Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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Practice of basic transpositions. Doesn't include roots

Differential equations.

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5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

4 questions on using partial fractions to solve indefinite integrals.

4 questions on integrating by parts.

5 questions which introduce the student to the Numbas system.

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Simple Linear Equations, substitution

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

More work on differentiation with fractional coefficients.

Differentiate $f(x) = (a x + b)/ \sqrt{c x + d}$ and find $g(x)$ such that $ f^{\prime}(x) = g(x)/ (2(c x + d)^{3/2})$.

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

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Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

rebelmaths

Mean, median and mode from a frequency table with classes 1(b)

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Mean, median and mode from a frequency table with classes 1(b)

rebelmaths

Compare two savings accounts with different interest rates.

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Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order. 

Solve for x and y on a given triangle and calculate the area

rebelmaths

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