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Vector Calculus (2009, UNSW). This is a collection of video lectures given by Professor Chris Tisdell, presenting vector calculus in an applied and engineering context.
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Description
This is a series of lectures for "Several Variable Calculus" and "Vector Calculus", which is a 2nd-year mathematics subject taught at UNSW, Sydney. These lectures focus on presenting vector calculus in an applied and engineering context, while maintaining mathematical rigour. Thus, the lectures 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.
Course content
- Lecture 01 – Applications of Double Integrals Unlimited
- Lecture 02 – Path Integrals – How to Integrate over Curves Unlimited
- Lecture 03 – What is a Vector Field? Unlimited
- Lecture 04 – What is the Divergence? Unlimited
- Lecture 05 – What is the Curl? Unlimited
- Lecture 06 – What is a Line Integral? Unlimited
- Lecture 07 – Applications of Line Integrals Unlimited
- Lecture 08 – Fundamental Theorem of Line Integrals Unlimited
- Lecture 09 – What is Green’s Theorem? Unlimited
- Lecture 10 – Green’s Theorem (cont.) Unlimited
- Lecture 11 – Parametrized Surfaces Unlimited
- Lecture 12 – What is a Surface Integral? (Part 1) Unlimited
- Lecture 13 – More on Surface Integrals Unlimited
- Lecture 14 – Surface Integrals + Vector Fields Unlimited
- Lecture 15 – How to Solve PDEs via Separation of Variables Unlimited
Instructor
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