Summary
Vectorcalculus
Thomas Schrier
24-10-2022
, Inhoud
Disclaimer...............................................................................................................................................2
Definite integrals....................................................................................................................................3
Line integrals of functions......................................................................................................................3
Line integrals of vector fields..................................................................................................................3
Surface integrals.....................................................................................................................................4
Conservative vector fields......................................................................................................................5
Curl.........................................................................................................................................................6
Divergence..............................................................................................................................................6
Green’s theorem....................................................................................................................................7
Circulation..........................................................................................................................................7
Flux.....................................................................................................................................................7
Stokes’ theorem.....................................................................................................................................7
Gauss’ theorem......................................................................................................................................7
Other useful information........................................................................................................................7
Doubling formulas..............................................................................................................................7
Differentiation rules............................................................................................................................8
Primitive rules.....................................................................................................................................8
Jacobians............................................................................................................................................8
Vectorcalculus
Thomas Schrier
24-10-2022
, Inhoud
Disclaimer...............................................................................................................................................2
Definite integrals....................................................................................................................................3
Line integrals of functions......................................................................................................................3
Line integrals of vector fields..................................................................................................................3
Surface integrals.....................................................................................................................................4
Conservative vector fields......................................................................................................................5
Curl.........................................................................................................................................................6
Divergence..............................................................................................................................................6
Green’s theorem....................................................................................................................................7
Circulation..........................................................................................................................................7
Flux.....................................................................................................................................................7
Stokes’ theorem.....................................................................................................................................7
Gauss’ theorem......................................................................................................................................7
Other useful information........................................................................................................................7
Doubling formulas..............................................................................................................................7
Differentiation rules............................................................................................................................8
Primitive rules.....................................................................................................................................8
Jacobians............................................................................................................................................8