| Actual Problems | Disciplines Involved | Mathematical Knowledge Areas Involved |
| Velocity (Speed Problems) | Physics | Definition of Derivative |
| Minimum Value Problems in Engineering Accounting | Engineering, Management | Application of Derivative |
| Work Done by Variable Force | Physics | Application of Definite Integral |
| Detection of Cultural Relic Types | Chemistry | Application of Definite Integral |
| Deformation Problems of Cultural Relics | Mechanics | Function Series |
| Calculation of Torque | Machinery | Dot Product and Cross Product of Vectors |
| Trajectory Problems of Transmission Rods | Machinery | Parametric Equations |
| Calculation of Earthwork Volume | Civil Engineering | Definition of Double Integral |
| Heat Transfer Problems | Mining | Differential Equations |