課程資訊

Mathematics for Biomedical Engineering (1)

101-1

Biomed7031

548 M0551

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1011Biomed7031

A major challenge in biomedical engineering is the immense scope of biomedically relevant problems, which range from the molecular scale to the macroscopic scale. Bioengineering problems can be effectively treated through the use of the modeling techniques and mathematical tools. Therefore, mathematics is the basic requirement in biomedical engineering.

1. Chap. 0: Review of calculus and mathematical modeling.
2. Chap. 1: First order differential equations
3. Chap. 2: Linear second order differential equations
4. Chap. 3: The Laplace transform
5. Chap. 4: Series solution of ODE.
6. Chap. 15: Fourier analysis

1. O’Neil “Advanced Engineering Mathematics” 6th ed. 2006.

Office Hours

(僅供參考)

 No. 項目 百分比 說明 1. 第一次期中考 30% 2. 第二次期中考 30% 3. 期末考 40%

 課程進度
 週次 日期 單元主題 第1週 9/10 Preliminary Concepts(核心能力二,核心能力四) 第2週 9/17 Preliminary Concepts(核心能力二,核心能力四) 第3週 9/24 Separable Equations(核心能力二,核心能力四) 第4週 10/01 Linear differential equation,Exact differential equation(核心能力二,核心能力四) 第5週 10/08 Exact differential equation ,Integrating,Homogeneous equation(核心能力二,核心能力四) 第6週 10/15 Bernoulli equation,Riccati equation,application of frist order differential equation(核心能力二,核心能力四) 第7週 10/22 second order differential equation,Homogeneous equation(核心能力二,核心能力四) 第8週 10/29 期中考(核心能力二,核心能力四) 第9週 11/05 The Nonhomogeneous Equation-Variation of Parameters, The Method of Undetermined Coefficient(核心能力二,核心能力四) 第10週 11/12 Application of Second-Order Differential Equations to a Mechanical System: Spring Motion, Euler’s Equation(核心能力二,核心能力四) 第11週 11/19 Bessel Functions,Power Series Solutions I(核心能力二,核心能力四) 第12週 11/26 Power Series Solutions II,Frobenius Solutions(核心能力二,核心能力四) 第13週 12/03 The laplace transform-difinition and notation；solution of initial problems(核心能力二,核心能力四) 第14週 12/10 The laplace transform-shifting and the heaviside function(核心能力二,核心能力四) 第15週 12/17 The laplace transform-convolution；impulses and the functon(核心能力二,核心能力四) 第16週 12/24 The laplace transform-solution of systems；polynomial coefficient(核心能力二,核心能力四) 第17週 12/31 Vectors and Vector Spaces,Matrices and Linear Systems(核心能力二,核心能力四)