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University of DebrecenDelft University of TechnologyBudapest University of Technology and EconomicsCornell UniversityUniversity of Minnesota
University of DebrecenDelft University of TechnologyBudapest University of Technology and EconomicsCornell UniversityUniversity of Minnesota
University of DebrecenDelft University of TechnologyBudapest University of Technology and EconomicsCornell UniversityUniversity of Minnesota
University of DebrecenDelft University of TechnologyBudapest University of Technology and EconomicsCornell UniversityUniversity of Minnesota
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Biology

Mitosis in four beats

Mitosis is how one cell becomes two matching nuclei—essential for growth, repair, and keeping chromosome number stable.

The sequence

  1. Prophase — DNA packs into chromosomes; spindle begins
  2. Metaphase — chromosomes line up on the metaphase plate
  3. Anaphase — sister chromatids pull apart
  4. Telophase — two nuclei; cytokinesis splits the cytoplasm

You might ask what happens if a checkpoint fails and the cell still tries to divide — let’s find out next.

Mathematics

The derivative, visually

The derivative f′(x) is the instantaneous rate of change of f at x—the slope of the tangent line, not an average over an interval.

From secant to tangent

  • Average rate from x to x + hlimit as h → 0
  • If f′(x) > 0, f is rising near x
(f(x + h) − f(x)) / h   →   f′(x)

Power rule: d/dx xⁿ = n xⁿ⁻¹ (for integer n ≠ 0).

Next, let's see how we can use the power rule to find the derivative of a function.

Chemistry

Naming organic molecules

IUPAC names tell you the parent chain, functional groups (by priority), and substituents—so “C₄H₁₀O” isn’t ambiguous about which isomer you mean.

ClassTypical suffix
Alkane-ane
Alkene-ene
Alcohol-ol

Stereochemistry (E/Z, R/S) matters when connectivity alone isn’t enough.

Now let’s see what happens when one formula could name several different molecules.

Create your lessons the way you want them.

Customize your lesson to your liking, set the focus, depth, and tone, attach your own notes, PDFs, and slides. We'll build the lesson around exactly what you need.

  • Adjust focus and complexity
  • Add your own notes or files
  • Highlight what matters most
Keep it brief, exam in 3 days. Focus on inverse matrices in 3D graphics. I know determinants, so skip the basics.

Inverse matrices in 3D graphics

Learn how to compute the inverse for view and projection matrices, use them for camera-space transforms, and handle cases where an inverse doesn’t exist.

What early users say

Feedback from students using study tutor during early access.

I had four days before a thermodynamics exam, so I attached the lecture slides and told it to skip anything on ideal gases because I already had that down. It actually skipped it. The entropy card was still too dense, so I asked it to dumb it down and the second version finally clicked. I haven't opened the original slides since.

AS
Atanas StoyanovMechanical engineering

The part I didn't expect to use is the chat. It already knows which card I'm looking at, so I can type "wait, why does that work" and it knows what I mean. Beats trying to word a whole question.

TB
Tarik BouchibaYear 12 student

I highlight whatever won't stay in my head and it all collects in one list. Night before a test I read that instead of the whole thing again.

IN
Ifeoma NwosuMedical student

The subject scores are a bit brutal, honestly. Turns out I'd been quietly avoiding statistics for about a month.

DY
Deniz YalcinSoftware engineer

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