For students
Your personal learning companion.
acemate turns your material into a personal learning path and adapts it with every exercise, question and answer.
Learning paths
Your materials become your learning path.
Every exercise and every flashcard shows acemate where you stand. The path reorders itself and points you to the next step.
Analyse.
acemate reads your slides, notes and past exams and identifies the topics your course actually covers.
Learning paths
Your materials become your learning path.
acemate reads your slides, notes and past exams and identifies the topics your course actually covers.
Price elasticity
Market equilibrium
Monopoly
Oligopoly
Game theory
Microeconomics II · Lecture 8
Public goods and market failure
The price elasticity of demand measures how strongly quantity demanded responds to a change in price. It is the central tool for gauging the revenue effect of a price change.
When demand is elastic a price rise lowers revenue; when it is inelastic revenue rises. The boundary lies at an elasticity of exactly one.
2.4 Market equilibrium
In market equilibrium the quantity demanded equals the quantity supplied. The price p* adjusts so that the sum of consumer and producer surplus is maximised.
3.1 Monopoly
A monopolist sets output where marginal revenue meets marginal cost and charges the corresponding price on the demand curve. A deadweight loss results.
3.6 Oligopoly
In an oligopoly each firm’s best move depends on the others. Quantity and price competition lead to different equilibria.
4.1 Game theory
Game theory models strategic interaction. A Nash equilibrium holds when no player can improve their payoff by deviating unilaterally.
What characterises a public good?
Chapter 3 in conversation
Dialogue · Microeconomics II
Public goods
Lecture 8
Public goods are characterised by non-excludability and non-rivalry. No user can be excluded from consumption. This yields the free-rider problem: individuals consume the good without paying. The market therefore provides less than the socially optimal quantity.
Summary chapter 7
AIPublic goods
Definition: non-excludable, non-rival 7
Problem: free riders, underprovision 9
Response: public provision, taxation 12
Explain how a Pigouvian tax restores the welfare-optimal quantity q* under a negative externality.
Your answer
The tax raises private marginal cost to the social level, so the quantity falls from qₘ to q*.
What went well
Effect of the tax on marginal cost explained correctly.
Where you can improve
Still tie the size of the tax to the marginal external cost.
Next up
Podcast: Monopoly
Everything you need to study
Flashcards, exercises, summaries and AI tutor work as one and grow with you.
No switching between apps, nothing scattered.
Practice with instant feedback
Create realistic exams from your lectures and instantly see where you need improvement.
Mitochondrial Function and Energy Production
Explain the process of cellular respiration and describe the role of mitochondria in ATP production.
Your answer:
Cellular respiration is how cells make energy. The mitochondria breaks down glucose and creates ATP, which is used as energy for the cell.
Your Personal Feedback
What you did right:
You correctly identified mitochondria as the site of ATP production
You recognized glucose as the primary substrate
Where you can improve:
Your answer should include the three main stages: glycolysis, Krebs cycle, and electron transport chain
Consider mentioning the role of oxygen and the production of CO₂ and H₂O as byproducts
Additional Info:
Review page 24 of your lecture material for the complete cellular respiration pathway
Biology
Molecule that stores DNA?
Molecule that stores DNA?
Chromosome
History
When did WWII end?
When did WWII end?
September 2, 1945
Physics
Newton's First Law?
Newton's First Law?
Object at rest stays at rest
Learn with spaced repetition
Flashcards build themselves from your materials, with review that adapts to your mistakes.
Spot your weak spots early
Learn visually with mind maps and see exactly where you're struggling.
Understand concepts in minutes
Get clear, structured summaries of your course content and stay on top of everything.
This lecture introduces fundamental concepts in graph theory, covering definitions, common graph types, isomorphism, subgraphs, weighted graphs, adjacency matrices, connectivity, matching problems, coloring, paths, cycles, and planar graphs.
Learning Objectives:
Define basic graph terminology: vertices, edges, simple graphs, degree, adjacency, and incidence.
Apply Hall's Matching Theorem to determine the existence of a matching in a bipartite graph.
Key Concepts
Graph: A structure consisting of a set of vertices (nodes) and a set of edges connecting pairs of vertices.
Simple Graph: A graph with no self-loops, no multiple edges between the same two vertices, and no directed edges. Defined as G = (V, E).
Adjacent Vertices: Two vertices are adjacent if they are joined by an edge.
Chat with your documents
Explanations with the exact source from your materials, down to the page.
Daily Quiz
Learning as a habit
Learn regularly with short quizzes to stay on track and track your progress with XP and streaks.
Backed by research
Learning that measurably works.
acemate grew out of educational research. In an independent study, students using acemate performed measurably better, most of all those who had struggled with the subject before.
+8.6%
better exam results with acemate
Voices
What students say about acemate
The exam phase is much more relaxed now thanks to your practice exams and chatbot.
Christopher, Political Science
Start learning with your own materials today.
Upload your slides and notes and acemate builds your personal learning path from them. Free, in just a few minutes.