In this module mathematical techniques required by the second year Electronic and Electrical Engineering, Mechanical Engineering and Civil Engineering programmes are covered.
Integral transforms Fourier series Fourier transforms Laplace transfroms Multivariable calculus Partial differentiation and the gradient Line integrals Surface and volume integrals Divergence and Curl Linear Algebra Vector representation of documents and text retrieval Linear dependence, orthonormal bases, the Gram-Schmidt process Linear transformations and matrices, vector subspaces, subspace projectionsEigenvector decomposition, covariance and Principal Components Analysis (PCA) Metric spaces and clustering The Discrete Fourier Transform Probablility and statistics Probability Probability distributions and random variables Descriptive statistics. Hypothesis testing Handling experimental data and experimental uncertainty Statistical decision making Markov processes
Learning Outcomes
By the end of the module students should be able to:
Students should be able to solve mathematical problems involving, integral transforms, vector calculus, linear algebra and probability and statistics
Demonstrate an understanding of the application of integral transforms, vector calculus, linear algebra and probability and statistics to the solution of engineering problems.
Evaluate uncertainty and probability arising from experimental data
