Week 01-02: Vector analysis

Learning outcomes:

In this section student will learn about vector analysis.

Physics deals with a great many quantities that have both size and direction, and it needs a special mathematical language—the language of vectors—to describe those quantities. This language is also used in engineering, the other sciences, and even in common speech. If you have ever given directions such as “Go five blocks down this street and then hang a left,” you have used the language of vectors. In fact, navigation of any sort is based on vectors, but physics and engineering also need vectors in special ways to explain phenomena involving rotation and magnetic forces, which we get to in later chapters. In this chapter, we focus on the basic language of vectors.

 

 

Lesson Plan:

 

Lecture 01.    Introduction of vectors and scalar

Lecture 02.    Geometrical representation of vectors ( addition and subtraction)

Lecture 03.   Resolution of vectors

Lecture 04.    Unit vectors & adding vectors by component

Lecture 05.    Multiplying vectors ( dot / cross product, product with scalar quantity )

Lecture 06.    Gradient, curl and divergence 

Download Files

vector-analysis-1.pdf (1.57 MB )