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Biological process simulation and optimization Final exam, 2007 (Open book)

Teacher: Youngil Lim (N110) Student number:______________________

Please answer the questions in detail !!!

1. Explain the following questions (30).

1) Present value, future value and their relationship in the time value of money

2) Necessary and sufficient conditions for a minimum of an unconstrained function. Please explain them with an example.

3) For the minimization problem of a quadratic objective function, what are positive-definite, convexity and local/global minimum?

2. Find the model parameters (k1 and k2) of the problem 6.41 in page 218 (35).

1) formulate this minimization problem

2) solve the optimization problem and visualize it using Matlab or any others.

3) analyze the problem.

3. Solve the nonlinear optimization problem 6.48 in page 220 (35).

1) describe your solving procedure.

2) solve the optimization problem and visualize it using Matlab or any others.

3) analyze the problem.

4. What does the teacher improve in this lecture? Please write down your opinions on lecture contents, lecture skills, lecture manner, etc. (5) ?

1

(2)

Biological process simulation and optimization Final exam, 2007 (Open book)

Teacher: Youngil Lim (N110) Student number:______________________

Homework of ch. 6 6.26, 6.41, and 6.48

Two of the three problems are the examination problem.

2

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