Interactive Demo
The Geometry of Accumulation
The Geometry of Accumulation is a free, interactive learning demo from the Calculus I: Single Variable Calculus course on Lykke. It helps you build intuition for Integration, Fundamental Theorem of Calculus, Accumulation Functions, Area Under a Curve. Play with it directly in your browser — it features 2 sliders, 2 dropdowns and a live visual canvas. This demo lives in the “Part 2: Integration” section of the course.
How to use this demo
- Drag the “Function f(x)”, “Partitions (n) 10”, “Method” sliders to change the inputs and watch the result update live.
- Pick an option from the dropdown to switch between scenarios.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Integration
- Fundamental Theorem of Calculus
- Accumulation Functions
- Area Under a Curve
Frequently asked questions
What does the The Geometry of Accumulation demo do?
Covers the principles of integration, focusing on accumulation and the area under curves. The Geometry of Accumulation turns that idea into something you can manipulate directly and watch respond.
What Calculus I: Single Variable Calculus concept does The Geometry of Accumulation teach?
Covers the principles of integration, focusing on accumulation and the area under curves. It focuses on Integration, Fundamental Theorem of Calculus, Accumulation Functions, Area Under a Curve from the “Part 2: Integration” section.
What can I control in The Geometry of Accumulation?
The “Function f(x)”, “Partitions (n) 10”, “Method” sliders change the key inputs; a dropdown switches between scenarios. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does The Geometry of Accumulation fit into the Calculus I: Single Variable Calculus course?
Calculus I: Single Variable Calculus is a comprehensive three-part series designed to bridge the gap between abstract mathematical notation and real-world applications. Led by Professor Gigliola Staffilani of MIT, the c… This demo is the interactive piece for the “Part 2: Integration” section. Open the full Calculus I: Single Variable Calculus course wiki at https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc for notes, flashcards, quizzes and the other demos.
What will I understand better after using The Geometry of Accumulation?
You'll build intuition for Integration, Fundamental Theorem of Calculus, Accumulation Functions, Area Under a Curve — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Calculus I: Single Variable Calculus alone.
From the Calculus I: Single Variable Calculus course
This interactive demo is part of the Part 2: Integration section. Explore the full Calculus I: Single Variable Calculus course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Calculus I: Single Variable Calculus course →