This is a graduate level course. The major objective of this course is providing comprehensive knowledge of modern computer algorithms and solving scientific and engineering problems efficiently and accurately. The students ...

Defines the Laplace transform. Briefly describes the uses of a Laplace transform then deals with technical issues such as what is meant by infinity integration limit. Concludes with explanation of the restrictions on the ...

Explains graphically what it means to multiply a matrix and a vector. Then introduces eigenvectors as vectors belonging to the matrix with a special property in matrix vector multiplication. Eigenvalues are also explained ...

This screencast gives an example of how to solve the first order separable differential equation: 2x/((1+x^2)y)

We continue the theme of half range series and examine how the integrations can be simplified using the symmetry of the function. Here we examine a half-range cosine series for a linear f(t).

This recording shows how velocity and acceleration of a particle travelling through 3D space are calculated given we have a general vector expression for the position vector at time t - this is then illustrated with a ...

We explain what is meant by an odd function in terms of symmetry, then give a rule satisfied by the function. We show how to test for oddness then discuss the area under the graph of an even function between points an equal ...

We explain what is meant by an even function in terms of symmetry, then give a rule satisfied by the function. We show how to test for evenness then discuss the area under the graph of an even function between points an ...

Solve a question about finding the roots of a complex number.

Shows how to use known Laplace transforms to evaluate infinite integrals involving exponentials in product with other functions. We extend the idea to products of an exponential with another fctn and with t using the ...