NCHU Course Outline
Course Name (中) 微積分(二)(1261)
(Eng.) Calculus(II)
Offering Dept Department of Applied Mathematics
Course Type Elective Credits 2 Teacher Sirilak Sriburadet
Department Department of Life Sciences / Undergraduate Language Chinese 英文/EMI Semester 2025-SPRING
Course Description Emphasize the study of integration, applications and special techniques. Study the infinite sequences and series including power series.
Prerequisites
self-directed learning in the course N
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
Cultivate students the integration techniques and calculations of antiderivatives of Functions. Students can explain the meaning of the convergence and divergence of sequences and series.
1.The knowledge of basic science and basic life science
3.The training of the ability of expression and the logics of thinking.
50
50
Lecturing
Attendance
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Integrals:
Antiderivatives & Areas and distance
Week 2 The Definite Integral
Week 3 The Fundamental Theorem of Calculus
Week 4 Indefinite Integrals
Week 5 The Substitution Rule
Week 6 Techniques of Integration:
Integration by Parts
Week 7 Trigonometric Integrals
Week 8 Integration of Rational Functions
Week 9 Midterm Exam
Week 10 Strategies for Integration
Week 11 Improper Integrals
Week 12 Infinite Series:
Infinite Sequences
Week 13 Infinite Series
Week 14 The Integral Test
Week 15 The Comparison Test
Week 16 The Ratio and Root Tests
Week 17 Power Series
Week 18 Final Exam

Note: The content and progress of the lessons will be adjusted according to the situation of the class.
Evaluation
Attendance and performance: 25%
Homework: 15%
Midterm Exam: 30%
Final Exam: 30%
Textbook & other References
James Stewart, Calculus(Early Transcendentals), International Metric Edition 8th ed., Cengage Learning, 2016.
Teaching Aids & Teacher's Website

Office Hours
預約
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:None Printed Date, year/month/day:2025 / 5 / 10
The second-hand book website:http://www.myub.com.tw/