Content assessed : complex arithmetic; argument and modulus of complex numbers; de Moivre's theorem.

This complex numbers in-class assesment counts 20% towards your final maths grade for WM104.

Note that although questions are randomised for each student, all questions test the same learning outcomes at the same level for each student.  

If you have any questions during the test, please put up your hand to alert the invigilator that you need attention. 

Q1. True/false questions about basic facts.

Q2 and Q3. Velocity-time graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, definite integrals of v ar eto be determined.

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

Q1. True/false questions about basic facts.

Q2 and Q3. Velocity-time graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, changes in position, distances are to be calculated.

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

Some questions which demonstrate the adaptive marking feature.

Questions about how the course is organised.

These questions show how to use JSON data to represent structured information.

Identify parts of statistical formulas, and answer questions about how changing one variable affects the statistic.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Statistics and probability. Two questions: using LSD and Tukey yardsticks.

Practice bank of multivariable calculus questions

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

A collection of true/false questions aiming to reveal misconceptions about concepts encountered in a first year pure maths course.

Statistics and probability. 2 questions, 1 on two sample t-test and 1 on paired t-test.

Four questions on finding least upper bounds and greatest lower bounds of various sets.

Minitab was used to fit an AR(1) model to a stationary time series. Given the output answer the following questions about the model and use the model to make forecasts.

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$. 

Finding probabilities from a survey giving a table of data on the alcohol consumption of males. This can be easily adapted to data from other types of surveys.

Eight questions on finding least upper bounds and greatest lower bounds of various sets.

Multiple response question (2 correct out of 4) covering properties of Riemann integration. Selection of questions from a pool.

One question on determining whether statements are propositions.

Four questions on find truth tables for various logical expressions.

Questions on using quantifiers.

Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.

Some more questions on set theory - covering set builder notation, cartesian products, complements.