A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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Find i using compound interest formula A=P(1+i)^n

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To provide for retirement an employee deposits R at the end of each month in an account that earns $perc% annual interest compound monthly. What is the future value of the annuity in nyears?

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A 1-year lease for a company car requires a payment of €280 at the end of each month. Find the present value of these payments if the annual interest rate is 7% compounded monthly.

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Compare two savings accounts with different interest rates.

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Calculate the annual interest rate for a savings account where A, P and n are given.

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A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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Pythagoras' Theorem and naming sides of right angled triangle

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Find the solution of $\displaystyle x\frac{dy}{dx}+ay=bx^n,\;\;y(1)=c$

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Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.

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Equations which can be written in the form

\[\dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(y),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x)f(y)\]

can all be solved by integration.

In each case it is possible to separate the $x$'s to one side of the equation and the $y$'s to the other

Solving such equations is therefore known as solution by separation of variables

5 indefinite integrals containing exponential functions

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It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

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$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.

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A student selects a card from a deck of 52 and rolls a dice once.

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Multiplication and addition of complex numbers. Four parts.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

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4 questions on integrating by parts.

5 questions on using substitution to find indefinite integrals.

Implicit differentiation including finding tangents

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.