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MATH1131

Mathematics 1A数学1A

Comprehensive study materials for algebra and vectors代数与向量的全面学习资料

Course Notes课程笔记

📝 Week 5 Notion第5周Notion

Access comprehensive algebra and vector mathematics notes with detailed explanations and examples.访问包含详细解释和示例的综合代数和向量数学笔记。

MATH1131 - Complete Notes

Complete course notes covering weeks 1-4:涵盖第1-4周的完整课程笔记:

  • Week 1: Geometric Vectors & Operations
  • Week 2: Vector Geometry & Dot Product
  • Week 3: Orthogonality, Projections & Cross Product
  • Week 4: Complex Numbers & Euler's Formula
Offline Access离线访问

Final Review (Notion Version)期末复习(Notion版本)

Final exam review (online version, real-time updates). Covers core topics including matrix operations, functions and inverse functions, polar coordinates, vectors and planes, determinants and linear systems, fundamental calculus theorems.期末总复习(在线版本,实时更新)。涵盖矩阵运算、函数与反函数、极坐标、向量与平面、行列式与线性方程组、微积分基本定理等核心考点。

  • Core concepts and methodologies organized by modules核心概念与方法论分模块梳理
  • Common pitfalls and error examples常见陷阱与错误示范
  • 可视化要点与速记模板
📝 Notion Real-time Updates📝 Notion 实时更新

Final Review (Notion 16–31)期末复习(Notion 16–31)

Online review notes for questions 16–31 (real-time updates). Covers matrix algebraic simplification, mean value theorem applications, parametric linear systems, improper integral comparison tests, complex numbers and conjugate roots, polar coordinate transformations, Riemann sums, etc.第16–31题在线复习笔记(实时更新)。覆盖矩阵代数化简、中值定理应用、参数线性方程组、反常积分比较判别、复数与共轭根、极坐标变换、黎曼和等。

  • 完整知识点与解题流程
  • 图表/流程图可视化理解
  • 与本地版保持 UI 与结构一致
📝 Notion Real-time Updates📝 Notion 实时更新

Final Review (Local Version)期末复习(本地版本)

Final exam review (local version, bilingual friendly, with step-by-step analysis and hint modules, offline access supported).期末总复习(本地版本,双语友好,含分步解析与提示模块,支持离线访问)。

  • Past Questions core group point-by-point analysisPast Questions 核心组逐点精讲
  • Step-by-step derivations, strategic hints and common mistakes分步推导、策略提示与高频误区
  • Built-in MathJax formula rendering and diagrams内置 MathJax 公式渲染与示意图
🌐 双语支持 / 离线可用

Final Review (Local Version · 16–31)期末复习(本地版本 · 16–31)

Local review notes for questions 16–31, modularly organized, including table summaries, Mermaid diagrams and step-by-step analysis; UI consistent with other pages, offline access supported.第16–31题本地复习笔记,模块化整理,含表格总结、Mermaid 图与分步解析;UI 与其他页面保持一致,支持离线访问。

  • 矩阵代数化简 / 中值定理 / 参数线性方程组
  • 反常积分比较判别 / 复数与共轭根定理
  • 极坐标变换 / 分段函数黎曼和
Offline Access离线访问

Week 5 - Algebra第5周 - 代数

Matrix basics and linear systems (local version):矩阵基础与线性方程组 (本地版本):

  • Matrix Basics & Operations (矩阵基础与运算)矩阵基础与运算 (Matrix Basics & Operations)
  • Determinants & Inverse (行列式与逆矩阵)行列式与逆矩阵 (Determinants & Inverse)
  • Matrix Solutions (线性方程组的矩阵解法)线性方程组的矩阵解法 (Matrix Solutions)
  • Applications (应用与特殊矩阵)应用与特殊矩阵 (Applications)
🌐 Bilingual Support🌐 双语支持

Week 5 - Algebra Quiz第5周 - 代数测验

Test your matrix knowledge mastery:测试你的矩阵知识掌握程度:

  • 50 carefully selected questions (35 basic, 10 intermediate, 5 advanced)50道精选题目(35道基础题、10道中等题、5道进阶题)
  • 涵盖所有知识点,从定义到计算应用
  • Instant feedback with detailed analysis即时反馈与详细解析
  • Progress tracking and performance statistics进度追踪与成绩统计
🎯 Interactive Quiz🎯 互动测验

💡 Tip: Week 5 Algebra notes are available in two versions: click the button above to view the Notion online version (real-time updates), or choose the local version (bilingual support, offline access).💡 提示:Week 5 Algebra 笔记提供两种版本:点击上方按钮查看 Notion 在线版本(实时更新),或选择本地版本(双语支持,离线访问)。

Practice & Review

Practice problems, exercises, and review materials for mathematics concepts.数学概念的练习题、练习和复习资料。

Final Quiz 1 (1–15)期末测验1(1–15题)

Covers core topics for questions 1–15, UI/interaction consistent with other quizzes覆盖第1–15题核心考点,UI/交互与其他测验保持一致

  • 选项随机、即时反馈与解析
  • 进度条与正确数统计
  • MathJax 公式渲染
🎯 Interactive Quiz

Final Quiz 2 (16–31 / 100 Questions)期末测验2(16–31题 / 100题)

100 brand new questions covering all knowledge points for questions 16–31 (40 easy · 35 medium · 25 difficult)100 道全新题目覆盖第16–31题全部知识点(40 简单 · 35 中等 · 25 困难)

  • UI 与 Quiz 1 保持一致
  • 按难度筛选 / 顺序或随机作答
  • 详细解析与来源标注
🎯 Interactive Quiz

Calculus Lab Test Review

Core exam topics review for MATH1131 calculus components

  • Domain & Range of Functions
  • Limits & Continuity
  • Core Calculus Theorems
🌐 Bilingual Support

Algebra Lab Test Review

Core exam topics review for MATH1131 algebra components

  • Vector Fundamentals & Geometric Relations
  • Line & Plane Equations
  • Vector Geometric Operations & Applications
🌐 Bilingual Support

Matrix Algebra Quiz矩阵代数测验

Week 5 Matrix Algebra Interactive QuizWeek 5 矩阵代数互动测验

  • 50 comprehensive questions on matrix operations
  • Instant feedback with detailed explanations
  • Progress tracking and performance statistics
🎯 Interactive Quiz

Calculus Lab Test 2 (Maple) Review微积分实验考试2 (Maple) 复习

Maple core commands review for lab exam, covering function definition, solving, plotting and optimization problems, with specialized exercises针对实验考试的Maple核心命令复习,涵盖函数定义、求解、绘图与极值问题,并附带专项练习

  • 10个核心Maple知识点详解
  • 变量赋值、函数定义、求导与积分
  • 极坐标绘图与极限计算
  • 配套70道分级测验题目
🌐 Bilingual Support

Calculus Lab Test 2 (Maple) Quiz微积分实验考试2 (Maple) 测验

70 graded questions for comprehensive Maple learning assessment70道分级题目全面检验Maple学习成果

  • 15道简单 + 20道普通 + 15道困难 + 10道超难
  • 涵盖变量赋值、函数定义、求导积分、极限计算
  • 即时反馈与详细解析
  • 实时进度追踪与成绩统计
🎯 Interactive Quiz

Practice Problems

Coming Soon

Vector operations, dot/cross products, and complex number exercises will be available here.

Review Materials

Coming Soon

Formula sheets, quick reference guides, and exam preparation materials.