This
course provides a review of linear algebra, including applications to networks,
structures, and estimation,
Lagrange multipliers. Also covered are: differential equations of equilibrium;
Laplace's equation and potential flow; boundary-value problems; minimum
principles and calculus of variations;
Fourier series; discrete Fourier transform; convolution; and applications.
Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.
This is a basic
course on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants,
eigenvalues, similarity, and
positive definite matrices.
This graduate-level
course is a continuation of Computational
Science and Engineering I.
Topics include numerical methods; initial-value problems; network flows; and optimization.