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

Curriculum for
Academic Year 2012/2013

Mathematics

Semester 1

Code Subject Hours: C+S+L+P Form of Exam. Credits
MML1001 Groups Theory and Applications 2+1+0+1 E 8 cr.
MMA1004 Special Topics of Complex Analysis 2+1+0+1 E 8 cr.
MMG1015 Differentiable Manifolds 2+1+0+1 E 7 cr.
MMA1002 Special Topics in Real Analysis 2+1+0+1 E 7 cr.
TOTAL 8+4+0+4=16   30 cr.

Semester 2

Code Subject Hours: C+S+L+P Form of Exam. Credits
MML1002 Module Theory 2+1+0+1 E 7 cr.
MMA1003 Convex Analysis 2+1+0+1 E 7 cr.
MMG1002 Analysis on manifolds 2+1+0+1 E 8 cr.
MMA1001 Special Topics in Functional Analysis 2+1+0+1 E 8 cr.
TOTAL 8+4+0+4=16   30 cr.

Semester 3

Code Subject Hours: C+S+L+P Form of Exam. Credits
MME1002 Applied Nonlinear Analysis 2+1+0+1 C 8 cr.
MMH1001 Methodology of Scientific Research in Mathematics 2+1+0+0 C 6 cr.
MXX3101 Optional Course 1 2+1+0+1 E 8 cr.
MXX3102 Optional Course 2 2+1+0+1 E 8 cr.
TOTAL 8+4+0+3=15   30 cr.

Subjects for optional course 1
MML1003 Categories and Homological Algebra 2+1+0+1 8 cr.
MML1005 Special Topics of Modern Algebra 2+1+0+1 8 cr.
MML1004 Commutative Rings and Number Theory 2+1+0+1 8 cr.
Subjects for optional course 2
MMA1005 Applied Functional Analysis 2+1+0+1 8 cr.
MMA1008 Numerical Methods in Optimization 0+1+0+1 8 cr.

Semester 4

Code Subject Hours: C+S+L+P Form of Exam. Credits
MMG1004 Morse Theory 2+1+0+1 E 8 cr.
MMH1002 Research Project 0+0+3+0 C 6 cr.
MXX3103 Optional Course 3 2+1+0+1 E 8 cr.
MXX3104 Optional Course 4 2+1+0+1 E 8 cr.
TOTAL 6+3+3+3=15   30 cr.
Other Compulsory Courses
MMZ1004 Work for Dissertation Thesis 0+0+0+5 C -

Subjects for optional course 3
MMG1003 Algebraic and Differential Topology 2+1+0+1 7 cr.
MMG1001 Riemannian Geometry 2+1+0+1 7 cr.
Subjects for optional course 4
MMA1007 Univalent Functions and Differential Subordinations 2+1+0+1 7 cr.
MMA1009 Complex Functions of Several Variables 2+1+0+1 7 cr.
MMA1010 Modern Aspects in Topology and Measure Theory 2+1+0+1 7 cr.