integral,
here is a solution for it.
Posted after the class of Tuesday, May 22nd.
- Remember: Homework #1 due next Tuesday.
- Some hints and partial solutions
for the suggested exercises of Sections 7.7-8. Note that the integral
number 5 in question 2 might have been done wrong in the DGD. Please
have a look at the sheet for the solution.
- The list of suggested exercises for next week:
area between curves and solids (Sect. 8.1-2).
Posted on Friday, May 18th for the class of Thursday,
May 17th.
- The due-date for the homework has been changed to Tuesday,
May 22nd.
Posted for the class of Tuesday, May 15th.
Posted for the class of Thursday, May 10th.
- We will cover this week Sections 7.7-8 on improper integral, and
do pieces of Chapter 8: Sections 1,2,4,5.
- Concerning last class, you will find the complete
example on partial fraction I did
not finish (no, it won't be that hard in the test),
plus another example
I might have mess up.
- A handout has been added,
concerning trigonometric functions
Posted for the class of Tuesday, May 8th.
- DGD of next week (May 8 and May 10):
Suggested exercises
on Section 7.4 and the definite integral.
-
For your information, here are the sections of the book that will be
covered in this class. Note that the order of the sections will not be
respected.
- Chapter 7 Sections 1,2: Revisions.
- Chapter 7 Section 4: More techniques of integrations
- Chapter 7 Sections 7,8: Improper integrals
- Chapter 8 Sections 1, 2, 4, 5: Using the definite integral
- Chapter 9: Sequences and series
- Chapter 10 Sections 1,2,3,4: Using the series for approximating
functions
- Chapter 11 Sections 1 to 7: Differential equations
- Chapter 12 Sections 1 to 5: Functions of several variables
- Chapter 13: Vectors
- Chapter 14 Sections 1 to 6: Differentiating functions of several
variables.
Note that this is only a broad road map that will evolve as the class
goes.
Posted for the class of Thursday, May 3rd.
- First day of class: Tuesday, 1st of May.
- First DGD: Thursday, 3rd of May.
Everybody is invited to show up, as there will be revision on some known
techniques of integration (integration using substitution and
integration by part).
List of suggested exercises:
- 7.1 # 6, 9, 16, 22, 24, 34, 73
- 7.2 # 3, 8, 15, 19, 20, 23, 34, 37
- 7.3 (not using tables!) # 7, 33, 1, 38
Posted for the class of Tuesday, May 1st.