Kevin Streater talks on employability following postgraduate study
Kevin Streater, Executive Director, IT & Telecoms, shares his views on how study within the IT environment helps employability
http://www3.open.ac.uk/study/postgraduate/index.htm
Crop Coefficent Study
The Center for Agriculture at UMass Amherst is studying ways to preserve irrigation water on sites such as golf courses, which would reduce leaching rates and protect water supplies from pesticide and other chemical contamination.
EngMath: Method of Lagrange multipliers. Chris Tisdell UNSW Sydney
I discuss a simple example highlighting the method of Lagrange multipliers. Such methods rely on ideas from multivariable calculus and are seen in 2nd year university mathematics subjects.
The method of Lagrange multipliers is a very powerful technique enabling us to maximize or minimize a function that is subject to a constraint. Such kinds of problems frequently arise in engineering and applied mathematics, eg, designing a cylindrical silo to maximize its volume subject to a certain fixed a
EngMath: Lagrange Multipliers + 2 constraints. Chris Tisdell UNSW Sydney
I discuss a more difficult example highlighting the method of Lagrange multipliers with two constraints. Such methods rely on ideas from multivariable calculus and are seen in 2nd year university mathematics subjects.
The method of Lagrange multipliers is a very powerful technique enabling us to maximize or minimize a function that is subject to a constraint. Such kinds of problems frequently arise in engineering and applied mathematics, eg, designing the dimensions of a box to maximize its v
EngMath: How to reverse the order of integration in double integrals. Chris Tisdell UNSW Sydney
This video discusses how to reverse the order of integration in dobule integrals. The technique is illustrated via a simple example. Such ideas are seen in 2nd year university mathematics courses.
The order of integration in double integrals can sometimes be reversed and can lead to a greatly simplied (but equivalent) double integral that is easier to evaluate than the original one. This ``order reversion'' technique can be used when performing calculations involving the applications associ
EngMath: Double integrals and area. Chris Tisdell UNSW Sydney
A simple example is presented showing how to use double integrals to calculate the area of two dimensional regions. Such ideas are seen in 2nd year university mathematics.
Double integrals can be used to determine the area of two--dimensional shapes, which can be an important part of, for example, determining the centroid.
EngMath: Intro to double integrals. Chris Tisdell UNSW Sydney
This video is a simple introduction to double integrals. I discuss a simple example and introduce the standard notation. Such problems are seen in 2nd year university mathematics.
Double integrals are a generalisation of the basic single integral seen in high--school. Double integrals enable us to work with more complicated problems in higher dimensions and find many engineering applications, for example, in calculating centre of mass and moments of inertia of thin plates.
EngMath: Double integral in polar co-ordinates. Chris Tisdell UNSW Sydney
This video illustrates how to transform and evaluate double integrals from Cartesian co-ordinates to polar co-ordinates via an example. Such ideas are seen in 2nd-year university mathematics.
We know from basic calculus that sometimes a change of variables can greatly simplify very complicated integrals. We now explore this idea in the more general setting of double integrals under a specific change of variables known as polar co--ordinates.
UCalc: Continuity of a function - an example. Chris Tisdell UNSW Sydney
I discuss and solve a simple example involving the continuity of a function at a point. The ideas use the basic limit definition of continuity. Both algebraic and geometric properties are discussed.
Such problems are seen in first-year university courses.
UCalc: Differentiability of a function - an example. Chris Tisdell UNSW Sydney
This video discusses and solves a simple example invoivng the differentiability of a function. The ideas involve both the concepts of continuity and differentiability, and their limit definitions.
Such ideas are seen in first-year mathematics courses.
EngMath: First shifting theorem of Laplace transforms. Chris Tisdell UNSW Sydney
The video discusses some simple examples involving the first shifting theorem of Laplace transfroms. I show how to use the theorem to calculate transforms and inverse transforms. A proof of the result is given at the end. Such ides are seen in 2nd year university mathematics.
Laplace transforms find uses in solving initial value problems that involve linear, ordinary differential equations with constant coefficients. These types of problems usually arise in modelling of phenomena. Laplace
EngMath: Intro to Laplace Transform. Chris Tisdell UNSW Sydney
This video is a simple introduction to the Laplace transform. The transform is defined and some simple examples are presented. Such ideas are seen in 2nd year university studies.
Laplace transforms find uses in solving initial value problems that involve linear, ordinary differential equations with constant coefficients. These types of problems usually arise in modelling of phenomena. Laplace transforms offer an advantage over other solution methods to initial value problems as they streaml
EngMath: 2nd shifting theorem of Laplace transforms. Chris Tisdell UNSW Sydney.
In this video I discuss the second shifting theorem of Laplace transforms. I present a simple example showing how to apply the theorem by calculating transfroms and inverse transforms of certain functions. Such ideas are seen in 2nd year universtiy mathematics
Laplace transforms offer an advantage over other solution methods to initial value problems as they streamline the process and can easily deal with discontinuous forcing functions. The second shifting theorem gives us a way of computing
EngMath: Laplace transform and differential equations. Chris Tisdell UNSW Sydney
This video illustrates how to apply Laplace transforms to solve differential equations and the associated initial value problems. Such ideas are seen in 2nd year university mathematics.
Laplace transforms offer an advantage over other solution methods to initial value problems as they streamline the process and can easily deal with discontinuous forcing functions.
EngMath: Fourier series and differential equations. Chris Tisdell UNSW Sydney
This video illustrates an application of how Fourier series can be used to solve ordinary differential equations. The equation under consideration models a spring/mass vibrating system with a dicontinuous, period forcing function.
Fourier series can be useful in solving differential equations that arise in the study of vibrations. They provide a means of approximating discontinuous periodic ``forcing'' functions over intervals (rather than just near certain points).
EngMath: Intro to Fourier series. Chris Tisdell UNSW Sydney
This video is a basic to introduction Fourier series. I define a Fourier series and show how to calculate them.
Fourier series are used in solving differential equations that arise in the study of heat flow and vibrations. Fourier series provide a means of approximating discontinuous periodic functions over intervals (rather than just near certain points).
How to integrate via partial fractions: Heaviside's approach. Chris Tisdell UNSW Sydney
This video shows how to integrate via the method of partial fractions and Heaviside's approach.
Several examples are presented to illustrate the ideas. A simple example involving differential equations and population dynamics is dicussed as a basic application of the method.
Such ideas are seen in first year university mathematics courses.
How to integrate rational polynomials whose denominators do not factorize. Chris Tisdell UNSW Sydney
This video gives a simple demonstration on how to integrate rational polynomials whose denominators do not factorize. The methods employ adjusting the numerator so that logarithm functions and inverse tan functions can be applied. Such ideas are seen in first year university mathematics.
Integration and partial fractions: Simple example. Chris Tisdell UNSW
This video features a simple example of how to integrate via the method of partial fractions. In particular, the method uses simple manipulation of the denominator in the integrand.
Such ideas are seen in first year university mathematics.
Study Abroad: Suzanne O'Brien
Suzanne O'Brien recalls her days studying abroad
