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ENG2011 : Engineering Mathematics II

  • Offered for Year: 2021/22
  • Module Leader(s): Professor Yuri Sergeev
  • 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 Chemical and Process Engineering. 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 ActivitiesLecture180:309:00Recorded introductory lectures
Structured Guided LearningLecture materials182:0036:00Lecture notes
Guided Independent StudyAssessment preparation and completion101:0010:00Computer based exercises
Guided Independent StudyAssessment preparation and completion28:0016:00CBA assessments
Guided Independent StudySkills practice201:0020:00Skill practice for computer exercise
Scheduled Learning And Teaching ActivitiesScheduled on-line contact time91:009:00Synchronous tutorials
Jointly Taught With
Code Title
ENG2012Engineering Mathematics II and Statistical Data Analysis
Teaching Rationale And Relationship

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’ person-al 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

Exam Pairings
Module Code Module Title Semester Comment
ENG2012Engineering Mathematics II and Statistical Data Analysis1N/A
Other Assessment
Description Semester When Set Percentage Comment
Computer assessment1M50CBA NUMBAS 1 24 hour
Computer assessment1M50CBA NUMBERS 2 24 HOUR
Assessment Rationale And Relationship

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

Reading Lists