The Normal and Binormal Vectors

The Normal and Binormal Vectors

Objectives

- To acquaint the student with the concepts of vector calculus needed for problems in all engineering disciplines.

- To familiarize the student with functions of several variables. This is needed in many branches of engineering.

- To acquaint the student with mathematical tools needed in evaluating multiple integrals and their usage.

- To make the student appreciate the purpose of using transforms to create a new domain in which it is easier to handle the problem that is being investigated.



References

Thomas Calculus Maurice D. Weir , Joel Hass, George B. Thomas. 12th ed.

- Advanced Engineering Mathematics by Erwin Kreyszig 9th ed.

- Higher Engineering mathematics by B.V. Ramana .

- Higher Engineering mathematics by B.S. Grewal.

VECTORS AND THE
GEOMETRY OF SPACE
OVERVIEW To apply calculus in many real-world situations and in higher mathematics,we need a mathematical description of three-dimensional space. In this chapter we introduce three-dimensional coordinate systems and vectors. Building on what we already know about coordinates in the xy-plane, we establish coordinates in space by adding a third axis that measures distance above and below the xy-plane. Vectors are used to study the analytic geometry of space, where they give simple ways to describe lines, planes, surfaces, and curves in space. We use these geometric ideas later in the book to study motion
in space and the calculus of functions of several variables, with their many important applications in science, engineering, economics, and higher mathematics.