| Ideal Level of Achievement | High Level of Achievement | Standard Level of Achievement | Unacceptable Level of Achievement) |
1: Understand vector inner product / cross product. | Master the inner/cross product of vectors, recognize it as a spatial expression method and explain the correlation | Master the inner/cross product of vectors and recognize it as a space expression method. | Calculate simple inner/cross product of a vector. | It is impossible to calculate simple vector inner/cross product. |
2: A graphic can be expressed using a vectors. | Arbitrary figures in three-dimensional space can be represented by vector product, linear combination, etc. | Arbitrary figures in two-dimensional space can be represented by vector product, linear combination, etc. | Derive vector expressions representing representative figures. | It is impossible to derive vector expressions representing representative figures. |
3: Vector operator can be calculated. | Being able to calculate the vector operator, explain the mathematical meaning indicated by the obtained results. | Understand about vector operators and It is possible to calculate vector operators. | Calculate vector operators. | It is impossible to calculate vector operators. |
4: Understand differentiate and integrate vectors. | Explain that the result of vector differentiation / integration is linked to physical phenomenon. | It is possible to calculate differential/integral of vector and linked to physical phenomenon. | Calculate differential/integral of a vector. | It is impossible to calculate differential/integral of vector. |
5: Understand the vector integral formulas. | Explain the phenomenon by combining Green's theorem, Stokes 'theorem, and Gauss' divergence theorem with fluid dynamics and electromagnetism. | Explain Green's theorem, Stokes 'theorem, and Gauss' divergence theorem. | Calculate Green's theorem, Stokes' theorem, and Gauss' divergence theorem. | It is impossible to calculate Green's theorem, Stokes 'theorem, and Gauss' divergence theorem. |
6: Understand the correspondence between matrix and coordinate transformation. | Understand matrices and linear transformations.
Use coordinate transformation
Explain the direction cosine | Understand matrices and linear transformations.
Use coordinate transformation. | Calculate coordinate transformation with matrix calculations. | It is impossible to calculate coordinate transformation by matrix calculation. |
7: Understand the relationship between eigenvalues and eigenvectors. | Understand the solution of the eigen equation and derive eigenvalues and eigenvectors. | It is possible to derive and solve the eigen equations and calculate the eigen values. | Solve the Eigenvalue equations and calculate the eigenvalues. | It is impossible to solve the eigen equations and calculate the eigen values. |