NCHU Course Outline
Course Name (中) 微積分(一)(1216)
(Eng.) Calculus(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher 邱國欽
Department Department of Applied Economics / Undergraduate Language Chinese 英文/EMI N Semester 2025-FALL
Course Description Content coverage: Limits and Continuity, Differentiation, Applications of Derivatives, Integration, Transcendental Functions, Applications of Definite Integrals
Prerequisites
self-directed learning in the course N
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
1. The introduction of basic techniques of calculus, and its applications in business
1.Economics expertise capabilities
100
Lecturing
Quiz
Assignment
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Limits of functions
Week 2 continuity
Week 3 Limits involving infinity
Week 4 The Sandwitch theorem and continuous functions
Week 5 The rules for differentiation
Week 6 Chain rule and differentials
Week 7 Implicit and inverse function theorems
Week 8 The Minima and Maxima of continuous functions
Week 9 Midterm
Week 10 The mean value theorem and derivative tests
Week 11 L’Hospital’s rules
Week 12 The definition of definite integration
Week 13 Some theorems of definite integration
Week 14 Natural logarithm and exponential functions
Week 15 Applications of ax and logax
Week 16 Inverse trigonometric functions
Areas of regions between curves
self-directed
learning
   02.Viewing multimedia materials related to industry and academia.
第17週 期末考
第18週 積分概念(銜接下下學期課程) 教學影片,學生可自主學習。
Evaluation
Quiz and Homework: 40%
Midterm: 30%
Final: 30%
Notice: Changes of grading system may be announced in class.
Textbook & other References
Calculus (微積分) Hiller et al.(朱蘊鑛 譯)
東華書局
Teaching Aids & Teacher's Website

Office Hours
Friday, 2-4PM
Sustainable Development Goals, SDGs(Link URL)
08.Decent Work and Economic Growth   09.Industry, Innovation and Infrastructure   12.Responsible Consumptioninclude experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2025/06/29 18:10:27 Printed Date, year/month/day:2025 / 8 / 31
The second-hand book website:http://www.myub.com.tw/