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Mat-1.1020 L2 course is a course usually taken by theoretical-physicist-dept students in Aalto University, here official site. It is a mass course that a massive amount of students fail every year. It was much worse earlier when the books were not open but luckily the lecturer opened up the books for public review, here (for some reason, I cannot find the first book anymore -- sign) and here.

Please, provide here material generated by users and only include questions with references so easier for future students to self-study!

Course book (Finnish): ISBN-952-91-9159-6 (2007), pages 515-1052.

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Source of the comic here.

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closed as too localized by Jyrki Lahtonen, t.b., Qiaochu Yuan Jun 24 '12 at 6:13

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

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This seems incredibly specific. –  Dylan Moreland May 23 '12 at 15:08
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I don't think that this question is what was intended by the 'Encyclopaedia' blog post. The idea behind this site is that questions are mathematical questions, not merely questions about mathematics, and particularly not for questions with such a tiny intended audience as this one. There is nothing to stop you from posting a list of links to Math.SE questions on another site (eg your personal website, blog or the course website for this course) but this kind of material is does not belong here. –  Chris Taylor May 24 '12 at 9:09
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I think personally too that such posts belong here. Similar questions can be found at Stackoverflow, listing things. For some reason, I cannot find "Community post" -button from here. Such listing could be our "Wiki" here. –  Masi Jun 20 '12 at 20:46
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Frankly, I don't care, if a policy has changed or not. I don't want to see "questions" like this. Of course, that is just my opinion. I second Chris Taylor's opinion that this is not quite what that policy change was about. Just imagine if a similar list was posted for each and every course taught on each and every math course. -1 –  Jyrki Lahtonen Jun 21 '12 at 18:36
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I don't think this is a good use of this site. It is immensely localized, and it is trivial to do this in a blog or wiki or even on a facebook page. –  Mariano Suárez-Alvarez Jun 22 '12 at 7:27
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1 Answer

up vote 2 down vote accepted

Questions in studying the course Mat-1.1020 with the book here, year 2012.

Matrices

  1. Projection to the plane in the direction of the vector?
  2. Rotation around a point?
  3. Some theorem about block matrix determinants with symmetric inner matrices?
  4. Determinant of Large Matrix with Gauss rule?

  5. Confusion with eigenvalues, needs clarification

Differentials

  1. Explain the error term in Euler method
  2. Do I use Euler -method with Differentials correctly?
  3. $r(r-1)^2=1$, how to solve this polynomial analytically?
  4. $y'''-y=x^{2}$ has solution -- `"multiplicity"`?
  5. Complementary Solution = Homogenous solution?
  6. $k(x) = \frac{y''(x)}{\left( 1+\left[y'(x)\right]^{2}\right)^{3/2}}$ to initial value problem form?
  7. $2\int_0^x t y(t)\; dt = x^2 + y(x)=2 \lim_{n\rightarrow 0}\sum_{k=1}^n y(\epsilon_k) \; \Delta x_k$, what is the integral -method?
  8. `"Variation of Constant"` -method to solve linear DYs?
  9. Substitution $x=\sinh(\theta)$ and $y=\cosh(\theta)$ to $(1+x^{2})y'-2xy=(1+x^{2})^{2}$?
  10. Easy way to solve this non-linear second degree DY $\sqrt{y}\;y''=1$?
  11. Some double angle identity to solve $(2x^{2}+y^{2})\frac{dy}{dx}=2xy$?
  12. $y''=(y')^{3} e^{y}$, some easy way to solve this non-linear differential equation?
  13. Basic Reference material about ODEs such as saparability with calculations and examples?
  14. Calculate perimeter from parametric form with an ellipse?
  15. $\int_{0}^{\infty}\frac{1}{kx^{2}+1} dx=\int_{0}^{\infty} dx -\int_{0}^{\infty}\frac{kx^{2}}{kx^{2}+1} dx$ diverges?

Series and Definite/Indefinite Integrals

  1. Some well-known converging series to compare $\sum\limits_{n} \frac{1}{n(\ln(n))^{k}}$?
  2. Define $\lim_{x\rightarrow 0} \frac{1}{x}\int_{0}^{x} e^{t^{2}} dt$, what is the purpose of this question?
  3. Definite integral with Infinite border?
  4. Help needed with $\int \frac1{\sqrt{x}}\ln(x)\sin(x) dx$
  5. Help needed with definite integral for $\lim_{n\rightarrow \infty}\sum_{k=1}^{n} \frac{1}{n+k}$
  6. Help me with this mock-long-division $\frac{-x+2}{x^{2}+x-2}=\frac{-4}{3(x+2)}+\frac{1}{3(x-1)}$
  7. $\int \cos(x) \ln(x) dx$, elementary function?
  8. Help me to remember $\operatorname{cosh}^{2}(y) -\operatorname{sinh}^{2}(y)=1$, some easy verification and deduction?
  9. Express $I_{n}(x)=\int (x^{2}+1)^{(n-0.5)} dx$ with recursion

  10. $\partial_x \left( \int_0 ^1 \frac{e^{xzt}}{x-y+z+t} dt \right)$, somehow skipping the integral?

  11. Help with $\int^{\pi/2}_0 \left( \int_{\pi/2}^y \frac{\sin(x)}{x} dx\right) dy.$

Partial derivatives

  1. Help needed with partial derivatives and polar coordinates, missing term.

Coordinates

  1. Help needed with volume integral in Cylinder coordinates

  2. Help me with Cylinder -coordinates problem, back to Cartesian or not? How to do it fast?

Logic

  1. Basic logic problem with verbal question, confirmation whether right or wrong
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