# Vector Calculus

## Dublin Core

### Title

Vector Calculus

### Subject

Vector

Calculus

### Description

This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II).

I have tried to be somewhat rigorous about proving results. But while it is important for students to see full-blown proofs - since that is how mathematics works - too much rigor and emphasis on proofs can impede the ﬂow of learning for the vast majority of the audience at

this level. If I were to rate the level of rigor in the book on a scale of 1 to 10, with 1 being completely informal and 10 being completely rigorous, I would rate it as a 5.

I have tried to be somewhat rigorous about proving results. But while it is important for students to see full-blown proofs - since that is how mathematics works - too much rigor and emphasis on proofs can impede the ﬂow of learning for the vast majority of the audience at

this level. If I were to rate the level of rigor in the book on a scale of 1 to 10, with 1 being completely informal and 10 being completely rigorous, I would rate it as a 5.

### Creator

Michael Corral

### Contributor

Cut Rita Zahara

### Rights

Creative Commons

### Type

Textbooks

### Files

### Collection

### Citation

Michael Corral
, “Vector Calculus,”

*Open Educational Resource (OER) - USK Library*, accessed December 11, 2023, http://uilis.usk.ac.id/oer/items/show/303.