We will learn ...
培養學生數學論述及證明寫作能力。課程將介紹：
常見的證明手法
直接/反證、否逆/等價、數學歸納法、分批處理等。
特定結構的證明
存在/屬於、所有/包含、唯一性、前後條件句等。
證明的閱讀與呈現
用微觀/宏觀的角度理解證明、以 Markdown 或 LaTeX 製作數學筆記、投影片、及海報等。
You need to do ...
完成每堂課進度及任務 (100%):
學期成績的評定為通過或不通過：每週均到課且完成課堂任務即通過，否則不通過。
若有缺課需於上課當日以前完成請假、閱讀當週課程講義自修、並於一週內找助教報告自修成果及補足課堂任務。
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: Thursday, 10:10 – 12:00 noon @ SA320
- 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
上課講義
Jephian Lin
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.