| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| Differentiation and Integration for multivariable functions |
| 1.Solid foundations on fundamental scientific and professional chemical engineering knowledge. |
| 3.Proficiency of analyzing problems and identifying key points with rigorous logic. |
|
|
|
| Attendance |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Limits and continuity for multivariable functions |
| Week 2 |
Partial derivatives |
| Week 3 |
Total derivatives |
| Week 4 |
Tangent planes and linear approximations |
| Week 5 |
The Chain rules |
| Week 6 |
Directional derivatives and Gradient vector |
| Week 7 |
Optimization problems and Lagrange multipliers |
| Week 8 |
Midterm Exam (Differentiation of multivariable functions ) |
| Week 9 |
Double integrals over rectangles |
| Week 10 |
Double integrals over general regions |
| Week 11 |
Double integral in polar coordinates |
| Week 12 |
Triple integrals over general regions |
| Week 13 |
Triple integrals in Cylindrical coordinates, and in Spherical coordinates |
| Week 14 |
Change of variables in multiple integrals |
| Week 15 |
Applications of double and triple integrals |
| Week 16 |
Final Exam (Integration of multivariable functions ) |
self-directed
learning |
01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.
02.Viewing multimedia materials related to industry and academia.
|
|
| Evaluation |
|
| Textbook & other References |
|
| Teaching Aids & Teacher's Website |
| Calculus, Metric version 9E; James Stewart, Daniel Clegg, Saleem Watson |
| Office Hours |
| 47 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|