NCHU Course Outline
Course Name (中) 微積分(一)(1217)
(Eng.) Calculus(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 2 Teacher 廖惠雯
Department Department of Food Science and Biotechnology / Undergraduate Language Chinese Semester 2026-FALL
Course Description Introduction to the theory and application of Calculus.
Prerequisites
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
Developing the abilities to operation and application of Calculus.
1.Have knowledge and skill in food science and biotechnology
100
Lecturing
Assignment
Quiz
Attendance
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 1.Functions and Mathematical Models
Week 2 2.Techniques for Finding Limits
Week 3 3.A precise Definition of a Limit
Week 4 4.Continuous Functions
Week 5 5.The Derivative
Week 6 6.The Product and Quotient Rules
Week 7 7.Derivatives of Trigonometric Functions
Week 8 8.Midterm Exam
Week 9 9.The Chain Rule;Implicit Differentiation
Week 10 10.Extrema of Function; The Mean Value Theorem
Week 11 11.Increasing and Decreasing Functions; The First Derivative Test
Week 12 12.Concavity and Inflection Points
Week 13 13.Limits Involving Infinity; Asymptotes; Curve Sketching
Week 14 14.Indefinite Integrals; Integration by Substitution
Week 15 15.Area; The Definite Integral;The Fundamental Theorem of Calculus
Week 16 16.Final Exam
self-directed
learning
   02.Viewing multimedia materials related to industry and academia.

Evaluation
General Performance and Quizzes 40%.
Midterm exam. 30%.
Final exam. 30%.
Textbook & other References
Essential of Calculus, 2e, Soo T. Tan, 東華書局
Teaching Aids & Teacher's Website
Office Hours
暫定
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2026/07/31 16:00:53 Printed Date, year/month/day:2026 / 8 / 12
The second-hand book website:http://www.myub.com.tw/