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 Matlab/Python, Solve an equation for one variable.
Week 2 Solve an equation for one variable.
Week 3 Interpolation and Approximation Theory of Polynomials: Lagrange, Hermite, cubic spline
Week 4 Interpolation and Approximation Theory of Polynomials: Lagrange, Hermite, cubic spline
Week 5 Numerical differentiation and integration
Week 6 Numerical differentiation and integration
Week 7 Matrix computation
Week 8 Matrix computation & Midterm Exam
Week 9 Matrix computation
Week 10 Solve linear system of equations.
Week 11 Solve linear system of equations.
Week 12 Solving differential equations
Week 13 Solving differential equations
Week 14 Matrix and Data Analysis
Week 15 Matrix and Data Analysis
Week 16 Matrix and Data Analysis & Final Exam
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 respect gender equality.
Update Date, year/month/day:2025/02/03 06:33:14 Printed Date, year/month/day:2025 / 2 / 12
The second-hand book website:http://www.myub.com.tw/