# Unit information: Engineering Mathematics 1 in 2021/22

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Unit name Engineering Mathematics 1 EMAT10100 20 C/4 Teaching Block 4 (weeks 1-24) Professor. Champneys Not open A-level common core in mathematics, or equivalent None School of Engineering Mathematics and Technology Faculty of Engineering

## Description including Unit Aims

Description There are five main sections: Algebra (vectors, complex numbers, matrices as transformations, solving equations using matrices, eigenvalues and eigenvectors); Analysis (Sequences, series, functions, curve sketching, introduction to fourier series, introduction to numerical analysis); Calculus (differentiation and integration of functions of one variable, taylor series, numerical root finding, introduction to partial differentiation); Differential Equations (concepts, separation of variables, linear first and second-order equations, systems, numerical solutions); and Probability (basic concepts, events, random variables, empirical discrete and continuous distributions).

Aims The principal aim of this faculty-wide unit is to bring students entering the Faculty of Engineering up to a common standard in mathematics. The unit contains the well recognised elements of classical engineering mathematics which universally underpin the formation of the professional engineer.

## Intended Learning Outcomes

1. To gain familiarity with the basic mathematics needed for engineering degree programmes.
2. To be able to manipulate and solve mathematical problems involving algebraic and analytic concepts such as matrices, vectors, complex numbers, differentials, integrals, and sequences.
3. To be able to link such algebraic and analytical concepts to geometric concepts in the form of graphs.
4. To gain a basic understanding of how data is represented and manipulated in computations deterministically and using the laws of probability applied to a single random variable.
5. To understand the relevance of these concepts to representation and solution of engineering problems.

## Teaching Information

Teaching will be delivered through a combination of synchronous and asynchronous sessions, including lectures, supported by live online sessions, problem sheets and self-directed exercises

## Assessment Information

1 Summative Assessment, 100% - Summer Exam. This will assess all ILOs.

Formative assessments throughout the year.

## Resources

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If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. EMAT10100).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.