## Grade 12 Calculus and Vectors

Chapter 1: Introduction to Calculus and Vectors

This is an introductory chapter to Calculus and Vectors. It is important for students to be very familiar with the material presented in this chapter since the following chapters will be building from this knowledge. This chapter will investigate slopes of straight lines, secants and tangents as well as their relationship to limits of functions and some of the main properties of limits. Chapter will conclude with techniques for identifying continuous functions and non-continuous functions using limits.

**
1.1 Rationalizing Denominators and Radical Expressions
1.2 Average Rate of Change
1.3 Slope of Tangents
1.4 Limit of a Function
1.5 Properties of Limits
1.6 Continuity
**

## Grade 12 Calculus and Vectors

Chapter 1: Introduction to* Calculus *and Vectors

1.1 Rationalizing Denominators

1.2 Average Rate of Change

1.3 Slope of Tangents

1.4 Limit of a Function

1.5 Properties of Limits

1.6 Continuity

Chapter 2: Derivatives

Chapter 3: Applications of Derivatives

Chapter 4: Curve Sketching

Chapter 5: Derivatives of Trigonometric Functions

Chapter 6: Derivatives of Exponential Functions

Chapter 7: Introduction to * Vectors *

Chapter 8: Vector Operations and Applications

Chapter 9: Equations of Lines

Chapter 10: Equations of Planes

Chapter 11: Points, Lines and Planes

Videos for each topic contain a playlist, allowing you to choose the instructor and learning style to your liking. You can choose different videos in a topic by placing the mouse over the video and selecting a different video from the playlist. Videos of solutions to multiple example problems are also available to illustrate to students how each tools and techniques should be used.

Please refer to high school math prerequisite tree to see the recommended courses and materials one should be familiar with prior to taking up Calculus and Vectors.

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