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


Curriculum for
Academic Year 2004/2005

Mathematics

Semester 1

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MA001 Basic algebraic structures
2+2+0
E
6 cr.
MA005 Mathematical logic and set theory
2+2+0
E
6 cr.
MO001 Mathematical analysis (1)
2+2+0
E
6 cr.
MO030 Metrical spaces
2+1+0
E
5 cr.
MI001 Algorithms
2+2+2
E
7 cr.
TOTAL
10+9+2=21
  
30 cr.
Other Compulsory Courses:
XL001 Foreign language (1)
0+2+0
C
2.5 cr.
XK021 Sports (1)
0+2+0
C
-
Facultative Courses:
XL005 Second foreign language (1)
0+2+0
C
2.5 cr.
MI083 Computer interface and communication in Internet
2+0+1
C
2.5 cr.

Semester 2

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MA002 Linear algebra
2+2+0
E
6 cr.
MO002 Mathematical analysis (2)
2+2+0
E
6 cr.
MG001 Curves and surfaces
2+1+0
E
5 cr.
MG020 Analytical geometry
2+2+0
E
5 cr.
MI074 Object oriented programming
2+2+2
E
8 cr.
TOTAL
10+9+2=21
  
30 cr.
Other Compulsory Courses:
XL002 Foreign language (2)
0+2+0
C
2.5 cr.
XK022 Sports (2)
0+2+0
C
-
Facultative Courses:
XL006 Second foreign language (2)
0+2+0
C
2.5 cr.
Y001 Psychology of education
2+2+0
C
4 cr.

Semester 3

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MA003 Rings and fields
2+2+0
E
6 cr.
MO003 Mathematical analysis (3)
2+2+0
E
6 cr.
MG002 Affin geometry
2+1+0
E
6 cr.
MT003 Complex analysis (1)
2+2+0
E
6 cr.
ME001 Ordinary differential equations and dynamical systems (1)
2+2+0
E
6 cr.
TOTAL
10+9+0=19
  
30 cr.
Other Compulsory Courses:
XL003 Foreign language (3)
0+2+0
C
2.5 cr.
XK023 Sports (3)
0+2+0
C
-
Facultative Courses:
XL007 Second foreign language (3)
0+2+0
C
2.5 cr.
Y004 Introduction in pedagogy. Theory and methodology of curriculum
2+1+0
C
4 cr.

Semester 4

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MA004 Galois theory and universal algebras
2+1+0
E
6 cr.
MG003 Differential manifolds
2+2+0
E
6 cr.
MT001 Real analysis (1)
2+2+0
E
6 cr.
MT004 Complex analysis (2)
2+1+0
E
6 cr.
MM001 Theoretical mechanics (1)
2+2+0
E
6 cr.
TOTAL
10+8+0=18
  
30 cr.
Other Compulsory Courses:
XL004 Foreign language (4)
0+2+0
C
2.5 cr.
XK024 Sports (4)
0+2+0
C
-
Facultative Courses:
XL008 Second foreign language (4)
0+2+0
C
2.5 cr.
Y005 Theory and methodology of instruction. Theory and methodology of evaluation
2+1+0
C
4 cr.

Semester 5

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MO004 Functional analysis (1)
2+2+0
E
6 cr.
MG004 Riemannian geometry
2+1+0
E
6 cr.
ME003 Partial differential equations (1)
2+2+0
E
6 cr.
MC001 Numerical analysis (1)
2+2+2
E
6 cr.
MM002 Theoretical mechanics (2)
2+1+0
E
6 cr.
TOTAL
10+8+2=20
  
30 cr.
Facultative Courses:
Y011 Didactics of Mathematics
2+1+0
C
3 cr.

Semester 6

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MO005 Functional analysis (2)
2+1+0
E
5 cr.
ME004 Partial differential equations (2)
2+1+0
E
5 cr.
MC003 Probability theory
2+2+0
E
5 cr.
MC002 Numerical analysis (2)
2+1+0
C
5 cr.
MM003 Astronomy
2+1+1
E
5 cr.
MI038 Birotics
2+0+2
E
5 cr.
TOTAL
12+6+3=21
  
30 cr.
Facultative Courses:
Y015 Practice of education - Mathematics
0+4+0
C
5 cr.
Y017 Optional subject psihopedagogy
1+2+0
C
3.5 cr.

Semester 7

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MO006 Operations research
2+2+0
E
6 cr.
MC004 Mathematical statistics
2+2+1
E
6 cr.
MS001 Optional course 1
2+2+0
C
6 cr.
MS002 Optional course 2
2+2+0
C
6 cr.
MS003 Optional course 3
2+2+0
C
6 cr.
TOTAL
10+10+1=21
  
30 cr.
Facultative Courses:
Y018 Optional subject sociopedagogy
1+2+0
C
3.5 cr.
MA006 History of mathematics
2+0+0
C
3 cr.
Subjects for optional course 1.
Package 1:
MA008 Theory of categories
2+2+0
6 cr.
MA028 Special topics of module theory
2+2+0
6 cr.
Package 2:
MO009 Supplement of mathematica analysis
2+2+0
6 cr.
MO044 Convex functions
2+2+0
6 cr.
MO050 Basic notions in mathematical analysis
2+2+0
6 cr.
Subjects for optional course 2.
Package 1:
MG009 Complements of geometry
2+2+0
6 cr.
MG012 Lie groups and Lie algebras
2+2+0
6 cr.
Package 2:
MG009 Complements of geometry
2+2+0
6 cr.
MG021 Projective geometry
2+2+0
6 cr.
Subjects for optional course 3.
Package 1:
ME048 Fixed point theory and applications
2+2+0
6 cr.
ME012 Mathematical modelling
2+2+0
6 cr.
Package 2:
MT030 Geometric function theory
2+2+0
6 cr.
MT032 Ordered vector spaces
2+2+0
6 cr.

Semester 8

Code Subject
Hours: C+S+L
Form of Exam.
Credits
MS004 Optional course 4
2+2+0
E
7.5 cr.
MS005 Optional course 5
2+2+0
E
7.5 cr.
MS006 Optional course 6
2+2+0
E
7.5 cr.
MS007 Optional course 7
2+2+0
E
7.5 cr.
TOTAL
8+8+0=16
  
30 cr.
Subjects for optional course 4.
Package 1:
MO010 Numerical solutions of equations
2+2+0
7.5 cr.
MO049 Vector Optimization
2+2+0
7.5 cr.
Package 2:
MA024 Criptography
2+2+0
7.5 cr.
MA025 Algebraic number theory
2+2+0
7.5 cr.
Subjects for optional course 5.
Package 1:
MT027 Univalent functions and Hardy spaces
2+2+0
7.5 cr.
MT030 Geometric function theory
2+2+0
7.5 cr.
Package 2:
ME039 Discrete and reccurence equations
2+2+0
7.5 cr.
ME050 Selected topics of differential equations
2+2+0
7.5 cr.
Subjects for optional course 6.
Package 1:
MC029 Multivariate approximations
2+2+0
7.5 cr.
MC030 Linear Approximation Processes
2+2+0
7.5 cr.
Package 2:
MC031 Stochastic processes and fractals
2+2+0
7.5 cr.
MC032 Introduction in wavelets
2+2+0
7.5 cr.
Subjects for optional course 7.
Package 1:
MM006 Selected topics of Astronomy
2+2+0
7.5 cr.
MM014 Computational methods in fluid mechanics
2+2+0
7.5 cr.
Package 2:
MM004 Celestical Mechanics
2+2+0
7.5 cr.
MM006 Selected topics of Astronomy
2+2+0
7.5 cr.