Bachelor's Degree in Mathematics

		Study programme 2018-2019	Français
		Newtonian and Relativistic Mechanics
		Programme component of Bachelor's Degree in Mathematics à la Faculty of Science

Code	Type	Head of UE	Department’s contact details	Teacher(s)
US-B2-SCMATH-016-M	Compulsory UE	SEMAY Claude	S824 - Physique nucléaire et subnucléaire	SEMAY Claude

Language of instruction	Language of assessment	HT(*)	HTPE(*)	HTPS(*)	HR(*)	HD(*)	Credits	Weighting	Term
Français	Français	55	55	0	0	0	12	12.00	Année

AA Code	Teaching Activity (AA)	HT(*)	HTPE(*)	HTPS(*)	HR(*)	HD(*)	Term	Weighting
S-PHYS-011	Newtonian and Relativistic Mechanics (part A)	25	25	0	0	0	Q1
S-PHYS-811	Newtonian and Relativistic Mechanics (part B)	30	30	0	0	0	Q2

Programme component

Objectives of Programme's Learning Outcomes

Understand "elementary" mathematics profoundly

Understand one- and several-variable differential and integral calculus
Use vector spaces, linear applications and the techniques associated with them
Manipulate previously acquired knowledge that appears in a question

Understand and produce strict mathematical reasoning

Rely on a picture to illustrate a concept, rationale, etc.

Solve new problems

Adapt an argument to a similar situation
Use knowledge from different fields to address issues

Learning Outcomes of UE

Master techniques of tensor calculus
Work with different coordinate systems
Understand the basic principles of special relativity
Solve simple problems in the framework of special relativity
Understand the basic principles of newtonian mechanics
Solve simple problems in the framework of newtonian mechanics

Content of UE

Tensor calculus
Vector spaces
Tensors and tensor product
Scalar and vector products
Systems of coordinates
Differential operators

Special relativity
Space, time and mass
Lorentz transformations
Lorentz diagrams
Time dilation and length contraction
Minkowski space-time
4-vectors
Equivalence of mass and energy
Particle collisions

Newtonian mechanics
Linear motion
Energy and angular momentum
Central forces: orbits
Central forces: scattering
Rotating frames
Two-body and N-body problems
Rigid bodies
Small oscillations

Prior Experience

Not applicable

Type of Assessment for UE in Q1

Oral examination
Written examination

Q1 UE Assessment Comments

Written: 40%
Oral: 60% (can only be presented if the written exam is presented)
Part Q1 : 50% of the UE

Type of Assessment for UE in Q2

Oral Examination
Written examination

Q2 UE Assessment Comments

Written: 40%
Oral: 60% (can only be presented if the written exam is presented)
Part Q2 : 50% of the UE

Type of Assessment for UE in Q3

Oral examination

Q3 UE Assessment Comments

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AA	Type of Teaching Activity/Activities
S-PHYS-011	Cours magistraux Exercices dirigés
S-PHYS-811	Cours magistraux Exercices dirigés Démonstrations

Mode of delivery

AA	Mode of delivery
S-PHYS-011	Face to face
S-PHYS-811	Face to face

Required Reading

AA	Required Reading
S-PHYS-011	Note de cours - Partie 1 - Mécanique newtonienne et relativiste - 1 - Claude Semay Note de cours - Partie 2 - Mécanique newtonienne et relativiste - 1 - Claude Semay Note de cours - Partie 3 - Mécanique newtonienne et relativiste - 1 - Claude Semay
S-PHYS-811	Note de cours - Partie 4 - Mécanique newtonienne et relativiste - 2 - Claude Semay

Required Learning Resources/Tools

AA	Required Learning Resources/Tools
S-PHYS-011	Not applicable
S-PHYS-811	Not applicable

AA	Recommended Learning Resources/Tools
S-PHYS-011	C. Semay et B. Silvestre-Brac, Introduction au calcul tensoriel, Dunod, 2007 (disponible en bibliothèque) C. Semay et B. Silvestre-Brac, Relativité restreinte, Dunod, 2010 (disponible en bibliothèque)
S-PHYS-811	Tom Kibble and Frank Berkshire, Classical mechanics, Imperial College Press, 2004 (available in library)