Module Search

MATH2071: MATHEMATICAL PHYSICS II

Please ensure you check the module availability box for each module outline, as not all modules will run in each academic year. Each module description relates to the year indicated in the module availability box, and this may change from year to year, due to, for example: changing staff expertise, disciplinary developments, the requirements of external bodies and partners, and student feedback. Current modules are subject to change in light of the ongoing disruption caused by Covid-19.

Type	Open
Level	2
Credits	20
Availability	Available in 2023/24
Module Cap
Location	Durham
Department	Mathematical Sciences

Prerequisites

Calculus I (Maths Hons) (MATH1081) or Calculus I (MATH1061) AND Linear Algebra I (Maths Hons) (MATH1091) or Linear Algebra I (MATH1071) AND [Dynamics 1 (MATH1607) OR Foundations of Physics I (PHYS1122)] [the latter two modules may be a co-requisite]

Corequisites

Dynamics 1 (MATH1607) unless taken before, orunless Foundations of Physics I (PHYS1122) has been takenbefore.

Excluded Combinations of Modules

Mathematics for Engineers and Scientists (MATH1551), SingleMathematics A (MATH1561), Single Mathematics B (MATH1571), Theoretical Physics 2 (PHYS2631)

Aims

To appreciate the conceptual framework of classical and quantum physics.

Content

Lagrangian and Hamiltonian Dynamics.
The Wave Equation
Small oscillations of systems of particles.
Physics basis of Quantum Mechanics,
Schrodingers Equation

Learning Outcomes

Subject-specific Knowledge:

By the end of the module students will: be able to solve arange of predictable and unpredictable problems in MathematicalPhysics.
have an awareness of the abstract concepts of theoretical mathematics in the field of Mathematical Physics.
have a knowledge and understanding of fundamental theories ofthese subjects demonstrated through one or more of the following topicareas:
Lagrangian and Hamiltonian Dynamics.
Symmetries and their relation to conserved quantities.
Small oscillations of systems of particles.
Wave equations.
Elementary Quantum Mechanics.
Wave functions and their probabilistic interpretation.
Applications to simple physical problems.

Subject-specific Skills:

In addition students will have the ability to undertake anddefend the use of alternative mathematical skills in the followingareas with minimal guidance: Modelling.

Key Skills:

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

Lecturing demonstrates what is required to be learned and the application of the theory to practical examples.
Weekly homework problems provide formative assessment to guidestudents in the correct development of their knowledge andskills.
Tutorials provide active engagement and feedback to thelearning process.
The end-of-year examination assesses the knowledge acquiredand the ability to solve predictable and unpredictableproblems.

Teaching Methods and Learning Hours

Activity	Number	Frequency	Duration	Total	Monitored
Lectures	42	2 per week	1 Hour	42
Tutorials	10	Fortnightly for 21 weeks	1 Hour	10	Yes
Problems Classes	9	Fortnightly for 20 weeks	1 Hour	9
Preparation and Reading				139
Total				200

Summative Assessment

Component: Examination		Component Weighting: 100%
Element	Length / Duration	Element Weighting	Resit Opportunity
Written examination	3 hours	100	Yes

Formative Assessment

Fortnightly or weekly written assignments in the first 2 terms.

More information

If you have a question about Durham's modular degree programmes, please visit our FAQ webpages, Help page or our glossary of terms. If you have a question about modular programmes that is not covered by the FAQ, or a query about the on-line Undergraduate Module Handbook, please contact us.

Prospective Students: If you have a query about a specific module or degree programme, please Ask Us.

Current Students: Please contact your department.