Maths Tuition A Guide To Differentiation And Integration

Maths Tuition A Guide To Differentiation And Integration A Maths Tutor Guide to Differentiation And Integration ChaptersWhat Is Differentiation?When And Where Might I Need To Use Differentiation?An Introduction To Basic Differentiation TechniquesAn Introduction To Integration TechniquesOnce you have rearranged the formula, you can then safely integrate on both sides like[`int_{}^{} u frac{ ext{d}v}{ ext{d}x} dx = int_{}^{} frac{ ext{d}(uv)}{ ext{d}x} dx - int_{}^{} v frac{ ext{d}u}{ ext{d}x}dx`]before the final step, which is to simplify the entire formula.This will ultimately leave you with[`int_{}^{} u frac{ ext{d}v}{ ext{d}x} dx = u v - int_{}^{} v frac{ ext{d}u}{ ext{d}x}dx`]If you are a English student too, think of the above process of simplifying the formula as sort of a way to write it in shorthand.Why Do I Need To Learn Integration Techniques?When we have so many pieces of software that can now use Integration techniques to simplify and work out formulas, why do we need to learn about the methods as students?The simple answer is that nobody really knows if they will actually use these tools in the future, but isn't it nice to know how the technology you are using operates and to know that you could potentially do the working out in the event that computers ever become extinct, albeit a little slower (not that we can expect that to happen any time soon!)?While some may think that these techniques have no practical application and are therefore a bit of a waste of time, it is important to remind oneself that the professionals behind the syllabus are merely trying to help you build up an intellectual understanding of complicated mathematical processes while encouraging you to develop logical intuition.Remember also that, while your A Level course may offer a somewhat rigid approach to learning techniques related to Differentiation and Integration, you will have the opportunity in future to learn different patterns, some that may even be self-taught, if you ever decide to follows steps and processes without the aid of a computer. Or you can learn them with maths tut ors who will help you find the technique best suited to your learning style.Whether this is as part of a degree, a Masters degree or during your mathematical career, you will no doubt find some (if not tonnes of) uses for the methods taught during this A Level course.For more Maths lessons, see below:Solving Exponentials and Logs: A guide  Solving Mechanic Forces: A guide