Contents:
Several Variable Calculus: Applications of Double integrals. Chris Tisdell UNSW – Path integrals – How to integrate over curves – Vector calculus: What is the divergence? Chris Tisdell UNSW – What is the Curl? Chris Tisdell UNSW – What is a line integral – Applications of Line Integrals – Fundamental theorem of line integrals – What is Green’s theorem – More on Green’s Theorem – Parametrised surfaces – What is a surface integral – Surface integrals + vector fields – How to solve PDEs via separation of variables + Fourier series

### Course Curriculum

 Several Variable Calculus: Applications of Double integrals. Chris Tisdell UNSW Details 44:29 Path integrals – How to integrate over curves. Chris Tisdell UNSW Details 46:51 Vector Calculus: What is a vector field?? Chris Tisdell UNSW Details 42:47 Vector calculus: What is the divergence? Chris Tisdell UNSW Details 46:22 Vector Calculus – What is the Curl? Chris Tisdell UNSW Details 48:35 Vector Calculus: What is a line integral? Chris Tisdell UNSW Details 48:33 Vector Calculus – Applications of Line Integrals. Chris Tisdell UNSW Details 46:20 Vector calculus – Fundamental theorem of line integrals. Chris Tisdell UNSW Details 40:28 Vector Calculus – What is Green’s theorem? Chris Tisdell UNSW Details 47:50 Vector Calculus: More on Green’s Theorem. Chris Tisdell UNSW Details 39:14 Vector calculus – Parametrised surfaces. Chris Tisdell UNSW Details 32:49 Vector Calculus – What is a surface integral? (part 1) Chris Tisdell UNSW Details 41:39 Vector Calculus – More on surface integrals. Chris Tisdell UNSW Details 30:48 Vector Calculus – Surface integrals + vector fields. Chris Tisdell UNSW. Details 25:1 How to solve PDEs via separation of variables + Fourier series. Chris Tisdell UNSW Details 42:11

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