Mathematics 1

Description

This module introduces mathematics as a logical and structured discipline, to ensure that all students acquire the mathematical knowledge and skills required for the first year aeronautical course, and to provide a basis for the more advanced mathematical techniques which are required in later years of the course. On successfully completing this module, you should be able to: 1. Demonstrate mastery of basic mathematical concepts associated with functions, differential calculus, integral calculus, and series; 2. Evaluate partial derivatives and understand their practical importance; 3. Employ complex numbers and Fourier series, and appreciate their practical relevance; 4. Derive analytical solutions of certain first and second order ordinary differential equations and understand their practical importance; 5. Employ linear algebra methods and understand their application in engineering; 6. Carry out a range of matrix manipulations, and calculate matrix eigenvalues and eigenvectors; 7. Demonstrate understanding of the properties of the inner product and apply Gram-Schmidt orthogonalisation; 8. Reduce systems of linear ODEs with constant coefficients to matrix form and determine solutions in terms of eigenvalues and eigenvectors.