I、Biomedical materials and detection technology：

1. Matter wave in high-speed electron (de Broglie wavelength)

2. Dielectric permittivity in linear dielectrics, ferroelectrics, and antiferroelectrics.

3. Diffusion behavior in material

4. Atomic bonding in semiconducting compounds

5. Identification of crystal structure (symmetry) by X-ray diffraction pattern and selected-area electron diffraction pattern

6. Calculation of Structure factor F_hkl for metals

II、Biotechnology：

1. Gene Engineering: Central dogma of molecular biology, Cloning and expression: restricted enzyme, ligation, selection, expression,Recombination

2. Microorganism Engineering:Stran identification/ selection, Plasmid& Vector, Genetic modification

3. Cell Engineering: Cell fusion, Organelle replacement/ transplantation, Knock in, knock out, transgenic, Cell culture

4. Fermentation: Host, Parameters,Optimization

5. Application: Agriculture, Medicine (diagnosis, therapy),Forensic,Industry,Environment,Food

IV、Biomedical Information Science：

1. What are discrete optimization problems?

2. Some theory and flow diagram about

• Genetic algorithm (GA): Three different encoding schemes, the rank selection

• Particle swarm optimization (PSO)
  
• Artificial Bee Colony (ABS):  Bees are assigned three distinct roles and specific responsibilities

• Differential Evolution (DE):  The common mutation strategies

3. The different between DE and GA

4.Image Compression Methods: Huffman coding, Arithmetic coding, Run-length coding, Embedded zerotree wavelet algorithm (EZW)

Requirement: the steps of these approaches; encode/decode with these methods, working conditions for these methods; examples to show the coding;

5. Edge Detectors:

• First-order derivative: Roberts (2x2), Prewitt (3x3), Sobel (3x3)
• Second-order derivative: Laplacian (3x3), Double edge, Zero-crossing

Requirement: differences between First-order and Second-order derivative; explain these approaches with figure;

6. Erosion and Dilationt: the purposes of these approaches; explain these approaches with figure; the steps of these approaches;

7. SVD (Singular Value Decomposition): the principle and purposes of the approach; example to illustrate the method;

8. FCM (Fuzzy C-Means Clustering): the principle of the approach; explain the formula; the procedure of the FCM, the difference between FCM and k-means; comparisons of these two approaches;

It would be better to explain FCM by minimizing the objective function.  

V、Medical engineering：

1. Take a medical device as an example to describe the development process.