Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science


Curriculum for
Academic Year 2008/2009

Mathematics

Semester 1

Code Subject
Hours: C+S+L+P
Form of Exam.
Credits
MML1001 Groups Theory and Applications
2+2+0+0
E
8 cr.
MMA1001 Special Topics in Functional Analysis
2+2+0+0
E
8 cr.
MMG1001 Riemannian Geometry
2+2+0+0
E
7 cr.
MMA1002 Special Topics in Real Analysis
2+2+0+0
E
7 cr.
TOTAL
8+8+0+0=16
 
30 cr.
Facultative Courses:
XND1101
2+1+0+0
E
5 cr.
XND1102
2+1+0+0
E
5 cr.

Semester 2

Code Subject
Hours: C+S+L+P
Form of Exam.
Credits
MML1002 Module Theory
2+2+0+0
E
7 cr.
MMA1003 Convex Analysis
2+2+0+0
E
7 cr.
MMG1002 Analysis on manifolds
2+2+0+0
E
8 cr.
MMA1004 Special Topics of Complex Analysis
2+2+0+0
E
8 cr.
TOTAL
8+8+0+0=16
 
30 cr.
Facultative Courses:
XND1203
2+1+0+0
E
5 cr.
XND2204 Optional Course (1)
1+2+0+0
E
5 cr.

Semester 3

Code Subject
Hours: C+S+L+P
Form of Exam.
Credits
MMH1001 Methodology of Scientific Research in Mathematics
2+1+0+0
C
6 cr.
MXX3101 Optional Course 1
2+2+0+0
E
8 cr.
MXX3102 Optional Course 2
2+2+0+0
E
8 cr.
MXX3103 Optional Course 3
2+2+0+0
E
8 cr.
TOTAL
8+7+0+0=15
 
30 cr.
Facultative Courses:
XND2305 Practice of Education
0+3+0+0
C
5 cr.
XND2306 Optional Course (2)
1+2+0+0
E
5 cr.
Subjects for optional courses 1, 2 and 3
MML1003 Categories and Homological Algebra
2+2+0+0
8 cr.
MML1004 Commutative Rings and Number Theory
2+2+0+0
8 cr.
MMG1003 Algebraic and Differential Topology
2+2+0+0
8 cr.
MMA1005 Applied Functional Analysis
2+2+0+0
8 cr.
MMA1006 Optimal Control Theory
2+2+0+0
8 cr.
MMA1007 Univalent Functions and Differential Subordinations
2+2+0+0
8 cr.

Semester 4

Code Subject
Hours: C+S+L+P
Form of Exam.
Credits
MMH1002 Research Project
0+0+3+0
C
6 cr.
MXX3104 Optional Course 4
2+2+0+0
E
8 cr.
MXX3105 Optional Course 5
2+2+0+0
E
8 cr.
MXX3106 Optional Course 6
2+2+0+0
E
8 cr.
TOTAL
6+6+3+0=15
 
30 cr.
Subjects for optional courses 4, 5 and 6
MML1005 Special Topics of Modern Algebra
2+2+0+0
8 cr.
MMG1004 Morse Theory
2+2+0+0
8 cr.
MMG1005 Cohomology of Differential Forms
2+2+0+0
8 cr.
MMA1008 Numerical Methods in Optimization
2+2+0+0
8 cr.
MMA1009 Complex Functions of Several Variables
2+2+0+0
8 cr.
MMA1010 Modern Aspects in Topology and Measure Theory
2+2+0+0
8 cr.