Calculus

Instructions

1. State dimensions for vector and matrix derivatives.
2. Separate method-selection errors from algebra errors.

Ordered items

1. Single-variable calculus foundation checkCalculus · Easy · 24 min · External
2. Gradient, tangent plane, linearization, and directional derivativeCalculus · Easy · 12 min · External
3. Jacobian and chain ruleCalculus · Medium · 10 min · Original
4. Critical points and constrained domain boundariesCalculus · Medium · 14 min · External
5. Multivariable chain rule under a change of variablesCalculus · Medium · 10 min · External
6. Lagrange multiplier equations and tangent geometryCalculus · Medium · 10 min · External
7. Total differentials and implicit differentiationCalculus · Medium · 10 min · External
8. Matrix gradient and HessianCalculus · Medium · 10 min · Original

Completion

Derive gradients, Jacobians, Hessians, and constrained first-order conditions without relying on source notation.

Next

• Probability