#Calculus learn free

The geometry of a vector (its magnitude, direction and representing vectors as “arrows” in coordinate systems).Basic vector operations (addition, dot product, cross product) and the geometry behind these.I’ve found that most resources on vector calculus do indeed cover basic vector algebra also, but it helps a lot to be familiar with these basics first.įor basic vector algebra, you should understand at least the following concepts before learning anything else: In vector calculus, you’re going to be basically combining calculus with vectors and geometry. Therefore, learning to work with vectors is essential regarding vector calculus. These are geometric objects that are used to encode lengths and directions (although there are also many more advanced definitions). Vector calculus, as the name may suggest, is based on the concept of vectors. The course also comes with a workbook with practice problems and solutions. However, my own Vector Calculus For Physics -course includes all of the basics as well as the main topic of vector calculus, of course. 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 Vector Calculus For Physics: A Complete Self-Study Course (link to the course page), which I created exactly for this purpose. Study from a resource specifically on vector calculus.All of the necessary resources for this are covered in detail in my Vector Calculus For Physics: A Complete Self-Study Course (link to the course page). Get familiar with the basics of multivariable calculus.

#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.