NCHU Course Outline
Course Name (中) 微積分(二)(1236)
(Eng.) Calculus(II)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 2 Teacher TENG CHUN HAO
Department Department of Food Science and Biotechnology / Undergraduate Language Chinese Semester 2026-SPRING
Course Description 學習微積分單變數函數積分學和應用
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
1.啟發學生推理開創心知之門徑。
2.學生對極限、導數和定積分將有基本的了解且具備基本的計算技巧。
3.打好學生研究高深學問的基礎。
4.為學生學習其專業課程的先修課程。
Lecturing
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Ch04S01: Area and Distance
Ch04S02: The Definite integral
Week 2 Ch04S03: The Fundamental Theorem of Calculus
Ch04S04: Indefinite Integrals and The Net Change Theorem
Week 3 Ch04S05: The Substitution Rule
Ch05S01: Areas between Curves
Week 4 Ch05S02: Volumes of The Solids: Slabs, Disks, and Washers
Ch06S01: Inverse Functions and their Derivatives
Week 5 Mid term
Week 6 Ch06S02: The Natural Logarithm Function
Week 7 Ch06S03: The Natural Exponential Function
Week 8 Ch06S04: General Exponential and Logarithm Functions
Ch06S05: Exponential Growth and Decay
Week 9 Ch06S06: The Inverse Trigonometric Functions and Their Derivatives
Week 10 Ch06S07: The Hyperbolic Functions and Their Inverses
Week 11 Ch06S08: The L’Hospital Rule
Week 12 Ch07S01: Integration by Parts
Week 13 Ch07S02: Some Trigonometric Integrals
Week 14 Ch07S03: Trigonomateric Substitutions and Rationalizing Substitutions
Week 15 Ch07S04: Integration of Rational Functions Using Partial Fractions
Week 16 期末考
self-directed
learning
自主學習:(ilearning 微積分影片教材)
Ch07S08: Improper Integral
自主學習:(ilearning 微積分影片教材)
Ch08S01: Arc Length
Evaluation
30%: 作業
30%: 期中考
40%: 期末考
Textbook & other References
書名: Calculus 9th edition
作者: James Stewart
Teaching Aids & Teacher's Website

Office Hours
Mon 15:10-16:00, 資科大樓209室
其它時間請預約, 請電郵 tengch@nchu.edu.tw
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include experience courses:N
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Update Date, year/month/day:2026/01/10 14:44:36 Printed Date, year/month/day:2026 / 4 / 16
The second-hand book website:http://www.myub.com.tw/