A unit that involves applications of vector field identities. This module allows students to gain the ability to derive vector identities and vector field identities using the Levi-Civita tensor.
Table of Contents:
1. INTRODUCTION
2. THE KRONECKER-DELTA
3. PERMUTATIONS
4. THE LEVI-CIVITA TENSOR
5. A USEFUL NOTATIONAL CONVENTION
6. RELATION BETWEEN THE KRONECKER-DELTA AND THE LEVI-CIVITA TENSOR
7. IDENTITIES IN VECTOR ALGEBRA
8. IDENTITIES IN VECTOR FIELDS
9. THE LEVI-CIVITA TENSOR IN FOUR DIMENSIONS
10. MODEL EXAM
11. ANSWERS AND SOLUTIONS TO EXERCISES
12. ANSWERS TO MODEL EXAM
You must have a Full Membership to download this resource.
If you're already a member, login here.
COMAP develops curriculum resources, professional development programs, and contest opportunities that are multidisciplinary, academically rigorous, and fun for educators and students. COMAP's educational philosophy is centered around mathematical modeling: using mathematical tools to explore real-world problems.