Bogdan-Adrian M. A Level Maths tutor

Bogdan-Adrian M.

Currently unavailable: for regular students

Degree: Mathematics and Computer Science (Masters) - Bristol University

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About me

I am an undergraduate, Mathematics and Computer Science student at the University of Bristol. In 2014 I graduated from "Petru Rares" National College passing my Baccalaureate exam with 10/10 in Mathematics. I participated in numerous mathematics competitions and Olympiads; my best result was achieved in the 2014 "National Olympiad in Mathematics" where I obtained a Bronze Medal. In April 2013 I successfully attended a program called "Teacher for a day" on mathematics.

 My expertise areas include topics such as Number Teory and Group Theory, Calculus & Analysis, Algebra, Complex Numbers, Linear Algebra (in particular vectors and matrices) and Combinatorics (specially elements of Graph Theory). As far as the tutorials are concerned I am happy to explain key concepts and useful results, solve problems of various levels of difficulty, check the solutions proposed by the student and compare them with model solutions, or anything else required.

Mathematics, apart from being extremely useful in our daily life, it is a very beautiful subject. Part of my task will be to help you see its beauty behind coplicated equations and, so called, "hard to remember" formulae. Once that is accomplished, problems will become exercises and exercises will become an easy and enjoyable task.   

Subjects offered

SubjectLevelMy prices
Maths A Level £20 /hr
Maths GCSE £18 /hr

Qualifications

QualificationLevelGrade
MathematicsBaccalaureate10
ProgrammingBaccalaureate9.95
Romanian Language and LiteratureBaccalaureate9.60
Disclosure and Barring Service

CRB/DBS Standard

No

CRB/DBS Enhanced

No

Currently unavailable: for regular students

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Questions Bogdan-Adrian has answered

Given that (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = 7, show that tan(x)^2 = 3/2

First, we use 1 - sin(x)^2 = cos(x)^2 and get: (LHS) (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = (cos(x)^2 + 4 sin(x)^2)/cos(x)^2 = 1 + 4 (sin(x)/cos(x))^2 = 1 + 4 tan(x)^2 Now we know that the left hand side is equal to 7. Hence, 1 + 4 tan(x)^2 = 7  <=> tan(x)^2 = 3/2

First, we use 1 - sin(x)^2 = cos(x)^2 and get:

(LHS) (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2)

= (cos(x)^2 + 4 sin(x)^2)/cos(x)^2

= 1 + 4 (sin(x)/cos(x))^2

= 1 + 4 tan(x)^2

Now we know that the left hand side is equal to 7.

Hence, 1 + 4 tan(x)^2 = 7  <=> tan(x)^2 = 3/2

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10 months ago

247 views

If y = 1/(x^2) + 4x, find dy/dx

First, notice that 1/(x^2) = x^(-2) dy/dx = d/dx (x^(-2) + 4x) The derivative of the sum is the sum of the derivatives = d/dx (x^(-2)) + d/dx (4x) The derivative of x^n is nx^(n-1), for every real number n, and a constant gets in front of the deivative = -2 x^(-3) + 4 d/dx (x) = -2/(x^3) + 4

First, notice that 1/(x^2) = x^(-2)

dy/dx = d/dx (x^(-2) + 4x)

The derivative of the sum is the sum of the derivatives

= d/dx (x^(-2)) + d/dx (4x)

The derivative of x^n is nx^(n-1), for every real number n, and a constant gets in front of the deivative

= -2 x^(-3) + 4 d/dx (x)

= -2/(x^3) + 4

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10 months ago

251 views

The quadratic equation 2x^2 + 8x + 1 = 0 has roots x1 and x2. Write down the value of x1+x2 and x1*x2 and find the value of x1^2 + x2^2

If a quadratic equation is of the form : ax^2 +bx +c =0 and has roots x1 and x2, then the following statements are true: x1+x2 = - b/a x1*x2 =  c/a In our case: x1+x2 = - 8/2 = -4 and x1*x2 = 1/2 Now, x1^2 + x2^2 = (x1+x2)^2 -2*x1*x2 = (-4)^2  -2 * 1/2 = 16 - 1 = 15

If a quadratic equation is of the form : ax^2 +bx +c =0

and has roots x1 and x2, then the following statements are true:

x1+x2 = - b/a

x1*x2 =  c/a

In our case: x1+x2 = - 8/2 = -4

and x1*x2 = 1/2

Now, x1^2 + x2^2 = (x1+x2)^2 -2*x1*x2

= (-4)^2  -2 * 1/2 = 16 - 1 = 15

see more

10 months ago

236 views
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