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ENG2011 : Engineering Mathematics II

  • Offered for Year: 2019/20
  • 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
Guided Independent StudyAssessment preparation and completion25:0010:00Target non-timetable hours to complete coursework assignment submissions.
Guided Independent StudyAssessment preparation and completion12:002:00Semester 1 examination.
Guided Independent StudyAssessment preparation and completion240:3012:00Recommended revision for exams, assuming prior regular independent study throughout teaching
Scheduled Learning And Teaching ActivitiesLecture241:0024:00Structured presentation of syllabus may include skills demonstration, formative feedback, etc
Scheduled Learning And Teaching ActivitiesSmall group teaching121:0012:00Problem classes (“tutorials”) to support independent study and reinforce skills practise
Guided Independent StudyIndependent study140:0040:00Recommended regular personal study throughout teaching period to follow up taught classes
Jointly Taught With
Code Title
ENG2008Analytic Methods in Marine Technology
ENG2012Engineering Mathematics II and Statistical Data Analysis
Teaching Rationale And Relationship

Lectures: are used to present the mathematical theory and techniques and demonstrate their use for solving a range of problems in the subject area.
Tutorials: provide support and individual guidance to underpin students' self-study and problem solving skills and provide a forum for further discussion to aid understanding.

Assessment Methods

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

Description Length Semester When Set Percentage Comment
Written Examination1201A90
Exam Pairings
Module Code Module Title Semester Comment
ENG2012Engineering Mathematics II and Statistical Data Analysis1N/A
Other Assessment
Description Semester When Set Percentage Comment
Prof skill assessmnt1M102 class tests each worth 5%
Assessment Rationale And Relationship

The written examination provides an appropriate means to assess knowledge and understanding, and the ability to apply theory and techniques to problem solving.
The coursework assessment provides the opportunity for tackling extended problems, assess understanding of key ideas and principles and competence in applying these.

Reading Lists