Skip to main content


ENG2011 : Engineering Mathematics II

  • Offered for Year: 2023/24
  • Module Leader(s): Dr Otti Croze
  • Lecturer: Dr David Swailes
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semester 1 Credit Value: 10
ECTS Credits: 5.0


To extend students' knowledge, understanding and use of analytical methods required in a range of engineering applications.. The course covers more advanced methods for solving differential equations, theory and applications of vector analysis and various infinite series.

Outline Of Syllabus

Differential Equations and Series:
- the Laplace transform and its application to solving ordinary differential equations
- Fourier series
- partial differential equations with applications
Vectors analysis:
- vector methods and their applications
- scalar and vector fields – grad, div, curl and potential fields
- surface and volume integrals
- divergence theorem and applications to transport processes
- application to fluid mechanics: material derivative, continuity and Euler’s equations

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture201:0020:00In person lectures
Guided Independent StudyAssessment preparation and completion28:0016:00CBA assessments
Guided Independent StudyAssessment preparation and completion101:0010:00Computer based exercises
Structured Guided LearningLecture materials132:0026:00lecture notes
Scheduled Learning And Teaching ActivitiesSmall group teaching91:009:00In person or live on line
Guided Independent StudySkills practice101:0010:00Skill practice for computer exercise
Guided Independent StudyIndependent study180:309:00Lecture materials
Teaching Rationale And Relationship

Pre-recorded videos will be used in conjunction with ‘printed’ material to introduce each topic and worked support in-person lectures. 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’ person-al 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 Examination1201A60N/A
Other Assessment
Description Semester When Set Percentage Comment
Computer assessment1M20CBA NUMBAS 1 24 hour
Computer assessment1M20CBA NUMBAS 2 24 hour
Assessment Rationale And Relationship

The two CBA assessments and written exam provide a suitable means of testing mathematical knowledge and technical competence.

Reading Lists