Math With AmarA C A D E M Y
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100 guided animations · 10 topic units · Free to explore

Undergraduate mathematics,
one moving idea at a time.

Make a prediction, change a value, and explain the result. Work through each unit in order or choose the topic you want to understand today. Every investigation has controls, a worked explanation, and a question to test your reasoning.

Start investigation 1Browse all 100Read the Undergraduate lessons

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Ten topics. Ten investigations in each.

  1. UNIT 1

    Orthogonal projections

    Investigations 1–10

  2. UNIT 2

    Diagonal eigenmodes

    Investigations 11–20

  3. UNIT 3

    Matrix conditioning

    Investigations 21–30

  4. UNIT 4

    Directional derivatives

    Investigations 31–40

  5. UNIT 5

    Logistic differential equations

    Investigations 41–50

  6. UNIT 6

    Harmonic oscillators

    Investigations 51–60

  7. UNIT 7

    Euler stability

    Investigations 61–70

  8. UNIT 8

    Newton root iteration

    Investigations 71–80

  9. UNIT 9

    Two-state Markov chains

    Investigations 81–90

  10. UNIT 10

    Uniform convolution

    Investigations 91–100

Related investigations use the same mathematical model with different questions and starting values. Reset restores the values used in that investigation’s worked answer. Read its assumptions before applying a model to a new situation.

Explore the Undergraduate collection.

100 animations · Showing 1–20