The module introduces the leaner to concepts and algorithms of recursion, graph theory and trees.
Review
Linear systems, matrix algebra, determinants.
Vectors & Vector Spaces
Vectors in n-space, norm of a vector, Euclidean inner product, orthogonality, general vector spaces, subspaces, linear combination of vectors, linear independence and dependence, spanning sets, basis, dimension of a vector space.
Linear Transformations
Standard matrix for a linear transformation, reflections, rotations and projection operators, row and column space of a matrix, rank and nullity of a matrix, The Rank Nullity Theorem.
Eigenvalues and Eigenvectors
Characteristic equation of a matrix, eigenvalues and eigenvectors of a matrix, eigenspace of a matrix, diagonalization of a matrix.
Lectures supported by tutorials and/or laboratory sessions including use of mathematical software
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 70 |
| Other Assessment(s) | 30 |