Maths TutorOpen. To bridge the gap from school to university study, to revise or find the
maths topic you missed, you will want to meet mathtutor . Video tutorials, with ... Algebra - Arithmetic - Differentiation - Functions, graphs, sequences ...

To bridge the gap from school to university study, to revise or find the maths topic
you missed, you will want to meet mathtutor . Video tutorials, with diagnostics, ... Algebra - Arithmetic - Differentiation - Functions, graphs, sequences ...

Open. To bridge the gap from school to university study, to revise or find the
maths topic you missed, you will want to meet mathtutor . Video tutorials, with ...

Pascal's triangle and the binomial theorem - Maths TutorPascal's triangle and the binomial theorem ... In this tutorial you will learn how
Pascal's triangle can be used to obtain the required ... Video tutorial 54 mins.

Integration - Maths TutorIntegration is often introduced as the reverse process to differentiation, and has
wide applications, for example in finding areas under curves and volumes of ... Integration as summation - Integration as the reverse of ... - Integration by parts

To bridge the gap from school to university study, to revise or find the maths topic
you missed, you will want to meet mathtutor . Video tutorials, with diagnostics, ...

To bridge the gap from school to university study, to revise or find the maths topic
you missed, you will want to meet mathtutor . Video tutorials , with diagnostics, ...

Open. To bridge the gap from school to university study, to revise or find the
maths topic you missed, you will want to meet mathtutor . Video tutorials, with ...

Transposition of Formulae - Maths TutorIt is often useful to rearrange, or transpose , a formula in order to write it in a
different, but equivalent form. This unit explains the procedure for doing this.

Geometry & Vectors - Maths TutorEssential revision or learning for a wealth of disciplines like architecture, physics,
engineering or design. Understanding the qualities of circles, lines and cones ...

Volumes of solids of revolution - Maths TutorVolumes : Exercises . 1/3. 1 (i). Attempt the following questions. Find the volume
generated when the area is rotated about the x-axis: The area between the curve
...

Algebra - Maths TutorNever quite got your head around algebra ? Let mathtutor take the mystery out of
it with step by step progression. Tackle more challenging concepts in ...

Expanding And Removing Brackets - Maths TutorIn this unit we see how to expand an expression containing brackets . By this we
mean to rewrite the expression in an equivalent form without any brackets in.

Integration is often introduced as the reverse process to differentiation, and has
wide applications, for example in finding areas under curves and volumes of ...

Sigma notation - Maths TutorSigma notation is a method used to write out a long sum in a concise way. In this
unit rules for using sigma notation are established. Video tutorial 27 mins.

Finding areas by integration - Maths TutorFinding areas by integration . In simple cases, areas can be found by evaluating a
single definite integral . Sometimes the integral gives a negative answer, and ...

Maxima and minima - Maths TutorMaxima and minima . Because the derivative provides information about the
gradient of a graph of a function, we can use it to locate points on a graph where
the ...

x - a - Maths Tutor- 5cos x + 12sin x. 4cos x - sin x. click each to see the answer. submit. reset
exercise. next. 2/4. 1(ii). Attempt the following questions. -2cos x - 3sin x. -cos x +
3sin ...

Trigonometry - Maths TutorPythagoras' Theorem and pizzas? The theorem is meticulously described here
with an animation and extension material that brings the concept to real life (yes,
...

Open. To bridge the gap from school to university study, to revise or find the
maths topic you missed, you will want to meet mathtutor. Video tutorials, with ...

Pythagoras ' Theorem and pizzas? The theorem is meticulously described here
with an animation and extension material that brings the concept to real life (yes,
...

MathTutor functions , graphs, sequences & series - Maths TutorWhat are functions ? From an introduction of the basic concepts of functions to
more advanced functions met in economics, engineering and the sciences, these
...

To bridge the gap from school to university study, to revise or find the maths topic
you missed, you will want to meet mathtutor. Video tutorials, with diagnostics, ...

Arithmetic and geometric progressions - Maths TutorArithmetic and geometric progressions ... particular types of sequence known as
arithmetic progressions and geometric progressions, ... Video tutorial 65 mins.

a cos x + b sin x = R cos - Maths Tutorasinx + bcosx = Rcos( x - a) : Exercises. 1/4. 1(i). Attempt the following questions.
Each of the following expressions can be written in the form Rcos( x - a).

A solid of revolution is obtained by rotating a curve about the x-axis. There is a
straightforward technique, using integration, which enables us to calculate the ...

Simultaneous Linear Equations - Maths TutorSolve the following pairs of simultaneous equations. Type each answer as a
whole number or a fraction, e.g. 1/2. (or click on "no solution" if appropriate). y =
2x + ...

Integration by parts - Maths TutorA special rule, integration by parts , can often be used to integrate the product of
two functions. It is appropriate when one of the functions forming the product is ...

Hyperbolic functions - Maths TutorThe hyperbolic functions have similar names to the trigonometric functions, but
they are defined in terms of the exponential function. This unit defines the three ...

The gradient of a straight line segment - Maths TutorIn this unit the gradient of a straight line segment is found, and the relationships
between the gradients of parallel lines and perpendicular lines are explained.

Completing The Square Maxima And Minima - Maths TutorNever quite got your head around algebra ? Let mathtutor ... Completing The
Square Maxima And Minima. In this unit ... This technique has applications in a
number of areas, but we will see an example of its use in solving a quadratic
equation .

The chain rule - Maths Tutor1(i). Find the derivative dy/dx of each function. Notation: enter (e.g.) 2e^ x , -3^( x +
1), sin (1 - x ), 3/(1 - x ). 12. y = (3x - 7). y = sin (5x + 2). y = ln(2x - 1). 2 - 3x. y = e.

The range of f(x) = cosh. x for x 0. is 1 < f(x) < . cosh. x = sech x. 1. = coth x.
tanh x. = sinh. x. sinh x . submit. clear. hide question. 2. cosh x + sinh x = 1. cosh x
...

Differentiation - Maths TutorHow do you find a rate of change, in any context, and express it mathematically?
You use differentiation. Tutorials in differentiating logs and exponentials, sines ...

Pascal's triangle and the binomial theorem . A binomial expression is the sum or
difference of two terms. For example, x+1 and 3x+2y are both binomial ...

asinx + bcosx = Rcos( x - a) : Exercises. 1 /4. 1 (i). Attempt the following questions.
Each of the following expressions can be written in the form Rcos( x - a).

Open. To bridge the gap from school to university study, to revise or find the
maths topic you missed, you will want to meet mathtutor. Video tutorials, with ...

Who Makes Mathtutor ? We are a group of teachers, mathematicians and new
media producers from the Universities of Leeds, Lougborough and Coventry and
...

Fractions Basic Ideas - Maths TutorThis unit looks at the basic concept of fractions — what they are, what they look
like, why we have them and how we use them. Video tutorial 26 mins.

Extending the table of derivatives - Maths TutorUse the table to find each derivative . y = sec3x. y = tan4x. y = 1. y = sec . 4/5. 2(i).
Attempt the following questions. cos x. By writing cot x = and using the quotient ...

Completing The Square - Maths TutorCompleting The Square . Completing the square is an algebraic technique which
has several applications. These include the solution of quadratic equations.

The double - angle formulae - Maths TutorThe double - angle formulae . Double angle formulae are so called because they
involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A.

Factorising Quadratics - Maths TutorFactorising quadratics:Exercises. 1/5. 1. Revision: multiply out the brackets. 2.
Enter powers using the ^ key: for example, enter x as x^2. (x + 1)(x + 2). x(x - 7).

Differentiation from first principles - Maths TutorDifferentiation from first principles . What is differentiation? It is about rates of
change - for example, the slope of a line is the rate of change of y with respect to
x.

Logarithms - Maths TutorLogarithms appear in all sorts of calculations in engineering and science,
business and economics. Before the days of calculators they were used to assist
in the ...

Fractions are ways of writing parts of whole numbers. This unit looks at the basic
concept of fractions — what they are, what they look like, why we have them ...

The chain rule . A special rule, the chain rule , may be used to differentiate a
composite function (that is, a function of another function). Video tutorial 24 mins.

Properties of straight line segments - Maths TutorIn this unit a system of co-ordinates is described, and is used to find various
properties of the straight line between two points. The distance between the two ...

Simplifying Algebraic Fractions - Maths TutorSimplifying Algebraic Fractions. The ability to simplify fractions and to write them
in equivalent forms is an essential mathematical skill required of all engineers ...