In my opinion, there is no need to buy anything for learning basic topics like calculus or geometry. Next, I’ll explain each of these steps in more detail as well as give you some resource alternatives like textbooks if you’d rather read than watch lecture videos online.Īlso, notice that most of the resources given above are free. My #1 recommendation for this would be my own Advanced Math For Physics: A Complete Self-Study Course (link to the course page), which I created exactly for this purpose.
Calculus learn free#
An excellent free resource for this would be the Differential Equations -playlist by Professor Leonard (link to Youtube). Study ordinary differential equations (not absolutely necessary, but very helpful).Trefor Bazett’s linear algebra -playlist (link to Youtube). Learn the basics of linear algebra (not absolutely necessary, but it’ll help).My favourite free resource for this is the Calculus 1 -playlist by Professor Leonard (link to Youtube).
My #1 recommendation and an excellent free online resource for this is Khan Academy (link to their website). Learn basic vector algebra and geometry.Later in the article, I’ll also explain everything you need to know and what to expect on your journey to master vector calculus as well as some of my best tips. These steps are either what I’ve done myself that have personally been beneficial to me or what I would do in case I was to start learning vector calculus from scratch. Next, let’s actually take a look at the practical steps you need to take to learn all these prerequisites and then what to do to learn vector calculus.ĭown below are my recommended steps for learning vector calculus as well as my #1 resource recommendations for each. These more so optional prerequisites are: However, there are also a few things that will definitely be helpful to learn as well, but not strictly necessary. You’ll find more on specifically what you need to know from these areas and where you can learn these later in this article. In my opinion, you’ll be able to learn vector calculus quite well with just these. Basic vector operations and the geometry of these.Now, there are only a couple prerequisites you absolutely need to get by when learning vector calculus. You should also learn basic vector operations like addition and dot products as well as the basics of analytic geometry, which involves using coordinate systems to represent various geometric concepts. Vector calculus also equivalently goes by the name of multivariable calculus, as these are pretty much the same area of mathematics.īefore learning vector calculus, you should have a solid understanding of single-variable calculus.
Basically, vector calculus is the study of applying basic calculus concepts (such as derivatives and integrals) to vectors.
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