| 92年6月11日 08:30~10:00 醫工系 | 誠實是我們珍視的美德， 我們喜愛「拒絕作弊，堅守正直」的你！ |
| 科目：訊號與系統 | (共1頁第1頁) |
| [1] | If you were facing an outbreak of new epidemic like SARS, how would you establish a mathematical model to predict the progress of epidemic? (10% for each following question) | |
| (a) | Predict and draw a curve to show the percentage of infected population as a function of time if the government do nothing to control the spread of disease. Make a list of factors that should be included to develop a mathematical model. | |
| (b) | Derive a simple mathematical model that includes the major factors to simulate the outbreak? Make a list and explain the inputs and outputs that you choose for the model. | |
| (c) | Describe how you can get the reasonable model coefficients from the real world. | |
| (d) | What kinds of information can be provided by such a model to help the decision of disease control? | |
| (e) | Draw some predicted simulation results to show how different strategies of disease control will affect the progress of epidemic. | |
| [2] | From the dynamic system point of view, the mechanical, electrical, thermal, and fluid systems are generally treated the same. (25%) | |
| (a) | Explain that under what conditions they can be modeled using the same mathematics? | |
| (b) | What common mathematical procedures are generally used by engineers in different fields to simulate these dynamic systems? | |
| [3] | The impulse, step, and frequency responses are frequently used to study a physical system. (25%) | |
| (a) | When should they be performed, and what kinds of system characteristics can be quantified by these tests? | |
| (b) | Since a signal can be easily transformed from time-domain
to frequency-domain, and vice versa, describe the advantages and disadvantages
of using one instead of the other in the real engineering practice. |
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