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### Topics - Victor Ivrii

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436
##### Quiz 1 / Q1 problem 1 (L5101)
« on: September 24, 2014, 10:17:48 PM »

2.6 p. 102, # 25
Solve
\begin{equation*}
(3x^2y+2xy+y^3)+ (x^2+y^2)y'=0.
\end{equation*}

437
##### MAT244 Math--Lectures / L5101 - Week 3
« on: September 24, 2014, 05:20:09 PM »
I plan to give intro to 2nd order equations and then to cover sections 3.1, 3.2 and may be start 3.3

438
##### MAT244 Announcements / WebWork clarification
« on: September 24, 2014, 02:58:00 PM »
It looks like problems you get contain random parameters so students get slightly different problems (and the slightly different answers). At the moment we (instructors) are not completely aware about all features, bugs and quirks of this system. So, the question "which answer is correct?" or "is it a correct answer" makes no sense without writing down the problem itself.

Remember: system is experimental, beta-quality and we do not assign marks for Home Assignments.

439
##### MAT244 Announcements / L5102: new room
« on: September 18, 2014, 03:20:22 PM »
From the 3-rd week (so effective immediately) section L5102 moves from FG103 to LM161

440
##### MAT244 Math--Lectures / L5101: weeks 1--2
« on: September 16, 2014, 05:45:25 AM »
At week 1 we covered Chapter 1 (glanced through) and sections 2.1--2.4 (skipping 2.5) and started section 2.6 (only exact equations).

At week 2 we finish Chapter 2: finish section 2.6â€”integrating factor, consider some other solvable equationsâ€”homogeneous and Bernoulli, section 2.8 (!!) and 2.7. We skip 2.9

441
##### MAT244 Announcements / Writing the quiz with another section
« on: September 15, 2014, 10:57:17 AM »
Students of one evening section are allowed to write Quiz with another evening section but not with a day section.

Students of the day section are allowed to write a Quiz with one of the evening sections.

442
##### MAT244 Announcements / Welcome to the class
« on: September 03, 2014, 06:35:51 AM »
Welcome to this course forum.

It runs in conjunction with this course website. More permanent and systematic information is placed on website, while forum is for discussion. Please read before registering!

However  change your (screen) Name  (the one which everybody sees) to one easily identifiable (Admins should be able to identify you with a student enrolled to this course--and matching BlackBoard name; otherwise your posting privileges could be reduced or revoked):  Open Profile > Account Settings and look for "Name".

It would be preferable to use your University of Toronto email address.

BTW you can have a cool avatar too. Please do not display any confidential info.

Some forum rules
• Please use different boards according to their description (I will create new ones if needed)
• Do not hijack topics: if the topic is devoted to some question, do not post anything which is not related. Start a new topic.
• On the other hand, do not start new topic answering to the existing post; use the same topic.
• Do not put in the same post several not related things - make several posts instead (in different topics).
• Do not post solution which coincides with the solution already posted by someone else;
• Read and search before postings;
• Use common sense.

Karma
Useful posts are rewarded by Karma which later translates to Bonus points (in the final mark).

Have questions?
If you have a question which you think is of general interestâ€”ask it here rather than via email.

MathJax
This forum (and website) use MathJax to display mathematics. However hooking MathJax broke preview in many browsers (but not in Safari, Chrome or other WebKit based browsers). Still, you can always modify your post.

Blackboard
Blackboard https://portal.utoronto.ca/, Winter-2014-MAT244H1-F-LEC5101.LEC5102.LEC0101: Ordinary Diff Equat/Ordinary Diff Equat, will be used only for marks, occasionally for copies of  the important announcements and emails.

443
##### Technical Questions / testing pdf
« on: June 23, 2014, 05:15:33 AM »
This is pdf

444
##### Technical Questions / testing svg
« on: April 19, 2014, 07:55:36 PM »
Testing svg

445
##### Final Exam / MOVED: Final exam format
« on: December 14, 2013, 02:45:13 PM »

446
##### MAT244 Announcements / Term mark
« on: December 06, 2013, 10:02:54 AM »
Total mark for quizzes and term mark are posted for all sections

Remember: if you wrote all 6 quizzes Quizzes is the sum of 5 best scores (the worst score is dropped)
If you wrote less than 5 quizzes, Quizzes is the sum of all scores.

Term Mark = Quizzes + MidTerm

Please check for omissions and errors.

If you missed MidTerm and submitted doctor notice MidTerm will be taken equal to FinalExam

447
##### Quiz 5 / Problem 2, night sections
« on: November 20, 2013, 08:40:10 PM »
Express the general solution of the given system of equations in terms of real-valued functions.
\begin{equation*}
\mathbf{x}'=\begin{pmatrix}2 &-5\\1 &-2\end{pmatrix}\mathbf{x}.
\end{equation*}

448
##### Quiz 5 / Problem 1, night sections
« on: November 20, 2013, 08:39:11 PM »
Find the general solution of the given system of equations and describe the behaviour of
the solution as $t\to \infty$:
\begin{equation*}
\mathbf{x}'=\begin{pmatrix}3 &-2\\2 &-2\end{pmatrix}\mathbf{x}.
\end{equation*}

449
##### MAT244 Announcements / Quiz 6
« on: November 20, 2013, 09:05:04 AM »
The last Quiz 6 will be November 27 in night sections and November 28 in day section. Coverage: sections 7.8, 7.9 and 9.1

450
##### Quiz 4 / Problem 2 Night Sections
« on: November 13, 2013, 08:33:40 PM »
7.4 p. 395 \#6
Consider the vectors $\mathbf{x}^{(1)}(t) = \begin{pmatrix}t\\1\end{pmatrix}$ and  $\mathbf{x}^{(2)}(t) = \begin{pmatrix}t^2\\2t\end{pmatrix}$.

(a) Compute the Wronskian of $\mathbf{x}^{(1)}$ and $\mathbf{x}^{(2)}$.

(b) In what intervals are $\mathbf{x}^{(1)}$ and $\mathbf{x}^{(2)}$ linearly independent?

(c) What conclusion can be drawn about the coefficients in the system of homogeneous differential equations satisfied by $\mathbf{x}^{(1)}$ and $\mathbf{x}^{(2)}$?

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