Ruby L.

Ruby L.

£18 - £20 /hr

MMath Mathematics (Integrated Masters) - Manchester University

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About me

I'm a second year mathematics student at the University of Manchester. I am a trained PASS leader at my university, I run weekly PASS (peer assisted study sessions) in which I help first year students with anything they are struggling with to do with their course. Having lived in France for 6 years as a teenager, I am a confident french speaker.

I was self-taught for my GCSEs and A levels which gave me good independent learning skills.

I am on the committee of the board games society at my university and I enjoy baking and drawing in my free time.

I'm a second year mathematics student at the University of Manchester. I am a trained PASS leader at my university, I run weekly PASS (peer assisted study sessions) in which I help first year students with anything they are struggling with to do with their course. Having lived in France for 6 years as a teenager, I am a confident french speaker.

I was self-taught for my GCSEs and A levels which gave me good independent learning skills.

I am on the committee of the board games society at my university and I enjoy baking and drawing in my free time.

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About my sessions

My sessions are tailored to the student. In an initial session we will discuss what the student wants to get out of tutoring and then sessions will focus on topics the student is struggling with. I explain the material, check for understanding and then go through examples with the student until they are confident with the topic. I make use of graphs and diagrams to assist explanations where appropriate.

Whilst preparing for my exams I found that past papers where an invaluable practice and I will incorporate past paper questions into my sessions to make sure all topics covered remain related to the exams.

My sessions are tailored to the student. In an initial session we will discuss what the student wants to get out of tutoring and then sessions will focus on topics the student is struggling with. I explain the material, check for understanding and then go through examples with the student until they are confident with the topic. I make use of graphs and diagrams to assist explanations where appropriate.

Whilst preparing for my exams I found that past papers where an invaluable practice and I will incorporate past paper questions into my sessions to make sure all topics covered remain related to the exams.

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Personally interviewed by MyTutor

We only take tutor applications from candidates who are studying at the UK’s leading universities. Candidates who fulfil our grade criteria then pass to the interview stage, where a member of the MyTutor team will personally assess them for subject knowledge, communication skills and general tutoring approach. About 1 in 7 becomes a tutor on our site.

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Qualifications

SubjectQualificationGrade
MathematicsA-level (A2)A*
Further MathematicsA-level (A2)A*
PhysicsA-level (A2)A*
FrenchA-level (A2)A*

General Availability

MonTueWedThuFriSatSun
Pre 12pm
12 - 5pm
After 5pm

Pre 12pm

12 - 5pm

After 5pm
Mon
Tue
Wed
Thu
Fri
Sat
Sun

Subjects offered

SubjectQualificationPrices
Further MathematicsA Level£20 /hr
MathsA Level£20 /hr
FrenchGCSE£18 /hr
Further MathematicsGCSE£18 /hr
MathsGCSE£18 /hr
PhysicsGCSE£18 /hr
Maths13 Plus£18 /hr
Maths11 Plus£18 /hr

Questions Ruby has answered

Find the values of x for which f(x) is an increasing function given that f(x)=8x-2x^2

When a function is increasing, it’s derivative is positive. So first let us differentiate f(x). To differentiate xn we multiply by n and then reduce the power by 1. So f’(x)=8-2*2x=8-4x. We want to find the values of x for which the derivative is positive i.e. f’(x)>0. So we want to find the values of x for which 8-4x>0. We need to rearrange the inequality to isolate x. Firstly, subtract 8 from both sides to give -4x>-8, then divide both sides by -4, making sure to reverse the inequality sign since we are dividing by a negative number, to get x<2. Hence our function has a positive derivative when x is less than 2, so our function f(x) is increasing for all x<2.
When a function is increasing, it’s derivative is positive. So first let us differentiate f(x). To differentiate xn we multiply by n and then reduce the power by 1. So f’(x)=8-2*2x=8-4x. We want to find the values of x for which the derivative is positive i.e. f’(x)>0. So we want to find the values of x for which 8-4x>0. We need to rearrange the inequality to isolate x. Firstly, subtract 8 from both sides to give -4x>-8, then divide both sides by -4, making sure to reverse the inequality sign since we are dividing by a negative number, to get x<2. Hence our function has a positive derivative when x is less than 2, so our function f(x) is increasing for all x<2.

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4 days ago

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