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 | Differential Equations | ||
Code | MATH221 | ||
Coordinator |
Dr O Selsil Mathematical Sciences Oselsil@liverpool.ac.uk |
||
Year | CATS Level | Semester | CATS Value |
Session 2024-25 | Level 5 FHEQ | Second Semester | 15 |
Aims |
|
•To familiarize students with basic ideas and fundamental techniques to solve ordinary differential equations. •To illustrate the breadth of applications of ODEs and fundamental importance of related concepts. |
Learning Outcomes |
|
(LO1) To understand the basic properties of ODE, including main features of initial value problems and boundary value problems, such as existence and uniqueness of solutions. |
|
(LO2) To know the elementary techniques for the solution of ODEs. |
|
(LO3) To understand the idea of reducing a complex ODE to a simpler one. |
|
(LO4) To be able to solve linear ODE systems (homogeneous and non-homogeneous) with constant coefficients matrix. |
|
(LO5) To understand a range of applications of ODE. |
|
(S1) Problem solving skills |
|
(S2) Numeracy |
Syllabus |
|
First-order ODEs: Theorem of existence & uniqueness (without proof). Separable, homogeneous, linear, exact equations. |
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): |
MATH101 Calculus I; MATH103 Introduction to Linear Algebra; MATH102 CALCULUS II |
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 exam on campus closed book | 90 | 40 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Class Test 1 on campus closed book | 60 | 30 | ||||
Class Test 2 on campus closed book | 60 | 30 |