Module Overview

Mathematics 4

The first aim of Mathematics 4 is to further develop the broad range of standardmathematical techniques in linear algebra, analysis and calculus assimilated inMathematics 2. The second aim is to enable the student to apply thesemathematical techniques to the solution of bounded engineering problems.

MATH H2005

ECTS Credits

5

*Curricular information is subject to change

Introduction to functions of several variables

Evaluation of functions of several variables. Plotting in MATLAB. Partial differentiation.

Vector Calculus

Scalar fields, vector fields. Calculate the gradient of a scalar field and the divergence and curl of a vector field.

Integration

Integration methods. Definite and indefinite integrals. Using substitution. Integration by Parts. Partial fractions.

Matrix Algebra

Eigenvectors and Eigenvalues. Finding using algebraic method. Approximation using the Power Method. Determinants and inverses: using cofactors to find 4 × 4 determinants and 3 × 3 inverses.

Programming Skills

Review and programming exercises to consolidate the understanding of the basic programming structures.

Solution of Non Linear Equations

Graphical exploration to locate approximate roots. Iterative point estimation and interval reduction methods. Convergence of iterative methods. Algorithms. Writing programs to solve non-linear equations.

Module Content & Assessment
Assessment Breakdown %
Other Assessment(s)30
Formal Examination70