x # Several Variable Calculus / Vector Calculus

Other, , Prof. Chris Tisdell

Updated On 02 Feb, 19

##### Overview

Vector Revision - Intro to curves and vector functions - Sketch graph of vector function: an example - How to sketch the graph of a vector function - hen do vector functions intersect - Intersection of vector functions example - Limits of vector functions - Limits of vector functions: an example - Calculus of vector functions - 1 variable - Derivatives of vector functions example - Cross product differentiation example - angent to curve of vector function example - Arc length of vector functions example - Intro to functions of two variables - Intersection of sphere and cone example - Limits of functions of two variables - Limit doesn't exist 2 variables example - Limits in polar co-ordinates example-2 variable functions: graphs + limits tutorial

How to compute partial derivatives - Product + Quotient rule formulas: Partial derivatives - Partial derivatives: 2nd order examples - Basic partial differentiation and PDE example - Partial derivatives - Partial derivatives + PDEs tutorial - Tangent plane & normal vector example - Multivariable chain rule and differentiability - Chain rule: partial derivative of \$arctan (y/x)\$ w.r.t. \$x\$ - Chain rule: identity involving partial derivatives - two variables - 2nd derivatives example - Advection PDE + chain rule - Multivariable chain rule tutorial - Chain rule: differentiate integral example - Differentiate under integral signs: Leibniz rule - Leibniz' rule: Integration via differentiation under integral sign - Evaluating challenging integrals via differentiation: Leibniz rule - Gradient and directional derivative - Gradient & directional derivative tutorial - Application of gradient: temperature example

## Lecture 1: Vector Revision

4.1 ( 11 )

###### Lecture Details

Free ebook httptinyurl.comEngMathYTA review of vectors for those beginning vector calculus and several variable calculus. Such problems involving vectors are seen in first year university mathematics, physics and engineering.

#### 2.8

39 Ratings
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Excellent course helped me understand topic that i couldn't while attendinfg my college. 