了解LaTeX、Beamer和Matlab的程式設計、符號運算、數值、繪圖及文字處理功能，對於在大學數學中的應用非常重要。這裡是這些工具的簡要介紹，以及一些免費數學運算軟體的推薦。
LaTeX是一種基於TeX的排版系統，特別適合於製作數學和科學文件。它的主要功能包括：
數學公式編輯：LaTeX非常擅長於編輯複雜的數學公式，並能產生高品質的輸出。
文檔結構化：LaTeX允許用戶輕鬆管理文檔結構，如章節、索引、參考文獻等。
圖表插入：可以與圖形包（如TikZ和PGF）結合使用，繪製各種圖表和圖形。
排版控制：提供了高度靈活的排版控制，包括字體、間距、頁邊距等。
Beamer是基於LaTeX的一個程式庫，用於製作演示演講文稿。其功能包括：
演示模板：提供多種內建模板，用於創建專業的演示文稿。
動態效果：支持逐步顯示內容、動畫和過渡效果。
數學公式：完整支持 LaTeX 數學公式的編輯和顯示。
圖形和表格：可以輕鬆地插入和管理圖形和表格。
Matlab 是一種數值計算軟體，廣泛應用於工程和科學計算。其主要功能包括：
程式設計：提供強大的編程環境和大量內建函數，用於數值運算、資料分析和演算法開發。
符號運算：通過 Symbolic Math Toolbox，支持符號微分、積分、方程求解等操作。
數值計算：強大的矩陣運算和數值解方程能力，適合大規模科學計算。
繪圖功能：提供豐富的2D和3D繪圖功能，用於數據可視化。
文字處理：可以生成報告和文件，並能與LaTeX集成，生成高質量的文檔。Understanding the programming, symbolic operations, numerical, drawing and word processing functions of LaTeX, Beamer and Matlab is very important for application in college mathematics. Here is a brief introduction to these tools, as well as some recommendations for free math software.
LaTeX is a TeX-based typesetting system particularly suitable for producing mathematical and scientific documents. Its main functions include:
Mathematical formula editing: LaTeX is very good at editing complex mathematical formulas and can produce high-quality output.
Document structuring: LaTeX allows users to easily manage document structure, such as chapters, indexes, references, etc.
Chart insertion: Can be used in conjunction with graphics packages such as TikZ and PGF to draw various charts and graphs.
Typesetting control: Provides highly flexible typesetting control, including fonts, spacing, margins, etc.
Beamer is a library based on LaTeX for creating presentations. Its features include:
Presentation Templates: Provides a variety of built-in templates for creating professional presentations.
Dynamic effects: Supports gradual display of content, animation and transition effects.
Mathematical formulas: Full support for editing and displaying LaTeX mathematical formulas.
Graphics and Tables: Graphics and tables can be easily inserted and managed.
Matlab is a numerical calculation software widely used in engineering and scientific calculations. Its main functions include:
Programming: Provides a powerful programming environment and a large number of built-in functions for numerical operations, data analysis and algorithm development.
Symbolic operations: Through Symbolic Math Toolbox, operations such as symbolic differentiation, integration, and equation solving are supported.
Numerical calculation: Powerful matrix operation and numerical equation solving capabilities, suitable for large-scale scientific calculations.
Drawing function: Provides rich 2D and 3D drawing functions for data visualization.
Word processing: can generate reports and files, and can be integrated with LaTeX to generate high-quality documents.
張智星. (2016). MATLAB 程式設計入門篇 (第四版)(電子書). 碁峰資訊股份有限公司.
大家來學
LaTeX https://textw.github.io/LaTeX123/
Zhang Zhixing. (2016). Introduction to MATLAB Programming (Fourth Edition) (e-book). Qifeng Information Co., Ltd.
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LaTeX https://textw.github.io/LaTeX123/
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 期中報告期中報告 interim report |
25 | |
| 課堂練習 課堂練習 Class exercises |
40 | |
| 上課點名出席 上課點名出席 Attend class by name |
10 | |
| 期末上台報告或測驗期末上台報告或測驗 Final presentation or test |
25 |
