# ACS131 Systems Engineering Mathematics

## Module Description

This module contains the core mathematical competencies required by students for a systems engineering programme. This covers basic algebra and functions, elementary calculus (differentiation and integration),
solution of low order differential equations, Taylor series and iterative methods, matrix algebra and simultaneous equations, vectors and complex numbers. The content is delivered within a systems engineering context. Student learning is encouraged by regular formative assessment and
supportive resources.

If you have any questions about the module please talk to me during the lectures or the labs in the first instance. It is likely that other
students will learn from any questions you ask as well, so donâ€™t be afraid to ask.

Learning Outcomes

### Learning Outcomes

By the end of the module students will be able to:

• Interpret problems related to systems and control engineering using fundamental mathematics. [SM2p, SM3p]
• Explain and apply fundamental mathematical techniques to solve problems related to systems and control engineering. [SM2p, SM3p, EA3p]
• Choose the correct mathematical technique to solve problems related to systems and control engineering. [SM2p, SM3p, EA3p]

This module satisfies the AHEP3 (Accreditation of Higher Education Programmes, Third Edition) Learning Outcomes that are listed in brackets after each learning outcome above. For further details on AHEP3 Learning Outcomes, see the downloads section of our accreditation webpage.

Syllabus

### Syllabus

This module contains the core mathematical competencies required by students for a systems engineering programme. This covers basic algebra and functions, elementary calculus (differentiation and integration), solution of low order differential equations, Laplace transforms, Taylor series and iterative methods, matrix algebra and simultaneous equations, vectors and complex numbers. The content is delivered within a systems engineering context.

Teaching Methods

### Learning and Teaching Methods

• Lectures: 48 hours
• Instructor Led Tutorials/Problem Classes: 48 hours
• Independent Study: 101 hours
Teaching Materials

### Learning and Teaching Materials

All teaching materials will be available on MOLE.

Assessment

### Assessment

This module would make use of six coursework assignments, three per semester, and in total these would constitute 20% of the module mark. Each assignment would be made up of an online quiz and/or an in-class test.

In addition, there would be two summative exams: one small stage test worth 10% after Christmas and a major 3 hour exam at the end of the year worth 70%.

Feedback

### Feedback

• Computer marked so students see correct answers immediately. Students also have practice quizzes to test understanding and preparation.
• This module has weekly tutorials where students can ask for feedback on their progress and raise any other concerns. The lecturers are also responsive to requests for some generic feedback during lecture time, as time permits.
• All the assignments are designed to give students fast quantitative feedback on their progress in that they allow students to assess explicitly to what extent they have mastered different topics.
Student Evaluation

### Student Evaluation

Students are encouraged to provide feedback during the module direct to the lecturer. Students will also have the opportunity to provide formal feedback via the Faculty of Engineering Student Evaluation Survey at the end of each semester.

Core Texts:

• HELM mathematics resources: http://www.sheffield.ac.uk/mash/mathematics/helm
• Mathematics for engineers, A Croft and R Davison, Prentice Hall, 2008, [Available in Information Commons, 510.2462 (C)]
• Engineering mathematics: programmes and problems, K.A. Stroud, Palgrave Macmillan, 1995, [Available in Information Commons, 510.2462 (S)]

Secondary Texts:

• Mathtutor (all 7 CDs), EBS trust, http://www.mathtutor.ac.uk/
• B A. Croft and R. Davison, Foundation mathematics, Prentice Hall [available online]
• James, G, Modern engineering mathematics, Prenctice Hall, 2008, [Available in Information Commons, 510.2462 (M) or online]
• Kreyszig, E. Advanced engineering mathematics, Wiley, 2009, [Available in Information Commons, 510.2462 (K)]
• K Singh, Engineering mathematics through applications, Palgrave MacMillan, 2011, [Available in Information Commons, 510.2462 (S)]