I am a first year geography student at Durham University, with a passion for the human side. Ever since primary school I have had the desire to understand how the world works, and I hope that this comes across in my tutorials. Aside from geography, I have a flair for mathematics which I am comfortable tutoring at both basic and further.
The subject of each and every tutorial will be up to the student, my aim is not to force people to learn, but rather provide a helping hand to those who have a want to. If there are topics that a student is struggling to understand either in class or at home, I will try to offer a different perspective on the problem in order to improve clarity. This will come from the use of diagrams, extended detailing of method, and posing questions to the student themself amongst other methods. I am willing to take time between tutorials to conduct my own research should this be necessary. My aim is to be able to get the student to explain things to me in top-mark detail, whilst making my sessions as fun as possible!
I have mentored mathematics during my time in sixth-form and have had large success with getting my students to grasp concepts which they were unable to before. My approach has and always will be the same, not to force. If a student seems distracted or distant, I will switch up my methods to attempt to be more engaging. Aside from direct tutoring experience, I was part of a Young Enterprise company which aimed to link tutors and tutees based on subject expertise, much like MyTutorWeb, and as such I have learned useful techniques from my fellow tutors.
If you like the look of my profile you can book a free "Meet the Tutor" session with me to see if I'm a good match in person. You can also drop me a mail through the site, I am usually able to respond within 24 hours. That's it! I look forward to meeting you soon, and thank you for checking out my profile!
|Geography||A Level||£20 /hr|
|Further Mathematics||GCSE||£18 /hr|
Oliver (Student) May 11 2016
By quoting De Moivre's theorem, (r(cos(x) + isin(x)))n = rn(cos(nx) + isin(nx)), we can realise that cos(4x) is a result of the real parts of (cos(x) + isin(x))4
Using binomial expansion: (where c = cos(x) and s = sin(x))
(cos(x) + isin(x))4 = c4 + 4c3is + 6c2(is)2 + 4c(is)3 + (is)4
= c4 +4c3is - 6c2s2 - 4cis3 + s4
The real parts of this are c4, -6c2s2 and s4
Therefore, cos(4x) = c4 - 6c2s2 + s4
s2 = 1 - c2
6c2s2 = 6c2(1-c2) = 6c2 - 6c4
s4 = (1 - c2)2 = 1 - 2c2 + c4
By substituting these in:
cos(4x) = c4 - 6c2 + 6c4 + 1 - 2c2 + c4
= 8c4 - 8c2 + 1see more
By recalling that eln(a) = a, you can rewrite 32x as e2xln(3).
Then, you can differentiate this like any other e function, by using the product rule.
d/dx (e2xln(3)) = e2xln(3) x d/dx (2xln(3))
d/dx (e2xln(3)) = e2xln(3) x 2ln(3)see more
Countries they operate in
+ Provide employment opportunities in developing nations - Coca-Cola factory in Egypt employs 12000 people and created 120000 indirect jobs
+ Help developing nations enter the global market through FDI - Coca-Cola $1.5bn in Brazil and $1.5bn in Russia
+ Bring communities closer as factories in rural parts of the country may employ the majority of the surrounding towns' people.
- Harm ecosystems for the sake of profit - Coca-Cola factory in Kerala, India shut down due to contamination of local water sources
- Exploit cheap labour - poor conditions recorded in Foxconn factories (Apple's manufacturing partner) in China, such as poisoning via LCD screen cleaner.
+ By outsourcing big business, leaves more space for local businesses to thrive and grow.
+ Countries which the TNC operates in will more easily become trading partners
- Tax avoidance (e.g Amazon) by basing company headquarters elsewhere.
- Fewer jobs in home nation due to outsourcing of labour - Dyson moved their main factory to Malaysia, 800 workers lost jobssee more