Calculus
Explore change, accumulation and approximation through single-variable calculus.
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Partial derivatives
A partial derivative varies one coordinate while holding the others fixed.
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Gradient
In Euclidean coordinates, partial derivatives form a vector describing directional change.
Method of characteristics
Characteristic curves reduce suitable first-order PDEs to equations along paths.
Multivariable functions
A multivariable function assigns an output to a tuple of inputs in its domain.
Partial differential equations
A PDE relates a multivariable unknown function to its partial derivatives.
Total differential
Differentiability gives a linear first-order approximation in all input directions.
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- Partial differential equations · Related · Map context
- Method of characteristics · Related · Map context
- Partial differential equations · Next concept · Map context
- Multivariable functions · Related · Map context
- Total differential · Related · Map context
- Gradient · Next concept · Map context
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Partial Differential Equations
Explore equations and data; model equations; weak solutions and discretization. Concepts and connections are available independently of video coverage.