An insight into theories related to derivatives and how they could be applied to real life problems
What you will learn
Understanding what is linear approximation theoretically
Examples of real life applications of linear approximation theory
Learning about finding Maximum and Minimum of curves
Understanding what are critical points, global or local maximum, and minimum points
Real life examples of finding glonal or local Max. & Min. points
Understanding what are equations describing circles, ellipses, parabolas, and hyperbolas
Using equations of geometric shapes as parabolas, and hyperbolas to solve problems related to real life
Understanding what is the mean value theorem
Using some problems related to real life to grasp more of what is mean value theorem
Learning about l’hopital’s Rule of calculus
Examples for l’hopital’s Rule using real life scenarios
Why take this course?
Hello,
Welcome to Calculus:Β Applications of Derivatives course.Β Many of us has already learned what are derivatives through either college lectures or through self learning.Β But what was really important is how could we apply the knowledge we have gained through learning to other applications including studying motions of bodies, predicting fluctuations of stock markets, finding at which speed you’re driving, checking temperature variations, calculating profits or losses, etc…
In this course, we take a quick refresher on what are first derivatives then mention how they could be used in some real life scenarios. Not all examples are real life cases. However, they give you a sense of how we could use derivatives through a set of theories proposed by great math scientists.
The structure of the course is divided into a lecture & a section mode. In each lecture, theories are stated and demonstrated through some examples. Mostly are either real life cases or related to real life problems. Then using sections, we have extra examples that make things more clear.
The course also includes notes which are the problems that are solved during lectures & sections in PDF downloadable format.
The course uses Prof. Gilbert Strang Calculus as a reference. The book is available to download for free from the MITΒ Open courseware hub.
To get the best out of the course you shall go through lectures, and sections first then start solving the problems on your own. It would be perfect to try on extra problems through the reference book.
Would always be happy to help and wish you get the best out of the course.
Thank you,