校際選修

115-1 選課時程

進行中

  • 初選第一階段 6/15/2026
  • 初選第二階段 6/22/2026
  • 校際選修 8/24/2026
  • 初選第三階段 8/31/2026
  • 開學後加退選 9/7/2026
  • 逾期加退選 9/21/2026
選課資源

工程數學

Engineering Mathematics

學期
114-2
學分
3 學分
當期課號
410033
永久課號
BTBT10063
開課單位
生物科技學系
授課教師
李孟學
校區
博愛
類別
必修
上課時間表
週三
5
13:20–14:10
工程數學
BI302
3 節連堂
6
14:20–15:10
7
15:30–16:20

* 根據陽明交大上課時間表所列

概述

Engineering mathematics serves as an indispensable toolset in the realm of biomedical sciences. This course includes ordinary differential equations (ODEs), Fourier analysis, numeric analysis, probability theory, and mathematical statistics. 1. Ordinary Differential Equations (ODEs) ODEs model dynamic processes in biology, such as neural conduction and drug metabolism, aiding in understanding system stability and response dynamics. 2. Fourier Analysis Used for processing biological signals like ECGs and EEGs, Fourier analysis helps identify signal periodicity and frequency distribution, crucial in signal enhancement and medical imaging. 3. Numeric Analysis Numeric methods simulate complex biological dynamics and process signal and image data, offering solutions for filtering signals and enhancing medical images. 4. Probability, Statistics Statistical methods inform clinical trial design, analyze disease epidemiology, and evaluate diagnostic test accuracy, vital for bioinformatics in genomic and protein data analysis. This course enables students to understand and learn the mathematical knowledge required in the field of biomedical sciences, encompassing modeling, signal processing, and statistical analysis.

先修科目

Calculus

評分方式

Attendance Grade: 10% Homework: 30% Midterm I + Correction bonus: 20% Midterm II + Correction bonus: 20% Final: 20%

週次計畫
週次主題
第 1 週Introduction
第 2 週Ordinary Differential Equations (ODEs) - First-Order ODE
第 3 週Second-Order Linear ODEs
第 4 週Higher Order Linear ODEs
第 5 週Systems of ODEs. Phase Plane. Qualitative Methods
第 6 週Midterm I
第 7 週Series Solutions of ODEs. Special Functions
第 8 週Laplace Transforms
第 9 週Fourier Analysis I
第 10 週Fourier Analysis II
第 11 週Midterm II
第 12 週Numeric Analysis - Numerics in General
第 13 週Numeric Analysis - Numerics for ODEs
第 14 週Probability, Statistics - Data Analysis. Probability Theory
第 15 週Probability, Statistics - Mathematical Statistics
第 16 週Final
教科書

"Advanced Engineering Mathematics" by Erwin Kreyszig, 10th Ed., John Wiley & Sons, 2011.

Office Hours
地點
BI615
聯絡方式
mslee@nycu.edu.tw