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Lecture Description
This lecture discusses how to integrate vector fields over curves, better known as "line integrals". Dr Chris Tisdell defines the concept of a line integral and presents some examples on their calculation. Special attention is given to the applications of line integrals such as: calculating work done by a variable force on a particle moving over curved paths; fluid flow (flux) over closed curves; circulation and flow integrals. Plenty of examples are presented.
Course Description
This is a series of lectures for MATH2111 "Higher Several Variable Calculus" and "Vector Calculus", which is a 2nd-year mathematics subject taught at UNSW, Sydney. This playlist provides a shapshot of some lectures presented in Session 1, 2009. These lectures focus on presenting vector calculus in an applied and engineering context, while maintaining mathematical rigour. Thus, this playlist may be useful to students of mathematics, but also to those of engineering, physics and the applied sciences. There is an emphasis on examples and also on proofs.




