Research activity on the centralized lesson preparation teaching method of "Calculation of Triple Integrals"
On May 6, 2023, all the teachers of the advanced mathematics course group of the 306 Mathematics Teaching and Research Section in the south of Building 0 conducted a m88 online bettingm88 live casino and sports m88 online bettingbettingconcentrated lesson preparation activity on the lesson "Calculation of Triple Integrals",And had a lively discussion。
First,Let’s discuss together,Determined the introduction of triple integrals、Definition, properties, etc.。
Secondly,For the calculation of triple integrals,This section will be divided into two parts,Part of it is to calculate the triple integral using the rectangular coordinate system;The other part is to calculate the triple integral using the cylindrical coordinate system。Using the rectangular coordinate system to calculate triple integrals often uses the projection method, that is, the first one and then the second method,The operation of converting a triple integral into a definite integral and a double integral。If the triple integral has the following characteristics: m88 online bettingm88 live casino and sports bettingjWhen the integrand is a single variable function, And use the coordinate axis perpendicular to the variable to pass through the plane to get the area of the cross section that is easy to find;k integrand contains
, use parallel toxoyWhen the cross section obtained by passing through the surface is a circular domain, the parallel section method can be used for integral calculation。
When calculating triple integral using cylindrical coordinate system,You must first understand the interchange between rectangular coordinates and cylindrical coordinates,Secondly, the triple integral calculated in the cylindrical coordinate system is suitable for the simple equation when the surface of the j integral domain m88 online bettingis expressed in cylindrical coordinates;Apply when the k integrand is expressed in cylindrical m88 online bettingm88 live casino and sports bettingcoordinates and the function is simple。
final,Integral region abstraction due to triple integral,The existence of students will not be limited,Problems such as calculation difficulties,New teacher Liu Xuemei、Teacher Guo Nini asked other excellent teachers for advice on the difficulties she encountered in the course,Teacher Li Ni, Director of the Teaching and Research Section、Li Anping、Yang Youshe、Teacher Zhang Hua’s teaching content、Proposed effective methods in classroom management and other aspects,Let’s learn from each other’s strengths、Benefited a lot,It will be of great help to further improve the teaching methods and teaching quality of higher mathematics。