NCHU Course Outline
Course Name (中) 數值分析(一)(3306)
(Eng.) Numerical Analysis (I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher SHIH YIN TZER
Department Department of Applied Mathematics/Undergraduate Language 中/英文 Semester 2025-SPRING
Course Description 培養學生數學分析以及程式軟體設計能力,作為大數據及人工智慧(AI)研究發展的基礎。
Cultivate students' mathematical analysis and software design capabilities as the basis for the research and development of big data and artificial intelligence (AI).
Prerequisites
self-directed learning in the course Y
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
讓學生了解數值分析所涵蓋的基本內容,做為日後計算科學或數據科學應用的工具或研究的基礎。
To enable students to understand the basic contents of numerical analysis as a tool or basis for research in future computational science or data science applications.
Exercises
Lecturing
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 基本Matlab/Python教學。
Week 2 求解一個變數的方程式。
Week 3 求解一個變數的方程式。
Week 4 內插與多項式的近似理.論,含:Lagrange多項式,除差分,Hermite內插,cubic spline內插。
Week 5 內插與多項式的近似理.論,含:Lagrange多項式,除差分,Hermite內插,cubic spline內插。
Week 6 內插與多項式的近似理.論,含:Lagrange多項式,除差分,Hermite內插,cubic spline內插。
Week 7 數值微分與積分。Numerical Differential
Week 8 數值微分與積分。
Week 9 數值微分與積分。
Week 10 解線性聯立方程組。Solve linear systems of equations (I)
Week 11 解線性聯立方程組。Solve linear systems of equations (II).
Week 12 解線性聯立方程組。Solve linear systems of equations (III).
Week 13 解線性聯立方程組。Solve linear systems of equations (IV).
Week 14 解微分方程問題。Numerical ODE (I).
Week 15 解微分方程問題。Numerical ODE (II).
Week 16 期末考、總複習 Final exams.
Week 17
Week 18
Evaluation
期中考(30%),期末考(30%),作業(40%)
Midterm (30%), Final exam (30%), Homework (40%)
Textbook & other References
1.R.L. Bunder and J.D.Faires, Numerical Analsis, 9nd ed., Brooks/Cole, Cengage Learning, Boston, 2011. ISBN-13: 978-0-538-73351-9.
2.Jaan Kiusalaas, Numerical Methods in Engineering with Python, Cambridge University Press, New York, 2005. ISBN-13: 978-0-511-12810-3.
3. Cleve Moler, Numerical Computing with MATLAB, 2004, SIAM. (電子檔可以下載 ww.mathworks.com/moler.)
Teaching Aids & Teacher's Website
Python 教學錄影網頁 https://www.pitt.edu/~naraehan/python3/getting_started_mac_first_try.html
Office Hours
15
Sustainable Development Goals, SDGs
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please repsect gender equality.
Update Date, year/month/day:2025/01/18 06:18:51 Printed Date, year/month/day:2025 / 1 / 22
The second-hand book website:http://www.myub.com.tw/