# PHSI336 Mathematical Physics

Techniques and applications of classical mechanics: calculus of variations, Lagrangian and Hamiltonian formulations. The special theory of relativity and applications: relativistic mechanics, electrodynamics in covariant form. Cosmology.

This paper presents the foundational theory for two major topics in physics. The Classical Mechanics section introduces the formal framework of classical mechanics and illustrates its application to two-body problems, oscillating systems and non-inertial frames, such as rotating systems. The Special Relativity and Cosmology section covers the special theory of relativity with applications to relativistic mechanics as well as an introduction to cosmology. This paper is the same as the MATH 374 paper offered by the Department of Mathematics and Statistics. It is taught jointly by staff from both departments.

Paper title Mathematical Physics PHSI336 Physics 0.1500 18 points Second Semester \$1,018.05 \$4,320.00
Prerequisite
MATH 203 and 36 300-level PHSI or MATH points
Restriction
PHSI 334, MATH 374
Recommended Preparation
(PHSI 231 and PHSI 232) and (MATH 262 or COMO 204)
Schedule C
Science
Contact
terry.scott@otago.ac.nz
Teaching staff
Course Co-ordinator: Dr Terry Scott
Dr Florian Beyer
Dr Jōrg Hennig
Textbooks
Classical Mechanics, John Taylor.
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
Learning Outcomes
After completing this paper students will be able to
• Understand and use the calculus of variations, particularly in the derivation of the Lagrangian formulation of classical mechanics
• Understand and use the Hamiltonian and Lagrangian formulations of classical mechanics and how they are related
• Use the principles of classical mechanics to analyse standard systems, such as two-body central force problems and the rotation of rigid bodies
• Understand the principles of special relativity and the representation of these principles in the Lorentz Transformation and covariant formalism
• Solve problems in relativistic mechanics using these principles
• Understand the introductory ideas of cosmology

## Timetable

### Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
L1 Tuesday 12:00-12:50 28-34, 36-41
Wednesday 11:00-11:50 28-34, 36-41
Thursday 12:00-12:50 28-34, 36-41

#### Tutorial

Stream Days Times Weeks
Attend
T1 Friday 14:00-14:50 36-41
Friday 14:00-15:50 29, 31, 33

Techniques and applications of classical mechanics: calculus of variations, Lagrangian and Hamiltonian formulations. The special theory of relativity and applications: relativistic mechanics, electrodynamics in covariant form. Cosmology.

This paper presents the foundational theory for two major topics in physics. The Classical Mechanics section introduces the formal framework of classical mechanics and illustrates its application to two-body problems, oscillating systems and non-inertial frames, such as rotating systems. The Special Relativity and Cosmology section covers the special theory of relativity with applications to relativistic mechanics as well as an introduction to cosmology. This paper is the same as the MATH 374 paper offered by the Department of Mathematics and Statistics. It is taught jointly by staff from both departments.

Paper title Mathematical Physics PHSI336 Physics 0.1500 18 points Second Semester Tuition Fees for 2018 have not yet been set Tuition Fees for international students are elsewhere on this website.
Prerequisite
MATH 203 and 36 300-level PHSI or MATH points
Restriction
PHSI 334, MATH 374
Recommended Preparation
(PHSI 231 and PHSI 232) and (MATH 262 or COMO 204)
Schedule C
Science
Contact
terry.scott@otago.ac.nz
Teaching staff
Course Co-ordinator: Dr Terry Scott
Dr Florian Beyer
Dr J?ìrg Hennig
Textbooks
Classical Mechanics, John Taylor.
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
Learning Outcomes
After completing this paper students will be able to
• Understand and use the calculus of variations, particularly in the derivation of the Lagrangian formulation of classical mechanics
• Understand and use the Hamiltonian and Lagrangian formulations of classical mechanics and how they are related
• Use the principles of classical mechanics to analyse standard systems, such as two-body central force problems and the rotation of rigid bodies
• Understand the principles of special relativity and the representation of these principles in the Lorentz Transformation and covariant formalism
• Solve problems in relativistic mechanics using these principles
• Understand the introductory ideas of cosmology

## Timetable

### Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
L1 Tuesday 12:00-12:50 28-34, 36-41
Wednesday 11:00-11:50 28-34, 36-41
Thursday 12:00-12:50 28-34, 36-41

#### Tutorial

Stream Days Times Weeks
Attend
T1 Friday 14:00-14:50 36-41

#### Workshop

Stream Days Times Weeks
Attend
W1 Friday 14:00-15:50 29, 31, 33