# PHYSICS 741 : Advanced Classical Mechanics and Electrodynamics

## Science

### Course Prescription

Develops and deepens students’ knowledge and understanding of advanced topics in classical mechanics and electromagnetism, including variational and least action principles in mechanics, the physical basis of magnetism; and the four-vector treatment of special relativity and electromagnetism.

### Course Overview

The course is split into two halves. The first half focuses on nonlinear dynamics and the Lagrange and Hamilton formulation of mechanics, with topics including bifurcation theory, chaos, limit cycles, Noether's theorem, Lagrange multipliers, Poisson brackets and phase space orbits. The second half is dedicated to advanced electrodynamics and includes an introduction to vector calculus in various coordinate systems, techniques for solving Poisson's equation, the Lorentz transformation and special relativity, the transformation rules of electric and magnetic fields, the fields and potentials of relativistic charges, and the formulation of electromagnetism in terms of four-vectors and tensors.

### Course Requirements

Restriction: PHYSICS 331, 705

### Capabilities Developed in this Course

 Capability 1: Disciplinary Knowledge and Practice Capability 2: Critical Thinking Capability 3: Solution Seeking Capability 4: Communication and Engagement Capability 5: Independence and Integrity

### Learning Outcomes

By the end of this course, students will be able to:
1. Develop an understanding of the ways dynamical effects arises in complex systems (Capability 1 and 3)
2. Critically evaluate the strengths and weaknesses of the different frameworks of classical mechanics (Capability 1, 2 and 4)
3. Be able to solve problems in classical mechanics using more than one approach, and use the best framework for the desired solution (Capability 1, 2, 3 and 5)
4. Develop skills in vector calculus in different coordinate systems (Capability 1 and 3)
5. Discover advanced electromagnetism concepts, including momentum and radiation (Capability 1, 2, 3 and 4)
6. Be able to solve problems on the geometry of space-time with the Lorentz transformations (Capability 1, 2 and 3)
7. Learn the 4-vector formulation of electromagnetism (Capability 1, 2 and 4)

### Assessments

Assessment Type Percentage Classification
Assignments 40% Individual Coursework
Quizzes 10% Individual Coursework
Final Exam 50% Individual Examination
1 2 3 4 5 6 7
Assignments
Quizzes
Final Exam

### Tuākana

Tuākana Science is a multi-faceted programme for Māori and Pacific students providing topic specific tutorials, one-on-one sessions, test and exam preparation and more. Explore your options at
https://www.auckland.ac.nz/en/science/study-with-us/pacific-in-our-faculty.html
https://www.auckland.ac.nz/en/science/study-with-us/maori-in-our-faculty.html

This course is a standard 15-point course and students are expected to spend 10 hours per week involved in each 15-point course that they are enrolled in.

For this course, a typical weekly workload includes:

• 3 hours of lectures
• 3-4 hours of reviewing the course content
• 3-4 hours of work on assignments and/or test preparation

### Delivery Mode

#### Campus Experience & Campus Experience

Attendance is expected at scheduled activities including lectures.
The course will not include live online events.
Attendance on campus is required for the exam.
The activities for the course are scheduled as a standard weekly timetable.

### Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

Course Notes:
• Course notes and slides will be provided.
• Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering, by Steven Strogatz.
• Classical Mechanics (5th ed. 2004), by Kibble and Berkshire.
• Introduction to Electrodynamics (4th ed. 2014) by D.J. Griffiths.
• Classical Dynamics Notes, by David Tong (http://www.damtp.cam.ac.uk/user/tong/dynamics.html).
• Classical Mechanics (3rd ed), by H. Goldstein, C.P. Poole and J.L. Safko.

### Student Feedback

During the course Class Representatives in each class can take feedback to the staff responsible for the course and staff-student consultative committees.

At the end of the course students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback.

Your feedback helps to improve the course and its delivery for all students.

No feedback was provided (too few respondents). Based on an internal review, we plan to provide better continuity of topics and minimize overlaps with PHYSICS 202. More extensive course material will also be prepared.

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed against online source material using computerised detection mechanisms.

### Class Representatives

The content and delivery of content in this course are protected by copyright. Material belonging to others may have been used in this course and copied by and solely for the educational purposes of the University under license.

You may copy the course content for the purposes of private study or research, but you may not upload onto any third party site, make a further copy or sell, alter or further reproduce or distribute any part of the course content to another person.

### Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website

### Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page .

This should be done as soon as possible and no later than seven days after the affected test or exam date.

### Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

The delivery mode may change depending on COVID restrictions. Any changes will be communicated through Canvas.

### Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter .

### Disclaimer

Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.

Published on 31/10/2022 09:31 a.m.