chapter essence

Pick anything below and it plays in the bar at the foot of the window — and keeps playing while you go on browsing the directory.

1. 1▶A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebraEssence of linear algebraNotes
   +Watch later
2. 2▶Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebraEssence of linear algebraNotes
   +Watch later
3. 3▶The other way to visualize derivatives | Chapter 12, Essence of calculusEssence of calculusNotes
   +Watch later
4. 4▶Taylor series | Chapter 11, Essence of calculusEssence of calculusNotes
   +Watch later
5. 5▶Higher order derivatives | Chapter 10, Essence of calculusEssence of calculusNotes
   +Watch later
6. 6▶What does area have to do with slope? | Chapter 9, Essence of calculusEssence of calculusNotes
   +Watch later
7. 7▶Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculusEssence of calculusNotes
   +Watch later
8. 8▶Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculusEssence of calculusNotes
   +Watch later
9. 9▶Implicit differentiation, what's going on here? | Chapter 6, Essence of calculusEssence of calculusNotes
   +Watch later
10. 10▶What's so special about Euler's number e? | Chapter 5, Essence of calculusEssence of calculusNotes
    +Watch later
11. 11▶Visualizing the chain rule and product rule | Chapter 4, Essence of calculusEssence of calculusNotes
    +Watch later
12. 12▶Derivative formulas through geometry | Chapter 3, Essence of calculusEssence of calculusNotes
    +Watch later
13. 13▶Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
14. 14▶Change of basis | Chapter 13, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
15. 15▶Cross products | Chapter 10, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
16. 16▶Cross products in the light of linear transformations | Chapter 11, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
17. 17▶Dot products and duality | Chapter 9, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
18. 18▶Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
19. 19▶Inverse matrices, column space and null space | Chapter 7, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
20. 20▶The determinant | Chapter 6, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
21. 21▶Three-dimensional linear transformations | Chapter 5, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
22. 22▶Matrix multiplication as composition | Chapter 4, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
23. 23▶Linear transformations and matrices | Chapter 3, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
24. 24▶Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebraEssence of linear algebraNotes
    +Watch later
25. 25▶Vectors | Chapter 1, Essence of linear algebraEssence of linear algebraNotes
    +Watch later