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MODULE DESCRIPTOR
Module Title
Engineering Mathematics
Reference EN2108 Version 3
Created February 2024 SCQF Level SCQF 8
Approved December 2020 SCQF Points 30
Amended April 2024 ECTS Points 15

Aims of Module
To provide the student with the ability to apply basic and advanced level mathematics to engineering problems.

Learning Outcomes for Module
On completion of this module, students are expected to be able to:
1 Apply vectors and matrix techniques to problems in engineering.
2 Use techniques of differentiation and integration in solving differential equations involved in engineering applications.
3 Calculate and understand simple descriptive and summary statistics, and apply elementary probability theory to problems in engineering.
4 Apply Fourier series techniques and apply Laplace transform methods to problems involving simple linear systems.
5 Use a computational package to solve engineering mathematics problems.

Indicative Module Content
Vectors: Simple vector algebra. The scalar and vector products. Differential Calculus: Differentiation of elementary functions. The rules of differentiation: chain rule, product rule, quotient rule. Integral Calculus: Integration of elementary functions. Application to problems in engineering. Matrices: Simple matrix algebra. Determinants. Applications to the solution of simultaneous linear equations. Statistics: Simple descriptive statistics. Probability and reliability. Elementary probability distributions. Statistical inference: populations and samples, sampling distribution of the mean, point and interval estimation of population mean for large/small samples, one sample hypothesis testing Solution of first and second order ordinary differential equations: separation of variables. Integrating factor method. Complementary function and particular integrals. Laplace Transforms: Definition of Laplace transform and its inverse. Use of tables to calculate Laplace transforms of elementary functions. The solution of ordinary differential equations. Multivariable calculus: Partial differentiation. Application to problems in Science and Engineering. Fourier Series: Decomposition of waveforms. Fourier series of simple functions. The use of a computer mathematics package for solving problems in engineering mathematics.

Module Delivery
The module is delivered in Blended Learning mode using structured online learning materials/activities and directed study, facilitated by regular online tutor support. Workplace Mentor support and work-based learning activities will allow students to contextualise this learning to their own workplace. Face-to-face engagement occurs through annual induction sessions, employer work-site visits, and modular on-campus workshops.

Indicative Student Workload Full Time Part Time
Contact Hours 30 N/A
Non-Contact Hours 30 N/A
Placement/Work-Based Learning Experience [Notional] Hours 240 N/A
TOTAL 300 N/A
Actual Placement hours for professional, statutory or regulatory body 240  

ASSESSMENT PLAN
If a major/minor model is used and box is ticked, % weightings below are indicative only.
Component 1
Type: Coursework Weighting: 100% Outcomes Assessed: 1, 2, 3, 4, 5
Description: Logbook of solved tutorials and online tests.

MODULE PERFORMANCE DESCRIPTOR
Explanatory Text
Component 1 comprises 100% of the module grade. A minimum of Grade D is required to pass the module.
Module Grade Minimum Requirements to achieve Module Grade:
A A
B B
C C
D D
E E
F F
NS Non-submission of work by published deadline or non-attendance for examination

Module Requirements
Prerequisites for Module Completion of EN1100, EN1106, EN1103, EN1102/EN1104 or equivalent.
Corequisites for module None.
Precluded Modules None.

INDICATIVE BIBLIOGRAPHY
1 STROUD, K.A. and BOOTH, D.J., 2013. Engineering Mathematics. 7th ed. Palgrave.
2 STROUD, K.A. and BOOTH, D. J, 2011. Advanced Engineering Mathematics. 5th ed. Palgrave.

Robert Gordon University, Garthdee House, Aberdeen, AB10 7QB, Scotland, UK: a Scottish charity, registration No. SC013781