NCHU Course Outline
Course Name (中) 微積分(一)(1223)
(Eng.) Calculus(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 2 Teacher TENG CHUN HAO
Department Department of Forestry (Wood Science Program)/Undergraduate Language English Semester 2026-FALL
Course Description 微積分是一門進入高等數學的基礎學科,其內容討論函數的性質如極大極小、變化率等以及運作方式,如函數的微分、積分的運作方法Calculus is a basic subject in higher mathematics, and its content discusses the properties of functions such as minimax, rate of change, and operation methods, such as differential and integral operation methods of functions.
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
使得學生能夠了解微分積分的運作方式和運用。Enable students to understand the operation and application of differential integration.
1.Basic knowledge and skills in forestry
100
topic Discussion/Production
Networking/Distance Education
Exercises
Practicum
Lecturing
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 課程說明
The Limit of a Function
Week 2 Calculating Limits Using the Limit Laws
Continuity.
Week 3 Derivatives and Rates of Change.
The Derivative as a Function.
Week 4 Differentiation Formulas.
Derivatives of Trigonometric Functions.

Week 5 The Chain Rule
Implicit Differentiation.
Linear Approximations and Differentials.
Week 6 Maximum and Minimum Values.
Monotonicity and Concavity.
Week 7 Limits at Infinity; Horizontal Asymptotes.
Graphing Functions
Week 8 Mid-term
Week 9 The Mean Value Theorem
Optimization problems
Week 10 Antiderivatives and Integrals
Week 11 The Fundamental Theorem of Calculus.
Week 12 The Substitution Rule.
Week 13 Application of Integral:
Area; Volumes of Solids
Week 14 Application of Integral:
Volumes of Solids
Week 15 Final Exam
Week 16 課程含自主學習:由教學影片學習
self-directed
learning
   02.Viewing multimedia materials related to industry and academia.
由教學影片學習
Inverse Functions, Natural Logarithm Functions, Exponential Functions
Evaluation
Quiz and HomeWork:30% Midterm Test:30% Final Test:40%
Textbook & other References
書名: Calculus 9th edition
作者: James Stewart

代理商:滄海書局
Teaching Aids & Teacher's Website

Office Hours
Making appointments by Email.
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:2026/07/30 15:47:36 Printed Date, year/month/day:2026 / 8 / 18
The second-hand book website:http://www.myub.com.tw/