Interactive lab¶
Here you can get your hands on mathematics. Each graph has sliders: every coefficient has its own color, the same in the slider and in the formula, so you immediately see what does what. The ▶ button next to a coefficient makes it move by itself; in some graphs the Challenge tab shows a target curve to reproduce.
How to use it
Drag the sliders, or click ▶ for the animation. On the graph you can pan by dragging with two fingers (or with the mouse) and zoom with Shift + mouse wheel. Each graph also appears in the chapter of the notes it refers to.
Numbers¶
The chapter: Complex numbers.
Functions¶
The chapter: Graph transformations.
The chapter: Oscillations.
The chapter: Power functions.
The chapter: Exponential and logarithmic functions.
Limits¶
The chapter: Sequences and limits of sequences.
The chapter: Recursively defined sequences.
The chapter: Zeros theorem and bisection method.
Derivatives¶
The chapter: The derivative.
The chapter: Mean value theorem, maxima and minima.
The chapter: Second derivative.
The chapter: Differential calculus and approximations.
The chapter: Newton's method.
Series¶
The chapter: Numerical series.
The chapter: Series with non-negative terms.
Integrals¶
The exercises: Antiderivatives · Integrals.