121 results authored by Harry Flynn - search across all users.
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Given vectors \boldsymbol{v} and \boldsymbol{w}, find their inner product.
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Given vectors \boldsymbol{v} and \boldsymbol{w}, find their inner product.
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Find the solution of a first order separable differential equation of the form a\sin(x)y'=by\cos(x).
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Determine if various combinations of vectors are defined or not.
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Elementary operations on vectors; sum, modulus, unit vector, scalar multiple.
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Find the unit vector parallel to a given vector.
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Directional derivative of a scalar field.
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Curl and divergence of a vector field. Determine whether the vector field is irrotational or solenoidal.
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Divergence of vector fields.
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Solve: \displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1 and y'(0)=c.
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Solve: \displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c and y(1)=d. (Equal roots example).
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Solve for x(t), \displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0
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Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.
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Gradient of f(x,y,z).
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Find the stationary points of the function: f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy by choosing from a list of points.
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Gradient of f(x,y,z).
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Questions about Pythagoras' theorem
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Several quadratics are given and students are asked to complete the square.
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Finding values which satisfy an inequality.
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Multiples, factors, lowest common multiples and highest common factors.
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This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.
All of these can be done without a calculator.
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Cancelling to reduce a fraction to its lowest terms.
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This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.
All of these can be done without a calculator.
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No description given
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No description given
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Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.
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Simplify algebra expressions
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Sample of size 24 is given in a table. Find sample mean, sample standard deviation, sample median and the interquartile range.
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Harry's copy of Julie's copy of Jack's copy of SOEE5154 - Mean, median, mode and standard deviation Draft
Exam covering questions on the Errorsr part of the SOEE5154M Maths course.
Topics covered are calculating the mean, median, mode and standard deviation.
rebelmaths
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No description given
