Unit name | Essential Maths for Physics |
---|---|

Unit code | PHYS11400 |

Credit points | 10 |

Level of study | C/4 |

Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |

Unit director | Professor. Annett |

Open unit status | Not open |

Pre-requisites |
None. |

Co-requisites | |

School/department | School of Physics |

Faculty | Faculty of Science |

This unit will provide practice and training in the mathematics needed to complete the first year Physics courses and lay the foundations for subsequent years.

- Topics covered include: The equation of heat conduction, and its solution by half-range Fourier Series.
- Partial differentiation, the gradient vector and its physical meaning.
- Contours; tangents and normals to curves.
- Change of variables and the chain rule.
- Maxima and minima; stability of equilibrium.
- Parametric curves, line integrals and work done by a force; conservative fields.
- Exact differentials.
- Double integrals, including change of variables and polar coordinates; application to moments of inertia.
- Green's Theorem relating line integrals to double integrals; application to magnetic field generated by a current.
- Matrix algebra, matrices as transformations of vectors, rotation and reflection matrices.
- Determinants. Inverse matrix. Eigenvalues of 2x2 and 3x3 matrices, and application to vibrations.

Aims:

- To motivate students to learn mathematics, by showing it in action in physics; to develop students' mathematical skill and introduce the mathematical tools needed for first-year Physics.

Students will:

- be able to solve problems using partial differentiation, line integrals, double integrals, Fourier series, matrix algebra, and calculation of eigenvalues and eigenvectors of simple 2x2 and 3x3 matrices.

- have an appreciation of the physical meaning and application of: the gradient vector, line integrals and conservative fields, Fourier Series, and eigenvalues.

The unit will be taught through a combination of

- asynchronous online materials, including narrated presentations and worked examples
- synchronous group problems classes, workshops, tutorials and/or office hours
- asynchronous directed individual formative exercises and other exercises
- guided, structured reading

Weekly problems are both formative (through discussion in tutorials and written feedback) and summative. The final assessment mark for the unit is made up of:

- Weekly set written problems (10%)

- weekly set e-assessment problems (10%)

- final two hour examination (80%).

If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. PHYS11400).