| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| n addition to the methods and calculations of differential and integral, the focus of this course is on the understanding of basic concepts. For example, the mean value theorem, the extreme value theorem, etc. These theorems not only have their own application value, but also have very important mathematical meanings behind them. Knowing these ideas, we can not only generalize and apply these theorems, but also, when we are faced with more complex problems, use these basic mathematical ideas as a basis or as an analogy for the initial heuristics of solving problems. |
| 1.Fundamental knowledge of Physics, Chemistry, Mathematics and Biology. |
| 2.Capability of experimental planning and execution, problem-analyzing and data-interpreting. |
| 3.Professional engineering knowledge and application skills for solving environmental pollution problems and promoting sustainable development. |
| 4.Capability of environmental engineering design. |
| 6.Capability of independent-thinking, innovation and problem-solving. |
|
|
| Exercises |
| Discussion |
| Lecturing |
| Networking / Distance Education |
|
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Functions and infinity |
| Week 2 |
3 Rules for determining limits |
| Week 3 |
Continueous functions and slopes |
| Week 4 |
Derivatives from geometry and arithmetic principle on derivatives |
| Week 5 |
The chain rule on derivatives |
| Week 6 |
Exponential functions and its inverses |
| Week 7 |
Linear approximations and its applications |
| Week 8 |
Mid exam |
| Week 9 |
Finding extreme values and mean value theorem |
| Week 10 |
Drawing the graph of a function and applications of derivatives |
| Week 11 |
Antiderivatives and area of a region |
| Week 12 |
Definite integrals |
| Week 13 |
Fundamental theorem of calculus |
| Week 14 |
Indefinite integrals and changing variables |
| Week 15 |
Area between closed curves and volume by integrals |
| Week 16 |
Final exam
|
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
|
|
| Evaluation |
1. Mid exam 35%;
2. Final exam 35%;
3. Exercises and tests 30% |
| Textbook & other References |
| Textbook: Calculus, Metric Version 9E、Stewart, Clegg, Watson |
| Teaching Aids & Teacher's Website |
| PPTs and videos via ilearning |
| Office Hours |
| 13:00-14:00 Mon. |