Calculus
Explore the fundamental concepts of calculus through interactive visualizations
Why Calculus Matters
Calculus enables you to model and analyze how things change, laying the groundwork for advances in physics, engineering, economics, and data science.
- Analyze motion and forces in physics
- Optimize functions in engineering and economics
- Model growth and change in data science
Introduction to 3D Functions
A function of two variables, f(x,y), can be visualized as a surface in three-dimensional space. For each point (x,y) in the domain, the function outputs a value z = f(x,y), creating a point (x,y,z) on the surface.
These surfaces help us understand concepts such as:
- Partial derivatives and the gradient vector
- Local extrema and saddle points
- Double integrals and volume calculations
The interactive visualizer allows you to explore different 3D functions by rotating, zooming, and changing the equation.
Select Function
Visualization Type
Mathematical Expression
Math.sin(x) * Math.cos(y)
Custom Function
Enter your own function using JavaScript syntax with variables x and y.
Interactive 3D Visualization
Drag to rotate • Scroll to zoom • Shift+drag to pan
Learn More About Calculus
Differentiation
Explore derivatives, rates of change, and tangent lines.
Integration
Learn about integrals, areas under curves, and the fundamental theorem.
Series & Sequences
Discover infinite series, convergence, and power series expansions.