MATH 110: Introduction to Number Theory
Winter 2023 • MWF 4:00 PM - 5:05 PM at Engineer 2 194 (in-person)
- Course Information
- Lecture Notes
- Learning Outcomes
- Structure of this course
- Grade
- Guidelines
- Useful links
Course Information
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Instructor: Xu Gao (xgao26@ucsc.edu), McHenry Library 1292
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Lecture time and location: MWF 4:00 PM - 5:05 PM, Engineer 2 194
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Office Hours: MW 2:30 – 3:30 PM or by appointment. (This is when you come and talk to me if you have any questions, or otherwise.)
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Textbook. An Illustrated Theory of Numbers by Martin H Weissman.
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TA. Changhan Zou (czou3@ucsc.edu)
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TA’s Office Hours. M 1:30 - 3:30 PM, McHenry 1247
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Discussion Sections.
01A McHenry Clrm 1279 Friday 9:20 AM - 10:25 AM 01B McHenry Clrm 1279 Tuesday 1:20 PM - 2:25 PM
Lecture Notes
- You can find them here.
Learning Outcomes
- Familiarize Ideas and problems in number theory that play essential roles in modern mathematics.
- Understand the roles of theorems, proofs, and counterexamples.
- Develop problem-solving skills.
- Practice clear, concise, and precise mathematical writing.
- You will need basic $\LaTeX$ for this course.
Structure of this course
Grade
The grade will be based on two parts:
Homework and Classwork (50%)
- Attendance and quizzes (10%), there will be attendance forms and quizzes, the lowest 5 ones will be dropped.
- Glossary (10%), you are asked to keep a glossary and share it with us before each exam.
- Homework (30%), weekly homework (different from exercises, which will not be graded)
Exams (50%)
- Midterm (20%), there will be two midterms, the lower one will be dropped.
- Final (30%)
Curve
The final score will be curved with a norm distribution and then translated to letter grades using the following grading scheme.
| Total scores | Grade |
|---|---|
| $\geqslant 98$ | A$+$ |
| $90$ – $97$ | A |
| $88$ – $89$ | A$-$ |
| $85$ – $87$ | B$+$ |
| $78$ – $84$ | B |
| $75$ – $77$ | B$-$ |
| $70$ – $74$ | C$+$ |
| $60$ – $69$ | C |
| $55$ – $59$ | C$-$ |
| $40$ – $54$ | D |
| $< 40$ | F |
| incomplete1 | I |
To pass the course, your letter grade should be at least C.
1: Need to discuss with the instructor before the end of the course.