Module Details
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 I FOR ELECTRICAL ENGINEERS
Code MATH191
Coordinator Prof AE Faraggi
Mathematical Sciences
Alon.Faraggi@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2020-21 Level 4 FHEQ First Semester 15

Aims

1. To provide a detailed introduction to techniques (change of variable, integration by parts and partial fractions) for and applications of one-dimensional integrals.
2. To introduce partial derivatives of functions of two variables and their applications, e.g., for linear approximations.
3. To comprehensively introduce matrices, determinants and several techniques for solving systems of linear equations; to introduce eigenvalues and eigenvectors for 2x2 matrices.
4. To briefly revise or introduce the scalar and cross products of vectors and their basic applications.
5. 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.
6. To introduce, time permitting, the Fourier expansion of periodic functions.

Learning Outcomes

(LO1) Understand the notion of limits on an intuitive level

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

(LO3) Understand 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

Syllabus
 

- Functions and Graphs (9lectures)

- Differentiation and its Applications (12 lectures)

- Integration (3lectures)

- Vectors (3lectures)

- Complex numbers (6 lectures)

- Series (3 lectures)

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

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
 

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
 

Programme(s) (including Year of Study) to which this module is available on an optional basis:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Final Assessment 50% Open book and remote One hour time on task  One hour time on tas    50       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Class Test 50% Open book and remote 60-90 minutes refers to the submission window for this component  60-90 minutes submis    50