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ENG1001 : Engineering Mathematics I

  • Offered for Year: 2024/25
  • Module Leader(s): Dr Magda Carr
  • Lecturer: Dr John Appleby, Dr David Swailes
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus

Your programme is made up of credits, the total differs on programme to programme.

Semester 1 Credit Value: 10
Semester 2 Credit Value: 10
ECTS Credits: 10.0
European Credit Transfer System


To provide the Stage 1 mathematical knowledge and skills base for the various undergraduate engineering programmes in the faculty. This module begins with a review of methods of calculus including illustrations of such methods in engineering. These ideas are developed to enable a large range of engineering systems to be modelled using differential equations and linear algebra.

Outline Of Syllabus

Functions, differentiation and integration. Exponential, logarithmic and hyperbolic functions. Complex numbers, Cartesian and polar forms. Trigonometric functions and inverse functions. Partial differentiation. Techniques of integration and numerical integration. Applications. Basic types of first and second order ordinary differential equations. Analytical methods of solution. Linked systems. Matrix and vector algebra. Solution methods for systems of linear equations. Eigenvalue problems. Introduction to Fourier Series in real and complex form.

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture401:0040:00Lectures (in person)
Guided Independent StudyAssessment preparation and completion201:0020:00Testing – formative CBA and some written
Structured Guided LearningAcademic skills activities801:0080:00Private study – exercises (some formative CBA) -Practice and self- testing
Scheduled Learning And Teaching ActivitiesSmall group teaching201:0020:00Q&A Tutorials (in person and/or live on-line)
Guided Independent StudyIndependent study201:0020:00Private study – use of notes and videos in understanding ‘lectures’
Guided Independent StudyIndependent study120:0020:00All new Stage 0 & 1 in Engineering – preparation before starting
Teaching Rationale And Relationship

Pre-sessional preparatory material will be made available to all new Stage 1 and Stage 0 students, consisting of videos, PDF resources, links, and on-line computer-based testing, encouraging students to revise material not studied for several months and to identify and address gaps or lack of fluency. Lectures will be in person. Tutorials will be in person and/or live online and used to address student queries, offering help and guidance on exercise questions and any queries from lectures. Computer-based exercises and tests will help students to check and improve their skills. Bookable ‘office hour’ personal tutorials will support students on demand. Exercise sheets are for practice of methods and reinforcement of understanding and applications.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Description Length Semester When Set Percentage Comment
Written Examination601A20Written examination on Sem 1 work
Written Examination1202A50Written examination on full syllabus.
Exam Pairings
Module Code Module Title Semester Comment
Engineering Mathematics for International Year One Engineering1N/A
Other Assessment
Description Semester When Set Percentage Comment
Computer assessment1M5Routine test to ensure regular work
Computer assessment1M5Routine test to ensure regular work
Written exercise1M5Routine class test to ensure regular work
Written exercise2M5Routine class test to ensure regular work
Computer assessment2M5Routine test to ensure regular work
Computer assessment2M5Routine test to ensure regular work
Formative Assessments

Formative Assessment is an assessment which develops your skills in being assessed, allows for you to receive feedback, and prepares you for being assessed. However, it does not count to your final mark.

Description Semester When Set Comment
Computer assessment1MRegular in course CBAs
Assessment Rationale And Relationship

To encourage regular study and reflection in this hierarchical subject (with competing pressures of Engineering coursework), frequent computer-based (CBA) tests will be set on questions already practiced, with multiple attempts, to achieve mastery of methods and skills.

Written exercises and examinations will test mathematical writing skills, presentation, and methodology.

Reading Lists