Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

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. 

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Interpreting a p-value given the hypothesis.  Common misconceptions. 

Practice using the log rules to add and subtract logarithms

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Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Straight line graph formula

Calculate the functional value at a point.

Calculate the functional value at a point.

This exercise will help you rearrange a linear equation to find the value of a given variable

Factorising polynomials using the highest common factor

Simplifying algebraic expressions

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A demo of the match choices with answers part and its options.

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True/false question type to assess basic knowledge of confidence intervals.

Calculation of modulus, argument, multiplication by complex conjugate, given two complex numbers.

Characterise the cosh function as continuous, many-to-one, even, and find the limit as x approaches 1. Part of HELM book 2.4.3.

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

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These multiple-choice questions help you verify your understanding of key concepts from the lectures.

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.

This shows how to take an expression given by the student and plot the implicit curve of points where it equals zero.

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

Find the unit vectors in the direction of four 3-dimensional vectors. Three of the vectors are given, and the fourth is expressed as a linear combination of two of the other vectors.

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