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 FOR PHYSICISTS II
Code PHYS108
Coordinator Dr J Price
Physics
Joe.Price@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2024-25 Level 4 FHEQ Second Semester 15

Aims

To consolidate and extend the understanding of mathematics required for the physical sciences. To develop the student’s ability to apply the mathematical techniques developed in the module to the understanding of physical problems.

Learning Outcomes

(LO1) Familiarity with methods for solving first and second order differential equations in one variable.

(LO2) Familiarity with methods for solving partial differential equations with applications

(LO3) A basic knowledge of integral vector algebra.

(LO4) A basic understanding of Fourier series and transforms.

(LO5) A basic understanding of series methods for the solution of differential equations

(S1) Numeracy

(S2) Problem solving skills

(S3) Collaborative Learning

Syllabus
 

Differential equations
First and Second order Differential Equations in one variable, integrating factors, homogenous (and inhomogeneous) equations.

Integral Vector Calculus.
Line and surface integrals in cartesian and polar coordinate systems

Partial Differential Equations.
Characteristics and separation of variables with examples with references to the wave equation, heat equation, Schrodinger equation, Poisson equation, Laplace equation etc

Teaching and Learning Strategies

Teaching Method 1 - Lecture
Description: 12 x 3 lectures/week
Attendance Recorded: Yes

Teaching Method 2 - Problems Class
Description: 12 x 2-hour problems classes. Students attempt a range of problems associated with the course material, under supervision of the lecturer and demonstrators
Attendance Recorded: Yes

Asynchronous learning materials (notes/videos/exercises etc) will be made available to students through the VLE. The module will have regular synchronous sessions in active learning mode.

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

   24

       60
Timetable (if known)              
Private Study 90
TOTAL HOURS 150

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
In person, time-controlled examination  2.5    80       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Problems Classes First 5 Problem Sheets  0    10       
Problems Classes Second 5 problem sheets  0    10       

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