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1592 results for "with".

Number of ways of choosing subsets with a condition,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

No description given
Pigeonhole principle - greatest number of people with birthdays in the same month,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

No description given
Contour integral of a complex-valued function
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Contour integral of a complex-valued function $f(z)$ with the poles of $f(z)$ either inside or outside the path $C$ .
Decision analysis: determine maximin, maximax, minimax regret actions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a payoff table with two states and five actions, identify which actions are admissible, then the maximax, maximin, and minimax regret actions.
Decision analysis: expected value criteria
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Given a payoff table with two states and five actions, identify which actions are admissible, then the maximax, maximin, and minimax regret actions.

Should state that input is by integers or fractions. Also the maximax, maximin and minimax regret actions are not asked for.
Decision analysis: expected value of perfect information
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a payoff table with two states and five actions, identify which actions are admissible, then the maximax, maximin, and minimax regret actions.
Decision analysis: identify admissible actions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a payoff table with two states and five actions, identify which actions dominate others, and identify admissible actions.
De Moivre's Theorem: Negative Powers
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find negative powers of the complex numbers.
Find least upper bounds and greatest lower bounds of various sets
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Eight questions on finding least upper bounds and greatest lower bounds of various sets.
Function approximation
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Approximate $f(x)=(a+h)^{m/n}$ by $f(a)+hf^{\prime}(a)$ to 5 decimal places and compare with true value.
Limiting speed given acceleration function,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

An object moves in a straight line, acceleration given by:

$\displaystyle f(t)=\frac{a}{(1+bt)^n}$ . The object starts from rest. Find its maximum speed.
Roots of a quartic real polynomial
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots.
Second order ODE with constant coefficients and boundary conditions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .
Separable first order ODE with boundary condition
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x(t)$ , $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$
Solve a second order ODE with repeated roots,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example).
Taylor series (three terms)
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$ .
Find the equation of a line with given gradient through a given point
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find the equation of a straight line which has a given slope or gradient $m$ and passes through the given point $(a,b)$ .

There is a video in Show steps which goes through a similar example.
Perform a t-test to decide if two sample means differ, ,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation.

Link to use of t tables and p-values in Show steps.
Perform t-test for hypothesis given sample mean and standard deviation
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.
Perform z-test for hypothesis given sample mean and population variance
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Provided with information on a sample with sample mean and known population variance, use the z test to either accept or reject a given null hypothesis.
Solve a quadratic with the formula
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.
Solve an equation with a reciprocal
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x$ : $\displaystyle \frac{a} {bx+c} + d= s$
Algebra revision
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Exam (16 questions) in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.
Working with standard index form
Ready to use
Question in Transition to university by Stanislav Duris and 1 other

Convert a variety of numbers from decimal to standard index form.
Weight and Mass
Ready to use
Exam (4 questions) in Transition to university by Christian Lawson-Perfect

Work with measurements of weight, mass and density.
Units of measurement
Ready to use
Exam (12 questions) in Transition to university by Christian Lawson-Perfect

A collection of questions on working with units of measurement, mainly in the SI/metric system.

Several 'real-world' examples.
Surds
Ready to use
Exam (3 questions) in Transition to university by Christian Lawson-Perfect

Some questions on working with surds.
Solving Quadratic Equations with $x^2$ Coefficients of 1 by Factorising
Should not be used
Question in Transition to university by Hannah Aldous

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.
Limits of accuracy in measuring weight in a gym scenario
Ready to use
Question in Transition to university by Stanislav Duris and 1 other

Work with lower and upper bounds for estimates of weight.
Probability
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Exam (15 questions) in Transition to university by Christian Lawson-Perfect

Calculations involving elementary probability, and several questions designed to draw out misconceptions to do with probability.

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