We will learn ...
This is the first semester of a one-year calculus course, covering differentiation and integration for functions of a single variable. You will learn how derivatives describe instantaneous rates of change, with applications to slopes, velocity, and optimization problems. You will also learn how antiderivatives and integrals describe the accumulation of small quantities, with applications to area and displacement. Throughout the semester, you will explore the meanings of limits, derivatives, and antiderivatives, and develop the skills needed to compute and apply them effectively.
Limits
The mathematical language of continuity and local behavior.
Differentiation
Measuring how quantities change instantaneously.
Integration
Measuring the accumulation of infinitely small contributions.
You need to do ...
Midterm 1 (20%):
Midterm 2 (20%):
Joint exam (30%):
See announcements from NYCU Calculus Teaching Group (微積分教學小組).
Quizzes (20%):
There will be a quiz almost every week. The total points of all quizzes will be at least 20 points.
A few tips for learning mathematics ...
Mistakes Make You Smarter: Everyone learns through experiences and mistakes. For each new concept you learn, generate as many examples as possible to train your brain to distinguish between right and wrong.
Ask Questions: Beyond knowledge, mathematics is fundamentally about logic. Question everything you encounter—why it is defined this way, why an assumption is required, why a proof needs a particular step, and so on.
Think Carefully: Sound arguments should hold true in any circumstance. Verify the examples you generate to ensure they align with your argument.
Help Each Other: Learning together can make the process easier. Teaching others is also an effective way to reinforce your own understanding.
Course Info
- Term: September 7, 2026 – December 25, 2026
- Meeting time: Tuesday, 10:10 – 12:00 noon @ SC106
- Meeting time: Friday, 13:20 – 15:10 @ SC106
- Instructor: Jephian Lin | 林晉宏
- Email: jephianlin [at] nycu.edu.tw
- Office: SA336
- Office Hours: By appointment
- TA: TBA | TBA
- Office Hours: By appointment
Textbook
Calculus (Early Transcendentals), 9th Edition
James Stewart , Daniel K. Clegg , Saleem Watson
Resources for Calculus
Tentative Schedule
Policies/Ethics
Accessibility
Students with diverse learning styles and needs are welcome in this course. In particular, if you have a disability/health consideration that may require accommodations, please feel free to approach me.
Grading
Percentage scores will be converted to letter grades according to Regulations for Grading of Students (國立陽明交通大學學生成績作業要點).
Attendance
You are expected to attend the classes.
Missing work
If you miss some course components due to illness, accident, family affliction, or religious observances, please talk to me and provide the documentation. In such cases, the course component is excused, and your course score will be calculated by distributing the weight of the missed item(s) across the other course components. Missing components are limited to at most 20%.
Academic integrity
Do not copy others' work, including others' homework, the textbook, online materials, and others' answers in an exam; if it is really necessary, add proper citations to your references. It makes no point (and gives you no point) if the work is not yours since you learned nothing.