Coursework
A 1500-word report on the solution of practical Engineering problems using mathematical tools and reflection on the skills gained, weighted at 50% meeting Learning Outcomes 3 and 4. Assessing AHEP 4 Outcomes F3, F6, F12, F18.

Examination
A 1-hour exam requiring students to answer mathematical questions, weighted at 50% meeting Learning Outcomes 1 and 2. Assessing AHEP 4 Outcomes F1, F2, F3.

Formative assessment will include engineering problem-solving using mathematical tools/techniques to evaluate theoretical understanding and develop problem-solving skills.

The module will cover the following topics:
* Probability Theory and Mathematical Statistics
Fundamentals of Probability and Random Signal Analysis
Random Variables and Signal Modelling

* Complex Analysis
Complex Numbers and Frequency-Domain Representation of Signals
Analytic Functions and System Stability
Residue Theorem and Integral Transforms

* Engineering Applications
Noise Analysis in Communication Systems
Probabilistic Modelling of Noise
Stability Design of Control Systems, Pole-Zero Analysis

1. Demonstrate understanding of fundamental mathematical concepts and techniques relevant to well-defined Engineering problems. (AHEP 4: F1, F2)

Learning Outcome: Knowledge & understanding

2. Apply fundamental mathematical techniques to solve structured Engineering problems. (AHEP 4: F2, F3)

Learning Outcome: Application & problem-solving

3. Use mathematical tools, including graphical and computational techniques, to model and analyse engineering scenarios and present solutions clearly. (AHEP 4: F3, F6, F12)

Learning Outcome: Digital literacy

4. Reflect on the development of mathematical skills and learning strategies, identifying areas for improvement to support ongoing Engineering study and professional development. (AHEP 4: F18)

Learning Outcome: Reflection, Personal development & entrepreneurship

Whole group lectures will be used to deliver new material and to consolidate previous material. Small-group tutorials, with activities designed to enhance the understanding of the material delivered in the lectures, will be used to apply the skills and knowledge learned. A mixture of classroom based and practical activities will take place supported by staff.

Suitable software tools to model and analyse engineering scenarios using mathematical techniques

Must be registered on BEng (Hons) Electronic and Information Engineering provision at XUPT, China.

Devore, J.L. (2021) Probability and Statistics for Engineering and the Sciences. Boston, MA: Cengage Learning. ISBN 9781305251809.

Brown, J.W. and Churchill, R.V. (2020) Complex Variables and Applications. New York: McGraw-Hill Education. ISBN 9780073383170.

Tang, K.-T. (2022) Mathematical Methods for Engineers and Scientists 3. Singapore: Springer. ISBN 9789811694755.

This module systematically equips learners with core mathematical tools which are aligned with the practical demands of electronic and information engineering, and bridges theoretical mathematics with real-world engineering challenges.