Before we begin!
I would like to give a special thank you to:

Josh Latka, Professor of Engineering Mathematics at Dalhousie University

Karsten Economou, Graduate Researcher at the Department of Engineering Mathematics & Internetworking at Dalhousie University

Dr Brandon Leonard Professor of Mathematics at Merced College
For their contributions in Mathematical education, and provision of knowledge for this wiki tree. The following notes are my second year class notes for Applied Vector Calculus, and I hope you may find them helpful!
 Distance and Arc Length Calculation
 Curvature and Torsion
 Functions of Several Variables
 Implicit Functions and Differentiation
 Gradients Revisited and Linear Approximations
 Multivariable Integration
 Triple Integrals
 Polar Coordinates, Cylindrical Systems, Spherical Systems
 Calculus of Scalar and Vector Fields (Vector Calculus)
 Fields and the Laplacian
 Line Integrals
 Greenâ€™s Therorem and Surface Integrals
 Surface Integrals and Stokes Theorem
 Divergence Theorem
 Summary of Line and Surface Integrals
Note
You may see references to â€śnotesâ€ť in this document. This are in reference to provided class notes, that I unfortunately no longer have! I tried to clean them up, but bits may still be left behind.