NCHU Course Outline
Course Name (中) 微積分(1229)
(Eng.) Calculus
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher Kyung-Youn Kim
Department International Bachelor Program in Agribusiness/Undergraduate Language English Semester 2025-SPRING
Course Description The course includes The Derivative/Calculating the Derivative/ Applications of the Derivative/Integration/Further Techniques and Applications of Integration/Multi-variable 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
The purpose of the course is to provide students an introduction to calculus and it's applications.
1.Basic knowledge and skills in sustainable agriculture
2.Basic knowledge and skills in agribusiness
4.Using English as the means for communication
30
30
40
topic Discussion/Production
Exercises
Discussion
Attendance
Assignment
Study Outcome
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Derivative: Limits, Continuity (Feb.20)
Week 2 Derivative: Rates of Change, Definition of the Derivative (Feb.27)
Week 3 Calculating the Derivative:
Techniques for Finding Derivatives, Derivatives of Products and Quotients(Mar.6)(Online Class)
Week 4 Calculating the Derivative:
The Chain Rule, Derivatives of Exponential Functions and Logarithmic Functions (Mar.13)
Week 5 Midterm 1 (Mar.20)
Week 6 Applications of the Derivative:
Absolute Extrema, Applications of Extrema, Implicit Differentiation (Mar.27)
Week 7 Holiday(Children’s day, no class)(Apr.3)
Week 8 Applications of the Derivative: Related Rates, Differentials
Integration: Anti-derivatives,(Apr.10)
Week 9 Integration: Substitution, Area and the Definite Integral (Apr.17)
Week 10 Integration:
The Fundamental Theorem of Calculus, The Area Between Two Curves, Numerical Integration (Apr.24)
Week 11 Midterm 2 (May 1)
Week 12 Further Techniques and Applications of Integration:
Integration by Parts, Volume and Average Value (May 8)
Week 13 Further Techniques and Applications of Integration:Improper Integrals
Multivariable Calculus:Functions of Several Variables (May 15)
Week 14 Multivariable Calculus:
Partial Derivatives, Maxima and Minima (May 22)
Week 15 Multi-variable Calculus:
Lagrange Multipliers, Total Differentials and Approximations, Double Integrals (May 29)
Week 16 Final (June 5)
Week 17 Self-directed learning:Solve the problems which will be given in class (June 12)
Week 18 Self-directed learning:Solve the problems which will be given in class (June 19)
Evaluation
Midterm 1(20%), Midterm 2(20%), Final(20%),
In class assignment(20%)
Self-directed learning HW(20%)
Textbook & other References
Calculus with applications, Lial, Greenwell & Ritchey, 11th edition, Pearson
Teaching Aids & Teacher's Website

Office Hours
Wednesday: 16:00-17:00
Thursday: 16:00-17:00
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:2025/01/26 14:15:00 Printed Date, year/month/day:2025 / 12 / 14
The second-hand book website:http://www.myub.com.tw/