NCHU Course Outline
Course Name (中) 微積分(一)(1220)
(Eng.) Calculus(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher TSAI YA LUN
Department Department of Electrical Engineering/Undergraduate Language English Semester 2026-FALL
Course Description Calculus for real functions
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
Differentiation and Integration for real function in one variable
Discussion
Exercises
Lecturing
Attendance
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Limit of real functions in one variable
(Chapter 1)
Week 2 Limit of real functions in one variable
(Chapter 3)
Week 3 Continuous real functions:
Polynomial functions, Rational functions, power functions, Trigonometric functions
(Chapter 1)
Week 4 Derivatives, Tangent lines
(Chapter 2)
Week 5 Linear Approximation and Differentials
(Chapter 2)
Week 6 Curve Sketching
(Chapter 3)
Week 7 Optimization problems
(Chapter 3)
Week 8 10/28,29 Midterm Exams 30%+4%
(Covering materials from Weeks 1,2,3,4,5,6,7 on Differentiations)
Week 9 Integrals
(Chapter 4)
Week 10 Areas and Volumes
(Chapter 5)
Week 11 Exponential functions, Logarithmic functions, Inverse Trigonometric functions, Hyperbolic functions
(Chapter 6)
Week 12 Techniques of Integration
(Chapter 7)
Week 13 Application of Integrations
(Chapter 8)
Week 14 Polar Coordinates (Preparing for Multivariable Calculus for Calculus II)
(Chapter 10)
Week 15 Real-valued and Vector-valued functions with domain in R^n (Preparing for Multivariable Calculus for Calculus II)
(Chapter 12)
Week 16 12/23,24 Final Exams 30%+4%
(Covering materials from Weeks 9,10,11,12,13,14,15 on Integrations)
self-directed
learning		    02.Viewing multimedia materials related to industry and academia.
Evaluation
Homework exercises or participation quiz points: 42%
(At most 14% of Homework exercises)
10/28,29 Midterm Exam with bonus: 30%+(4%)
12/23,24 Final Exam with bonus: 30%+(4%)
The maximal points you can obtain for Calculus (I) is 100 points.
I will assign Homework exercise problems for each hour of our meeting from the Textbook
on I-Learning. You don’t have to hand in your works for those problems unless you miss
the class for that hour. If you miss a participation point due to your absence for a specific
hour of our arranged meeting, you will need to hand in the problems from that hour and
submit them (.png .pdf file) containing answers from your hand-writings on I-learning in
one week to gain one point back. The maximum points for homework exercises in total is
14%. No absence for the Midterm or Final Exams are allowed. Similar problems from the
homework assignments will be on the Midterm or Final Exams (not including the problems
for bonus points.)
Textbook & other References
Calculus, Metric version 9E; James Stewart, Daniel Clegg, Saleem Watson,
Teaching Aids & Teacher's Website
I-Learning 3
Office Hours
39
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：2026/09/06 01:07:38 Printed Date, year/month/day：2026 / 10 / 17
The second-hand book website：http://www.myub.com.tw/