UPDATED marked with "UPDATE". I don't think there will be a workshop.

We have not allocated more than 11 live seminars, but I have another set with solutions recorded on video starring Sondre. So I'm assigning that for now, and hopefully giving you a live session as "12".

Compendium 4-05 and 4-08 (double integrals)
UPDATE: Let S be the triangle with corners (in the (x,y) plane): (3, 2020), (5, 2020) and (5,2021). Let f(x,y) be an arbitrary function.
Write down (1) the double integral of f over S as a "dy dx" integral and (2) as a "dx dy" integral.
(In 2020 it was also assigned to solve the integral when $LaTeX: f(x,y)=y\cdot\sqrt{y-x}$ , but that is actually a bit of work. I didn't check if I have a video version with that function - or one without it.)
UPDATE: The logistic differential equation & a modification, see problem text below.
Compendium 5-14 (differential equation)
The entire exam 2018
UPDATE: From BI Norwegian Business School, their "Mathematics 2": do problem 4 from https://www.dr-eriksen.no/teaching/GRA6035/2011/final-2011-12.pdf
This is about the Lagrange 2nd order conditions, which is on-topic to the quasiconcavity "lecture" video (the Bordered Hessian criteria). I should add that I don't see Lagrange 2nd order conditions for any general functions setup given in any ordinary Math 3 exam as of now (that is not a promise) - but, this problem is a quadratic program and therefore is indeed a definiteness-under-linear-constraints question, and that you have already solved.
UPDATE: It is sometimes healthy to walk through a problem set and ask oneself: "am I supposed to be able to know this?" - and if something looks totally unfamiliar, get to know whether you have a gap or whether it is really unknown to you. Do that for the business school exam's problems 1, 2 and 3; that is, do not do the problems, but for each question take a stand on whether it is something you are supposed to handle in Math 3.

The logistic differential equation & a modification:

Logistic growth in an environment with bounded carrying capacity K>0, is described by the differential equation . It can be solved using so-called partial fractions, but you shall not do that.
- This is a Bernoulli equation. Transform it as in the book / as in the video, and solve the transformed equation.
- Solve for x.
- "Optional:" There are some quirks if you are careless. The following is of less exam relevance, but you don't use more than Mathematics 2 to answer it:
  - Are there any solutions for x that the transformation into z (book, the "v" of the video) fails to capture?
  - Conversely: are there any solutions to the transformed diff.eq., that are not solutions for x?
Consider the logistic growth equation, but modified as follows: put a power e on one of the "x" of your choice. That is, $LaTeX: \dot x = \rho x^e\cdot(1-x/K)$ or $LaTeX: \dot x = \rho x\cdot(1-x^e/K)$ , both valid for x>0.
Pick the one you think is easiest to solve, and solve it.