Study programme 20202021  Français  
Algebra II  
Programme component of Bachelor's in Mathematics à la Faculty of Science 
Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what special Covid19 assessment methods are possibly planned for the end of Q3 

Code  Type  Head of UE  Department’s contact details  Teacher(s) 

USB2SCMATH002M  Compulsory UE  VOLKOV Maja  S843  Géométrie algébrique 

Language of instruction  Language of assessment  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Credits  Weighting  Term 

 Français  30  20  0  0  0  5  5.00  2nd term 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

SMATH011  Algebra II  30  20  0  0  0  Q2  100.00% 
Programme component 

Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
Basic algebra: groups, commutative rings, fields.
This course aims to present the essential material in undergraduate basic algebra.
Content of UE
Groups: generated subgroups, factorisation of morphisms, canonical isomorphisms, centralisers, normalisers, dihedral groups, quaternion group, linear groups over finite fields.
Commutative rings: prime ideals, maximal ideals, operations on ideals, Chinese remainder theorem, PID's and UFD's.
Fields: field extensions, multiplicativity of degrees, algebraic and transcendental elements, roots of unity, minimal polynomials, extension degree computations.
Prior Experience
"Algèbre I" course.
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
Not applicable
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

SMATH011 

Mode of delivery
AA  Mode of delivery 

SMATH011 

Required Reading
AA  

SMATH011 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

SMATH011  Not applicable 
Recommended Reading
AA  

SMATH011 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

SMATH011  M.A. Armstrong, Groups and Symmetry, Undergraduate Texts in Mathematics, SpringerVerlag. D. Perrin, Cours d'Algèbre, Ellipses. A. ChambertLoir, Algèbre corporelle, Les Editions de l'Ecole polytechnique. 
Other Recommended Reading
AA  Other Recommended Reading 

SMATH011  Not applicable 
Grade Deferrals of AAs from one year to the next
AA  Grade Deferrals of AAs from one year to the next 

SMATH011  Authorized 