This aims to provide a fundamental course in the basic methods of mathematical modelling with emphasis on linear algebra. It will give an introduction to MATLAB as a programming language, which will be used for solving various mathematical problems related to science and engineering.
1. Analytic Geometry (1.1 Vector Algebra, Scalar and Vector Products, Lines and Planes, Derivatives of Scalar and Vector Functions, Directional Derivatives, Linear Approximation of Curves, Tangent Planes, Grad, Div, Curl.)
2. Laplace Transforms (2.1 Laplace Transforms, Inverse Laplace Transforms, Solving Differential Equations DEs and Systems of DEs with Laplace Transforms.)
3. Linear Algebra (3.1 Systems of Linear Equations, Gaussian Elimination, Vectors and Matrices, Matrix Algebra, Inverse Matrices, Determinants, Eigenvectors and Eigenvalues, Applications to Differential Equations, Diagonalization of Matrices.)
4. Computer Algebra System (4.1 Accurately and precisely input mathematical syntax into a computer algebra system)
By the end of the course, students should be able to do the following:
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SCQF Level: 8
Credits: 15