These questions are designed to help you verify that you can successfully apply the techniques related to maximum-likelihood estimation we have learned in class, e.g., numerical and analytical derivation of estimators, construction of large-sample confidence intervals, and likelihood-ratio tests.

Classic problem of a vehicle parked on an incline.  Best solved by rotating the coordinate system.

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Classic machine problem.  Find the mechanical advantage of a pair of pliers and the force on the hinge pin.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

• This practice test should only be used as a guide for Assessment 1: Online Quiz.
• The questions in this practice test are an indication only of the type of content to be covered - the content of the Online Quiz is not limited to the content in the practice tests.
• The actual Online quiz may contain different question types including mutliple choice questions and short answer responses.  
• The assessable Online Quiz will not be the same as the practice tests.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Choosing whether given random variables are qualitative or quantitative.

In class test contributes about 30% of your assesment work. Make sure you write your REG number.

Using the chain rule with polynomials

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

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Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

A basic introduction to differentiation

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Quotient and remainder, polynomial division.

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

More work on differentiation with trigonometric functions

Differentiating further exponentials

Using the chain rule within product rule problems

Identifying the correct rule to use

An introduction to using the quotient rule

Identifying the correct rule to use

Identifying the correct rule to use

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

In four parts, the student builds up the definition of a class representing a rectangle. First they write the constructor, then add methods to compute area and perimeter.

In the final part, they must use the methods to write a function which determines if a rectangle's area is larger than its perimeter.

This shows one way of laying out matrix cells in a table, so that some cells can be filled in by the student.

At the time this was written, there's an open issue for allowing some entries in the matrix entry part to be filled-in, which would make this technique redundant.

Some CSS in the preamble adds the brackets around the table - it has to have the attribute class="matrix-gaps"

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.