十二年级（MCV4U）微积分同步课程

Module

Content

Class

Module 1

1.1 Understanding Rate of Change
      理解变化率

1

1.2 Limits
      极限

1

1.3 Continuity
      连续性

1

Module 2

2.1 The First Principle
      求导的基本原理

1

2.2 The Power Rule
      指数求导法则

1

2.3 The Product Rule
      导数积的运算法则

1

2.4 The Quotient Rule
      导数商的运算法则

1

2.5 The Chain Rule
      导数链式法则

1

2.6  Derivatives of Tigonometric Functions
      三角函数求导

1

2.7  Derivatives of Exponential and Log Functions
      指对数函数求导

1

2.8 Curve Sketching
      曲线作图

1

2.9 Application of Derivatives
      导数的应用

2

Review and Evaluation

1

Module 3

3.1 Introduction to Vectors
      向量基本概念

1

3.2 Vector Operations
      向量的运算

1

3.3 Dot Products and Cross Products
      向量的点积与叉积

1

3.4 Relationships between Points，Lines and Planes
      点、直线与平面关系的向量表示

1

3.5 Application of Vectors
      向量的应用

1

Review and Evaluation

1

Total class hours

20