ENG2011 : Engineering Mathematics II - Undergraduate Study

Offered for Year: 2020/21

Module Leader(s): Professor Yuri Sergeev
Lecturer: Dr David Swailes

Owning School: Mathematics, Statistics and Physics
Teaching Location: Newcastle City Campus

Semesters

Semester 1 Credit Value:	10
ECTS Credits:	5.0

Aims

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

Please note that module leaders are reviewing the module teaching and assessment methods for Semester 2 modules, in light of the Covid-19 restrictions. There may also be a few further changes to Semester 1 modules. Final information will be available by the end of August 2020 in for Semester 1 modules and the end of October 2020 for Semester 2 modules.

Teaching Activities

Category	Activity	Number	Length	Student Hours	Comment
Scheduled Learning And Teaching Activities	Lecture	18	0:30	9:00	Recorded introductory lectures
Structured Guided Learning	Lecture materials	18	2:00	36:00	Lecture notes
Guided Independent Study	Assessment preparation and completion	10	1:00	10:00	Computer based exercises
Guided Independent Study	Assessment preparation and completion	2	8:00	16:00	CBA assessments
Guided Independent Study	Skills practice	20	1:00	20:00	Skill practice for computer exercise
Scheduled Learning And Teaching Activities	Scheduled on-line contact time	9	1:00	9:00	Synchronous tutorials
Total				100:00

Jointly Taught With

Code	Title
ENG2012	Engineering 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
ENG2012	Engineering Mathematics II and Statistical Data Analysis	1	N/A

Other Assessment

Description	Semester	When Set	Percentage	Comment
Computer assessment	1	M	50	CBA NUMBAS 1 24 hour
Computer assessment	1	M	50	CBA 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

ENG2011's Reading List

Timetable

Timetable Website: www.ncl.ac.uk/timetable/
ENG2011's Timetable

Module