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From Confused to Confident – One Video at a Time.

Minimum Spanning Trees and Greedy Algorithms

General Maths Units 1 and 2

This is the final video in the series and looks at some greedy algorithms to help us find minimum spanning trees (and, as extension, shortest path). I look at how to use Prim's Algorithm, Kruskal's Algorithm to find the minimum spanning tree and Dijkstra's Algorithm to find the shortest path. This …

Predicting and interpreting from a linear model

General Maths Units 1 and 2

This video looks at how we can use a linear regression equation (or least squares regression equation) to predict values. It forms part of the Year 11 General Mathematics course for VCE Mathematics. I look at how we can use the CAS to find a linear regression line and show examples of how we can pr…

Fitting a linear model to the data

General Maths Units 1 and 2

This video, forming part of the Year 11 General Mathematics course, looks at how we can fit a model to some data. Using the CAS we can find the least squares regression line and pearsons correlation coefficient to help us predict values we might have. I look at how to use the CAS effectively to fin…

Collinearity

Specialist Maths: Units 3 and 4

This is the fifth video in the series relating to Vectors as part of the Year 12 VCE (Units 3 and 4) Specialist Mathematics course. This content is important all over the world! Looking at what Collinearity, I explain what it means to be collinear and how we can use vector methods, to show that thr…

Vector Projections

Specialist Maths: Units 3 and 4

This is the fourth video in the series relating to Vectors as part of the Year 12 VCE (Units 3 and 4) Specialist Mathematics course. This content is important all over the world! Looking at what vector projections are and how they might come in useful for some of the more complex problems is covere…

Scalar Product of Vectors

Specialist Maths: Units 3 and 4

This is the third video in the series relating to Vectors as part of the Year 12 VCE (Units 3 and 4) Specialist Mathematics course. This content is important all over the world! Looking at what the scalar product is (or more honestly does!) I show how we can use the dot product to help us find angl…

Resolution of a vector into rectangular components

Specialist Maths: Units 3 and 4

This video is the second in the series looking at Vectors. In this I look at how we can resolve vectors into rectangular components. It forms part of the Year 12 Specialist Mathematics (VCE) Units 3 and 4 course. I take time to explain all the theory needed with a number of well explained worked ex…

Separation of Variables

Specialist Maths: Units 3 and 4

This is another video in the series relating to differentiation. Looking at the idea of Separation of Variables I look at examples of when this might be helpful. The video meets the requirements for the Year 12 VCE Specialist Mathematics (Units 3 and 4) course here in Australia but the content is u…

Differential Equations involving a function of the dependent variable

Specialist Maths: Units 3 and 4

This video is the third in a series looking at Differential Equations. Forming part of the Year 12 VCE Specialist Mathematics (Units 3 and 4) course in Australia, I look at how we can now solve equations which might be a function of the dependent variable. This really does build on the work we have…