### 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 A FOR ELECTRICAL ENGINEERS Code ELEC191 Coordinator Dr I Sandall Electrical Engineering and Electronics Ian.Sandall@liverpool.ac.uk Year CATS Level Semester CATS Value Session 2021-22 Level 4 FHEQ First Semester 15

### Aims

To bring students from varying backgrounds up to a common level in preparation for further modules in mathematics.  To cover in detail the basic techniques of differential calculus and provide an introduction to the theories of integral calculus, vectors, complex numbers and series.

### Learning Outcomes

(LO1) Understanding of the notion of limits on an intuitive level.

(LO2) Differentiate functions using the product quotient and chain rules.

(LO3) Understanding various applications of the theory of differentiation including Maclaurin series and Taylor series.

(LO4) Carry out simple calculations involving integration, vectors, complex numbers and series.

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

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

### Syllabus

Functions and Graphs (approx 9 lectures).
Differentiation and its application (approx 12 lectures).
Integration (approx 3 lectures).
Vectors (approx 3 lectures).
Complex numbers (approx 6 lectures).
Series (approx 3 lectures).

### 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.
(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 two per week

Teaching Method 2 - On-line synchronous 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 two per week

Teaching Method 2 - On-line synchronous tutorials
Description: Tutorials on the Assignments and Problem Sheets
Attendance Recorded: Yes
Notes: On averag e 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 two 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 24 12 36 Timetable (if known) Private Study 114 TOTAL HOURS 150

### Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
(191.1) Class test at end of week 3 There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Week 3 of the s  45 minutes.    10
(191.2) Class test at end of week 6 There is a resit opportunity. Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Week 6 of t  45 minutes.    10
(191.3) Class test at end of week 9 There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Week 9 of the s  45 minutes.    10
(191.4) Class test at end of week 12 There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Week 12 of the  45 minutes.    10
(191) Formal Written Examination There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Semester 1 examina  120 minutes.    60
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes