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Module

ENG1001 : Engineering Mathematics I

  • Offered for Year: 2021/22
  • Module Leader(s): Dr David Swailes
  • Lecturer: Dr Magda Carr, Dr Otti Croze, Dr John Appleby
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters
Semester 1 Credit Value: 10
Semester 2 Credit Value: 10
ECTS Credits: 10.0

Aims

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 funtions. 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
Structured Guided LearningLecture materials200:3010:00Reviewing video lectures
Guided Independent StudyAssessment preparation and completion201:0020:00Testing – CBA and some written
Scheduled Learning And Teaching ActivitiesLecture201:0020:00Lectures (in person or on-line)
Structured Guided LearningAcademic skills activities901:0090:00Private study – exercises (some CBA) -Practice and self-testing
Scheduled Learning And Teaching ActivitiesSmall group teaching201:0020:00Q&A Tutorials (in person or on-line)
Guided Independent StudyIndependent study120:0020:00All new Stage 0 & 1 in Engineering – preparation before starting
Guided Independent StudyIndependent study201:0020:00Private study – use of notes Understanding ‘lectures’
Total200:00
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. Pre-recorded videos will be used in conjunction with ‘printed’ material to introduce each topic and worked examples, in place of normal lectures. In-person classroom time will not be possible for this large group this year. Live (synchronous) on-line tutorials will be used to address student queries, with on-screen mathematical work. 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.

Student’s should consult their individual timetable for up-to-date delivery information.

Assessment Methods

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

Exams
Description Length Semester When Set Percentage Comment
Written Examination1202A40Examination on full syllabus, possibly in take-home form.
Other Assessment
Description Semester When Set Percentage Comment
Computer assessment1M5Routine tests to ensure regular work
Computer assessment1M20Synoptic assessment on Sem 1 work
Computer assessment2M5Routine test to ensure regular work
Computer assessment2M20Synoptic assessment on Sem 2 work
Written exercise1M5Routine test to ensure regular work
Written exercise2M5Routine test to ensure regular work
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 practised, with multiple attempts, to achieve mastery of methods and skills. End of Semester CBA tests will assess overall knowledge, and a final written (take-home) exam will ensure ability in writing mathematics systematically.

Reading Lists

Timetable