## MECH1520 Engineering Mathematics

### 20 creditsClass Size: 350

Module manager: Dr Daya Pandey
Email: D.Pandey@leeds.ac.uk

Taught: Semesters 1 & 2 (Sep to Jun) View Timetable

Year running 2024/25

### Pre-requisite qualifications

Admission to all UG MECH programmes

This module is not approved as a discovery module

### Module summary

This module will introduce the core mathematical concepts, notation and techniques that will be used throughout the students’ undegraduate degree programme.

### Objectives

On successful completion of the module students will;
- have gained the knowledge and understanding of mathematical concepts, notation and techniques relevant to mechanical engineering.
- developed skills and confidence in mathematical modelling and problem solving.
- developed the knowledge and understanding that will be needed in future modules.

Learning outcomes
On successful completion of the module students will have demonstrated the following learning outcomes relevant to the subject:

1. Apply knowledge and understanding of mathematical concepts, notation and techniques relevant to mechanical engineering, including; vectors and matrices, differentiation and integration, solving ODE’s, probability and statistics.
2.
Upon successful completion of this module the following Engineering Council Accreditation of Higher Education Programmes (AHEP) learning outcome descriptors (fourth edition) are satisfied:
3. Apply knowledge of mathematics, statistics, natural science and engineering principles to broadly-defined problems. Some of the knowledge will be informed by current developments in the subject of study. [B1]
4. Select and apply appropriate computational and analytical techniques to model broadly-defined problems, recognising the limitations of the techniques employed. (B3)

Skills Learning Outcomes
On successful completion of the module students will have demonstrated the following skills:

a. Problem solving & analytical skills

### Syllabus

1. Definitions and use of vectors in 3D space; vector algebra; the scalar and vector products and their uses.
2. Functions and graphs; limits of functions.
3. Techniques for differentiation: product rule; quotient rule; chain rule; implicit differentiation; logarithmic differentiation; differentiating parametric equations; differentiating vectors in Cartesian and polar coordinate systems.
4. Techniques for integration: substitution; integration by parts; partial fractions; integration of vectors; numerical integration.
5. Engineering applications of integration and differentiation.
6. Functions of more than one variable: partial differentiation; multiple integrals.
7. First order differential equations; mathematical modelling and problem solving.
8. Vector equations of lines and planes.
9. Matrix algebra; transformation matrices; eigenvalues and eigenvectors.
10. Complex numbers; hyperbolic functions.
11. Statistics, regression and elementary probability.

Methods of Assessment

We are currently refreshing our modules to make sure students have the best possible experience. Full assessment details for this module are not available before the start of the academic year, at which time details of the assessment(s) will be provided.

Assessment for this module will consist of;

1 x Coursework
1 x In-person closed book exam

### Teaching methods

 Delivery type Number Length hours Student hours Lecture 44 1.00 44.00 Seminar 24 1.00 24.00 Private study hours 132.00 Total Contact hours 68.00 Total hours (100hr per 10 credits) 200.00

### Opportunities for Formative Feedback

Students will receive feedback on their Mobius tests immediately afterwards. For students that fail a competency test additional support will be available on that topic to help prepare for the next resit opportunity.