(or equivalent approved by Director of Studies).
Aims: To introduce the linear algebra, and analysis which is needed in applications.
Learning Outcomes:
1) To demonstrate an understanding of some basic mathematical concepts and techniques which are needed in applications such as Graphics, Computer Vision, Computer Music.
2) To be able to understand and construct simple proofs.
3) To write simple procedures implementing mathematical algorithms.
Skills:
Communication in the language of mathematics (T/F, A).
Content:
Linear transformations, matrices and determinants, complexity of basic manipulations, vector operations and Euclidean geometry, eigenvalues and eigenvectors, bases, linear dependence and independence; complex numbers, sine and cosine and exponential functions, power series, limits, convergence, Fourier series; transforms. Discussion of applications.
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