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Topics - Victor Ivrii

Pages: 1 [2] 3 4 ... 30
16
APM346--Announcements / Survey Lecture
« on: November 10, 2016, 01:50:26 PM »
December 11 (Sunday), room BA 1230, 16:00--19:00

17
APM346--Announcements / Bonus
« on: November 02, 2016, 05:23:59 PM »
Solution to any Example in Textbook which is not analyzed in details, and any Problem which is not part of Home Assignment or was on in Term Test 1--is now Bonus Problem!

18
Q4 / Q4
« on: October 28, 2016, 09:02:21 AM »
Decompose into full Fourier series on interval $[-\pi,\pi]$ and sketch the graph of the sum of such Fourier series:
\begin{equation}
f(x)=|x|.
\end{equation}

19
APM346--Announcements / TT1 graded
« on: October 27, 2016, 11:08:23 AM »
Count   61
Minimum Value  4.00
Maximum Value20.50
Range16.50
Average13.84
Median14.50
Standard Deviation       4.28


GRADE DISTRIBUTION
Greater than 100     2
90 - 10012
80 - 89  9
70 - 7912
60 - 69  7
50 - 59  8
40 - 49  4
30 - 39  4
20 - 29  3

20
Technical Questions / \erf etc
« on: October 21, 2016, 08:34:58 PM »
Definitely $erf$ should be printed upright, like $\sin$ and so on. Unfortunately LaTeX and standard packages do not know this command (macro) \erf. Neither does MathJax with standard extensions. But there is mechanism: I place* in the preamble of the LaTeX document
Code: [Select]
\newcommand{\erf}{\operatorname{erf}}and now I can use \erf. In Mathjax I place* on the page the same command, surrounded by dollar signs
Code: [Select]
$\newcommand{\erf}{\operatorname{erf}}$and again! $\newcommand{\erf}{\operatorname{erf}}$


$\erf\bigl(\frac{x}{\sqrt{4kt}}\bigr)$

*) Only once

29
APM346--Announcements / Final Exam
« on: October 21, 2016, 11:52:22 AM »
http://www.artsci.utoronto.ca/current/exams/dec16

I will schedule the Review  Lecture  the day before exam. Also I will schedule my office hours the day before exam and day exam morning

30
TT1 / TT1-P5
« on: October 19, 2016, 10:30:41 PM »
Find the solution $u(x,t)$ to
\begin{align}
&u_t=u_{xx} && -\infty<x<\infty, \ t>0,\label{eq-5-1}\\[2pt]
&u|_{t=0}=\left\{\begin{aligned}
&1-x^2\qquad && |x|<1,\\
&0      && |x|>1,
\end{aligned}\right.\label{eq-5-2}\\
&\max |u|<\infty. \label{eq-5-3}
\end{align}
Calculate the integral.

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