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Refers to 2019 PD day

Red-Centre East Wing, RC-4082, Õ¬Äи£Àû Kensington Campus. See the Google map below for the location or find H15 on theÌý.

Public transport

For Public Transport information, please see theÌýÕ¬Äи£Àû Public Transport Page.ÌýComing from Central Station you can take light rail via the L2 Randwick Line or L3 Kingsford Line, or a bus service to the Kensington campus.

Parking

Parking is restricted on campus and in many nearby streets.Ìý If you plan to find a park on a nearby street you should arrive early and expect a long walk.Ìý Paid parking can be found close to the Central Lecture Block on the top floor of the Botany St carpark accessed via Gate 11 on Botany St.Ìý A pay and display parking permit obtained from a parking permit machine must be displayed.Ìý The cost can be found on theÌý.

TheÌýÌýhas parking map to help you find a place to park.

The descriptions below may be updated but we don't expect major changes before the day.

1. Vectors and geometryÌý(ME-V1)
   Vectors provide a powerful and elegant to way to describe and solve geometric problems and are essential in physics and engineering.Ìý Vectors will be introduced as both algebraic and geometric objects and used to prove results such as "the midpoints of the sides of a quadrilateral join to form a parallelogram".Ìý The dot product will be discussed and how it can be used to find the angle between two vectors. This presentation will start from the very basics. The initial fundamental material has been written to be of use in lesson planning. The later content will be new to most teachers.
2. Vectors, lines, forces and projectile motionÌý(MEX-V1, ME-V1)
   After a brief review of vectors through a game (please install the Kahoot app on your phone or bring your laptop), we will see how a straight line can be very naturally described using a point and a vector. The main focus of the session will be the applications of vectors to Mechanics. In particular, we will see how projectile motion can be restated in the language of vectors, and we will explore the benefits of this approach.
3. Vectors, lines and projectionsÌý(MEX-V1, ME-V1)
   Vector methods provide the simple and intuitive description of straight lines.Ìý This will be introduced in 2D and related to the Cartesian equation of a line but the real power of this approach becomes apparent in 3D where a single Cartesian equation for a line is no longer possible.Ìý This session will also introduce the idea of the projection of one vector onto another using the dot product.
4. Networks and pathsÌý(MS-N1, MS-N2)
   The rise of online social networks has put networks in a bright spotlight, not only for the general public but also for researchers across a wide range of research fields, including biology, psychology, computer science, physics and beyond. This workshop will present a useful glimpse into the study of networks. After presenting the basic definitions and properties of networks, paths, cycles, and trees, we will discuss and practice algorithms for solving practical problems on networks, such as finding shortest paths (as in Google Maps, for instance) and minimal spanning trees.
5. Critical Path AnalysisÌý(MS-N3)
   Critical path analysis is a tool for analysing a multistage process by modelling it as a network and finding the bottlenecks. This networks related topic from the new Stage 6 Mathematics Standard syllabus will be explained through the use of examples.
6. The max-flow/min-cut theoremÌý(MS-N3)
   The Max-flow/Min-cut Theorem relates the maximum through put of a network (eg water pipes, roads, the internet, etc) to the minimum cuts required to break the network. This networks related topic from the new Stage 6 Mathematics Standard syllabus will be explained through the use of examples.
7. Discrete random variables including the binomialÌý(MA-S1, MA-S2, ME-S1)
   A new word has appeared in the new syllabus in the probability section: Random Variable. We will explain and use this new terminology to revisit well known concepts, in particular the Binomial distribution. Random variables can be continuous or discrete -we will explain that too-, and our talk will focus on the discrete ones (There is another session about the continuous ones). We will discuss expected value and variance of random variables, what they mean, and what their properties are.
8. Continuous random variablesÌý(MA-S2, MA-S5, MS-S5)
   In this session, we introduce the basics of continuous random variables through discrete random variables. We will generalise the concepts of the expected value (mean), variance and quantiles to continuous random variable. To illustrate the theory, we will study examples including the continuous uniform random variable, the normal random variable and the Galton machine (Normal approximation to Binomial random variables).Ìý
9. Conditional probabilityÌý(MA-S1)
   Conditional probability was implicitly in the old syllabus when probabilities were calculated by restricting the sample space in stage 5, and by multiplying along branches of a tree in stage 6. It is now explicitly in the new syllabus with notation, a definition and a formalised concept of independence. The session will introduce this new approach to conditional probability and independence with plenty of opportunities to practice in familiar settings as well as building on concepts from the discrete random variable and continuous random variable sessions.

A separate day devoted to a hands on workshop on setting randomised assessments using NUMBAS will be held onÌýWednesday 23rd OctoberÌý(in the Red Centre, Room M020).ÌýThe workshop will run from 9am to 3pm. This day is a hands on workshop where you will learn to create your own randomised assignments and quizzes. It is a repeat of the previous day that was run earlier this year.

NUMBAS is a free open source web based system for creating and the automatic grading of randomised assessments. These assessments can provide customised feedback and worked solutions. For on overview of NUMBAS see their .

NUMBAS assessments run in a student's web browser, so no special software is required.Ìý They an be either stand alone webpages or integrated with LMSs such as Moodle, Canvas, etc.Ìý NUMBAS assessments and solutions can also be provided on paper.Ìý Teachers can draw from a bank of publically available questions but, more importantly, can easily construct their own, which can be shared within private groups of contributed to the public bank. While simple questions can be easily constructed with little expert knowledge, the system also allows more advanced users almost limitless freedom.

The day will start with an overview of NUMBAS but most of the day will be spent working with the system to construct questions and assessments. Participants should bring along examples of assessments that they would like to convert to this format.Ìý The questions and assessments produced on the day will be shared with the group and everyone should leave with a collection of assessments they can use in their teaching and the skills to create more.

For further information, contact Assoc Prof Jonathan Kress.Ìý Please also get in touch if you came to the previous workshop and want more help to go further.