NCHU Course Outline
Course Name (中) 微積分(一)(1202)
(Eng.) Calculus(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher 陳齊康
Department Department of Business Administration/Undergraduate Language English Semester 2025-FALL
Course Description The course covers the basic techniques of calculus: limits, derivatives, applications of derivatives, indefinite and definite integrals, fundamental theorems of calculus
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
培養大學生必須具備的計量分析觀念及基礎技能。
1.Independent Thinking
2.Professional Knowledge with Applications
4.English Proficiency
60
30
10
Networking/Distance Education
Lecturing
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Limits (1.1), (1.2)
(This calculus course is a distant course.)
Week 2 Limits (1.3), (1.4), (1.5)
Week 3 Continuity of functions (1.6), tangent lines (2.1)
Week 4 The derivatives (2.2), (2.3)
Week 5 Derivative of trig functions (2.4), chain rule (2.5)
Week 6 Higher order derivatives (2.6), implicit differentiation (2.7)
Week 7 Maximum and minimum (3.1), monotonicity and concavity (3.2), inflection points (3.2)
Week 8 Midterm exam
Week 9 Extrema on open intervals (3.3), mean value theorem (3.6)
Week 10 L’Hospital’s rule (8.1), antiderivatives (3.8)
Week 11 Differential equations (3.9)
Week 12 Riemann sum and definite integral (4.2), unified exam on Thursday
Week 13 First fundamental theorem of calculus (4.3)
Week 14 Second fundamental theorem of calculus (4.4)
Week 15 Area of a plane Region (5.1)
Week 16 Final exam
self-directed
learning
   03.Preparing presentations or reports related to industry and academia.

Evaluation
1. Homework assignments, online class attendance and watching lecture videos: 30%
2. Midterm exam: 30%
4. Final exam: 30%
5. Self-learning: 10%
The grade system is tentative and subject to modification.
Textbook & other References
Calculus, Varberg, Purcell and Rigdon 東華書局
Teaching Aids & Teacher's Website

Office Hours
3:00-4:00 PM Friday
Sustainable Development Goals, SDGs(Link URL)
04.Quality Educationinclude experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2025/08/12 11:33:49 Printed Date, year/month/day:2025 / 8 / 19
The second-hand book website:http://www.myub.com.tw/