PHY1026 Mathematics for Physicists 2017-18
Dr A. Usher
 
Delivery Weeks: T2:01-11
Level: 4 (NQF)
Credits: 15 NICATS / 7.5 ECTS
Enrolment: 154 students (approx)

Description

This module aims to consolidate students' skills in foundation topics in mathematics, to introduce students to some of the mathematical techniques that are most frequently used in physics, and to give students experience in their use and application. Emphasis is placed on the use of mathematical techniques rather than their rigorous proof.

Module Aims

This module pre-dates the current template; refer to the description above and the following ILO sections.

Intended Learning Outcomes (ILOs)

A student who has passed this module should be able to:

Syllabus Plan

  1. Multi-Variable Calculus
    1. Green's Theorem in the plane
    2. Surface integrals and their application to finding surface areas
    3. Evaluation of multiple integrals in different coordinate systems and using parameterisation
  2. The Dirac delta-function
  3. Vector Calculus
    1. The grad operator and its interpretation as a slope
    2. The divergence operator and its physical interpretation
    3. The divergence theorem
    4. The curl operator and its physical interpretation
    5. Stokes's theorem
  4. Fourier series, Fourier transforms including the convolution theorem
  5. Solution of linear ordinary differential equations
    1. First-order separable, homogeneous, exact and integrating-factor types
    2. Linear second-order equations with constant coefficients; damped harmonic motion

Learning and Teaching

Learning Activities and Teaching Methods

Description Study time KIS type
22×1-hour lectures 22 hours SLT
5×3-hour self-study packages 15 hours GIS
5×6-hour problems sets 30 hours GIS
Problems class support 11 hours SLT
Tutorial support 3 hours SLT
Reading, private study and revision 69 hours GIS

Assessment

Weight Form Size When ILOS assessed Feedback
0% Exercises set by tutor 3×1-hour sets (typical) Scheduled by tutor 1-9 Discussion in tutorials
0% Guided self-study 5×6-hour packages Fortnightly 1-9 Discussion in tutorials
20% 5 × Problems Sets 6 hours per set Fortnightly 1-9 Marked in problems class, then discussed in tutorials
15% Mid-term Test 1 30 minutes Weeks T2:04 1-9 Marked, then discussed in tutorials
15% Mid-term Test 2 30 minutes Weeks T2:08 1-9 Marked, then discussed in tutorials
50% Final Examination 120 minutes May/June assessment period 1-9 Mark via MyExeter, collective feedback via ELE and solutions.

Resources

The following list is offered as an indication of the type & level of information that students are expected to consult. Further guidance will be provided by the Module Instructor(s).

Core text:

Supplementary texts:

ELE:

Further Information

Prior Knowledge Requirements

Pre-requisite Modules Mathematics Skills (PHY1025)
Co-requisite Modules none

Re-assessment

Re-assessment is not available except when required by referral or deferral.

Original form of assessment Form of re-assessment ILOs re-assessed Time scale for re-assessment
Whole module Written examination (100%) 1-9 August/September assessment period

Notes: See Physics Assessment Conventions.

KIS Data Summary

Learning activities and teaching methods
SLT - scheduled learning & teaching activities 36 hrs
GIS - guided independent study 114 hrs
PLS - placement/study abroad 0 hrs
Total 150 hrs
Summative assessment
Coursework 20%
Written exams 80%
Practical exams 0%
Total 100%

Miscellaneous

IoP Accreditation Checklist
  • MT-05 Calculus to the level of multiple integrals.
  • MT-06 Solution of linear ordinary differential equations.
  • MT-09 [Vectors to the level of] div, grad and curl.
  • MT-10 The divergence theorem and Stokes's theorem.
  • MT-12 Fourier series and transforms including the convolution theorem.
Availability unrestricted
Distance learning NO
Keywords Physics; Derrivatives; Differential equations; Functions; Integrals; Linear algebra; Operators; Theorems.
Created 01-Oct-10
Revised 01-Oct-11