Cartesian coordinates | Lecture 2 | Vector Calculus for Engineers

[@ProfJeffreyChasnov]

Find other Vector Calculus videos in my playlist kzbin.info/aero/PLkZjai-2JcxnYmkg6fpzz4WFumGVl7MOa

[@mohammedroshan1927]

Till now i didnt know why was i using i,j,k . You just cleared it in a minute... Hats of to you man ...

[@taslinafardeoush6571]

Those are called unit vector as a symbol of x ,y & z axis .

[@SAIROSHAN-li4bx]

thank you i am in grade 9 at a age in my country where this isnt taught. your video helped me learn and the understand the concept easily.I am subscribing your channel immediately

[@kingrenny]

You made this make sense in 10 minutes. Thanks!

[@mohammadnaser5531]

Nothing's describe my thankful to you for all these videos

[@tinalgh4636]

I'm agree too

[@hassansameh3404]

بدأت سلسة جديدة في ال Vector Calculus في السلسلة دي هتناول المواضيع التالية بشرح تفصيلي، (تقريباً هفسر كل حاجة بحيث مفيش حاجة متبقاش مفهومة) 1: Vectors : 1.1: Elementary Mathematical Operations 1.2: Scalar Product 1.3: Vector Product 1.4: 'Higher' Vector Products 1.5: Basis Vectors 1.6: Component Representations 2. Vector-Valued Functions: 2.1: Parameterization of Space Curves 2.2: Differentiation of Vector-Valued Functions 2.3: Arc Length 2.4: Moving Trihedron 3. Fields: 3.1: Classification of the Fields 3.2: Partial Derivatives 3.3: Gradient 3.4: Divergence and Curl (Rotation) 4. Coordinate Systems 4.1: Transformation if Variables, Jacobian Determinant 4.2: Curvilinear Coordinates 4.3: Cylindrical Coordinates 4.4: Spherical Coordinates دا لينك ال playlist kzbin.info/aero/PLp6poodbfHB9ruHrllPeJKoXuWZ5gG7q1 ودا الكتاب اللي هشتغل منه إن شاء الله www.amazon.com/Theoretical-Physics-1-Classical-Mechanics/dp/3319401076 تعديل: نسيت باقي المواضيع اللي هيتم شرحها إن شاء الله بس من الكتاب التاني 5.1: Dirac's Delta Function 5.2: Taylor Expansion 5.3: Surface Integrals 5.3.1: Oriented Surface Elements 5.3.2: Surface Integrals 5.4: Differentiation Processes for Fields 5.4.1: Integral Representation of the Divergence 5.4.2: Integral Representation of the Curl 5.5: Integral Theorems 5.5.1: The Gauss Theorem 5.5.2: The Stokes Theorem 5.5.3: The Green Theorems 5.6: Decomposition and Uniqueness Theorem for Vector Fields 5.6.1: Decomposition Theorem 5.6.2: Uniqueness Theorems لينك الكتاب التاني: www.amazon.com/Theoretical-Physics-Electrodynamics-Wolfgang-Nolting/dp/331940167X

[@joharkhamis6818]

Great!! Big fan...keep going 🙂

[@DevPatel04]

At 8:15 , Jeff says that the displacement vector connects two vectors. Then in the example he gives, there are two masses at those points (scalars) and then 1 force connecting them? Can displacement vectors be between two scalars like he used the example of , or does it have to be two vectors (which would contradict the video) ? I have a misinterpretation/misunderstanding, please correct me .

[@ProfJeffreyChasnov]

The two vectors are the position vectors of the masses.

[@DevPatel04]

@@ProfJeffreyChasnov ohhhh, okay! Thank you so much Jeffrey. I highly appreciate the tremendous effort you put in !

[@aprilmauricio9975]

your videos helped me a lot. thank you so much ^^

[@tameroduncu8175]

Helped a lot 🙌

[@tinalgh4636]

Perfect, thank you so much

[@vanjake-m3l]

Thanks so much sir 🙏 God bless us

[@qurbanalizangi8522]

Well lecture sir

[@alabitemidayo505]

Quite explanatory Thanks 😊

[@pablopintadoruiz52]

Super useful thank you very much

[@Hitmajethiya]

Thank you sir 😀😀

[@graphicsdesignlearning7463]

Don’t take offense sir but you’re kind of a J.K. Simmons lookalike. Or maybe lack of pictures of Spider-Man made Mr. Jameson into an awesome physics tutor.

[@mybuddy11]

thanks

[@heavenlyknighthood]

Hello Jeffrey, I have no idea if you read any of the comments on here, however I was wondering if you could explain a little more about where the I,j and k system comes from.

[@ProfJeffreyChasnov]

I guess you are asking about the notation for the unit vectors? There was a big argument in the late 1800's between advocates of quaternions and those of vector calculus. Vector calculus won and quaternions are no longer taught to students. The notation comes from quaternions. i, j, k were all the square root of -1, but were co-opted by vector calculus to become the Cartesian unit vectors.

[@heavenlyknighthood]

@@ProfJeffreyChasnov Dear Jeffrey, yes I was. I was also wondering if you have got any videos on just calculus and how to find derivatives? I like your teaching method and find it easy to follow. I don't mean the rules of derivatives but how to find the initial derivatives to start with?

[@ProfJeffreyChasnov]

@@heavenlyknighthood I didn't do calculus. I'm still working on the 2nd year math courses for engineers.

[@pinklady7184]

Imaginary numbers i, j, and k came from Sir William Rowan Hamilton who got his inspiration at the Broom Bridge in Dublin, Ireland. In the past, I had numerous times passed under the bridge on a railway line. I suppose Broom Bridge has rubbed something into me - my interest in maths. It is a two-mouthed bridge, under which there are a railway line and a canal nearby. en.m.wikipedia.org/wiki/Broom_Bridge

[@curtpiazza1688]

Great! 😂 🎉

[@melvinreddy4067]

Need help with a problem

[@SATUTORIAL]

Thank you Sir 🙏

[@alexj.denton7453]

I wonder how did he learnt mirror writing very impressive 💯🤔?

[@ambrosefox8406]

Can I please replace you with my lecturer