Module Specification
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title Mathematics B for Electrical Engineers
Code ELEC192
Coordinator Dr J Zhang
Electrical Engineering and Electronics
Junqing.Zhang@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2022-23 Level 4 FHEQ Second Semester 15

Aims

To provide a detailed introduction to techniques (change of variable, integration by parts and partial fractions) for the applications of one dimensional integrals.

To introduce partial derivatives of functions of two variables and their applications e.g. for linear approximations.

To comprehensively introduce matrices, determinants and several techniques for solving systems of linear equations; to introduce eigenvalues and eigenvectors for 2x2 matrices.

To briefly revise or introduce the scalar and cross products of vectors and their basic applications.

To give a comprehensive introduction to first order ordinary differential equations (ODEs) including systems of two ODEs with constant coefficients and second order ODEs with constant coefficients.

To introduce the Fourier expansion of periodic functions.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
ELEC191 Mathematics A for Electrical Engineers 

Co-requisite modules:
 

Learning Outcomes

(LO1) Students should be able to evaluate a range of one-dimensional integrals using standard techniques

(LO2) Students should be able to calculate partial derivatives and find the tangent plane to a surfact

(LO3) Students should be able to invert 3 x 3 matrices and solve systems of linear equations.

(LO4) Students should be able to solve basic systems of ODEs relevant to electrical engineering.

(S1) Numeracy, manipulation of numbers, general mathematical awareness and its appliction in practical contexts.

(S2) Problem solving/critical thinking to develop appropriate solutions.

Syllabus
 

Methods and applications of integration (approx 8 lectures).
Partial differentiation and applications (approx 3 lectures).
Matrices, determinants, linear equations (approx 8 lectures).
Products and applications of vectors (approx 8 lectures).
Basic ordinary differential equations (approx 8 lectures).
Fourier expansion of periodic functions (approx 3 lectures).
Tutorials, class tests, exam revision (approx 15 hours).

Teaching and Learning Strategies

Due to Covid-19, one or more of the following delivery methods will be implemented based on the current local conditions and the situation of registered students.
(a) Hybrid delivery, with social distancing on Campus
Teaching Method 1 - On-line asynchronous lectures
Description: Lectures to explain the material
Attendance Recorded: No
Notes: On average three per week

Teaching Method 2 - Synchronous face to face tutorials
Description: Tutorials on the Assignments and Problem Sheets
Attendance Recorded: Yes
Notes: On average one per week

(b) Fully online delivery and assessment
Teaching Method 1 - On-line asynchronous lectures
Description: Lectures to explain the material
Attendance Recorded: No
Notes: On average three per week

Teaching Method 2 - On-line synchronous tutorials
Description: Tutorials on the Assignments and Problem Sheets
A ttendance Recorded: Yes
Notes: On average one per week

(c) Standard on-campus delivery with minimal social distancing
Teaching Method 1 - Lecture
Description: Lectures to explain the material
Attendance Recorded: Yes
Notes: On average three per week

Teaching Method 2 - Tutorial
Description: Tutorials on the Assignments and Problem Sheets
Attendance Recorded: Yes
Notes: On average one per week

Teaching Schedule
  Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
Study Hours 36

   12

       48
Timetable (if known)              
Private Study 102
TOTAL HOURS 150

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Class test at end of week 4 Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Week 4 of the semester  0    15       
Class test at end of week 7 There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Week 7 of the semester  0    10       
Class test at end of week 11 There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Week 11 of the semest  0    15       
Formal written exam There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Semester 2 examination period  0    60       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
             

Reading List
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.