NCHU Course Outline

Course Name	(中) 向量微積分(2208)
	(Eng.) Vector Calculus
Offering Dept	Department of Applied Mathematics (Data Science and Computing Program)
Course Type	Required			Credits	3	Teacher	WANG YA SHU
Department	Department of Applied Mathematics (Data Science and Computing Program) / Undergraduate			Language	Chinese	英文/EMI		Semester	2025-FALL
Course Description	此課程主要是介紹R^n空間上的向量值函數及其微積分的理論、計算與應用。
Prerequisites	線性代數(二),微積分(一),線性代數(一),微積分(二)							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
建立大學生對向量值函數及其微積分理論與計算之基礎，進而能學習更高等的知識。	1.Basic Knowledge in Mathematical Sciences 2.Professional Knowledge in Mathematical Analysis	30 70	Lecturing	Assignment Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content Week 1 limits Week 2 differentiation Week 3 differentiation Week 4 high order derivatives Week 5 high order derivatives Week 6 high order derivatives midterm Week 7 vector valued functions Week 8 vector valued functions Week 9 vector valued functions Week 10 double and triple integrals Week 11 double and triple integrals midterm Week 12 integrals over paths and surfaces Week 13 integrals over paths and surfaces Week 14 integrals over paths and surfaces Week 15 the integral theorems of vector analysis Week 16 the integral theorems of vector analysis final exam 自主學習：檢視期末試卷 self-directed learning
Evaluation
期中考-30*2; 期末考-40%;
Textbook & other References
Vector Calculus, 6th Edition, by J. E. Marsden and A. J. Tromba.
Teaching Aids & Teacher's Website
Office Hours
38, 456
Sustainable Development Goals, SDGs(Link URL)
include experience courses：N

Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day：None	Printed Date, year/month/day：2025 / 7 / 31
The second-hand book website：http://www.myub.com.tw/