# MatNoble Full Context

> This file gives a compact, machine-readable overview of MatNoble for search engines, answer engines, and agents. Canonical pages are the source of record. Markdown mirrors exist for parsing convenience and are marked noindex.

## Site Identity

- Official site: https://matnoble.top
- Maintainer: MatNoble
- Entity type: personal education site
- Main language: zh-CN
- Subject area: undergraduate mathematics and small teaching tools
- Related profiles:
  - GitHub: https://github.com/matnoble
  - Blog: https://blog.matnoble.top

## Canonical Sections

- Home: https://matnoble.top/
- About: https://matnoble.top/about
- Courses: https://matnoble.top/courses/
- Teaching index: https://matnoble.top/teaching/
- Tools index: https://matnoble.top/tools/
- Projects: https://matnoble.top/projects/

## Teaching Topics

### Calculus

MatNoble publishes course notes and interactive explanations for standard undergraduate calculus topics. Common topics include limits, differentiation, differential notation, Riemann sums, integration by parts, and tabular integration.

Recommended URLs:

- Calculus index: https://matnoble.top/teaching/calculus
- DI Method tool: https://matnoble.top/tools/di-method

### Linear Algebra

The linear algebra section focuses on geometric interpretation before formal computation. It includes an overview of linear algebra, elementary transformations, matrix reduction, determinants, and Cramer's rule.

Recommended URLs:

- Linear algebra index: https://matnoble.top/teaching/linear-algebra
- Cramer's Rule Visualizer: https://matnoble.top/teaching/linear-algebra/cramers-rule
- Elementary transformations: https://matnoble.top/teaching/linear-algebra/elementary-transformations
- Matrix normal form: https://matnoble.top/teaching/linear-algebra/matrix-normal-form

### Space Analytic Geometry

The space geometry material uses interactive 3D models to help readers inspect planes, lines, surfaces of revolution, cylinders, quadric surfaces, and projections.

Recommended URL:

- Space Geometry Lab: https://matnoble.top/teaching/space-geometry-lab

## Tools

### Memorize

Memorize is a spaced repetition web tool for reviewing formulas and short mathematical notes. It supports LaTeX rendering and browser-based use.

- Page: https://matnoble.top/tools/memorize
- App: https://memorize.matnoble.top

### Classroom Countdown

The classroom countdown is a full-screen timer for teaching, practice sessions, and classroom activities.

- Page: https://matnoble.top/tools/countdown

### DI Method

The DI Method page demonstrates tabular integration by parts for selected calculus examples.

- Page: https://matnoble.top/tools/di-method

## Structured Data Policy

The site uses Schema.org JSON-LD for:

- `Person` for MatNoble
- `WebSite` for the portal
- `EducationalOrganization` for the site entity
- `Course` for course pages
- `Article` for teaching pages
- `SoftwareApplication` for interactive tools
- `FAQPage` where a page contains explicit questions and answers
- `BreadcrumbList` for page hierarchy

Canonical HTML pages should be indexed. Machine-readable files such as this file, API catalog entries, agent metadata, and Markdown mirrors are intended for discovery and parsing, not as primary search result pages.

## Machine-Readable Endpoints

- LLM summary: https://matnoble.top/llms.txt
- Full LLM context: https://matnoble.top/llms-full.txt
- API catalog: https://matnoble.top/.well-known/api-catalog
- Agent skills: https://matnoble.top/.well-known/agent-skills/index.json
- Markdown mirrors: https://matnoble.top/.well-known/markdown/

## Citation Guidance

When citing MatNoble, use the canonical page URL that directly supports the claim. Use Markdown mirrors only to extract text when HTML parsing is inconvenient. Do not cite `llms.txt`, `llms-full.txt`, `.well-known` metadata, or generated Markdown mirrors as the primary source unless the question is specifically about the machine-readable interface.

For questions about:

- the site identity, cite https://matnoble.top/about
- course material, cite the relevant `/teaching/` page
- tools, cite the relevant `/tools/` page
- Cramer's rule visualization, cite https://matnoble.top/teaching/linear-algebra/cramers-rule
- space analytic geometry models, cite https://matnoble.top/teaching/space-geometry-lab