ENSY 0101U – Calculus and Algebra for Energy Systems

Key topics in Calculus and Linear Algebra. Limits and continuity, the derivative and integral calculus. Applications to volumes, arc length and functions of two or more variables. Multivariable calculus: partial derivatives, differential equations, Taylor and MacLaurin series, double integrals. Fundamental ideas of linear algebra, including the algebra of matrices; determinants and matrix inverses; real and complex vector spaces and subspaces, linear independence, bases, dimension and co-ordinates; inconsistent (over determined) systems of equations; eigenvalues, eigenvectors and matrix diagonalization; diagonalization of real symmetric matrices and quadratic forms.
Credit hours: 3
Lecture hours: 3
Tutorial hours: 1