Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Informatică
Programul de studii: Ingineria informatiei - în limba engleză
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MMH0001	History of Mathematics	

Semester	Hours: C+S+L	Category	Status	
6	1+0+0	complementary	optional	

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
MODOI George Ciprian	Ph.D.	Lect.	Algebra	*			

Associated faculty members
Name and	Scientific	Institution	Type of	Type of activity	
surname	title		position	C	S	L	

III. Course objectives
1.	Understanding of mathematical concepts by learning how and why those concepts arose. 
2.	Providing an overview of mathematics in the historical context. 
3.	Indicating the place of the mathematics as a part of culture.
4.	Improving the written and spoken communication skills.	

IV. Course contents
1.	What was mathematics taught to be during the time?
2.	Ancient mathematics. Mathematics and the physical word.
3.	Greek mathematics. The main schools and main problems. 
4.	The Middle Age and the Renaissance: from the Arabians to Copernicus.  
5.	Modern mathematics: differential and integral calculus, non-euclidean geometries, the solution of algebraic equations.  
6.	Contemporary mathematics: foundational problems, set theory, category theory, theoretic computer science. 	

V. Bibliography
[A] G.D. Allen, Lectures on History of Mathematics, disponibil la http://www.math.tamu.edu/~don.allen/history/m629_97a.html 
[B] N. Both, Istoria matematicii, Editura ALC MEDIA GROUP, Cluj-Napoca 1999.
[S] P. Schultz, History of Mathematics, disponibil la http://www.math.uwa.edu.au/~scultz/3M3/2000_Course_Notes.html
[T] ***, The MacTutor History of Mathematics archive, disponibil la 
http://www-groups.dcs.st-and.ac.uk/~history	

VI. Thematic of didactic activities per weeks
1.	Toward a classification of mathematics viewed in his evolution. 
2.	Ancient mathematics: China, India, Egypt, Mesopotamia. 
3.	Greek mathematics.
4.	Famous problem of Greek mathematics.
5.	The mathematics in the middle age.
6.	Mathematics during the Renaissance
7.	The modern calculus: Newton and Leibniz
8.	The Riemann integral.
9.	Geometry and axiomatics.
10.	Solving algebraic equations.
11.	The problem of the fundaments.
12.	Set theory or dealing with infinity
13.	Structuralism in mathematics: category theory.
14.	Computers and algorithms.    	

VII. Didactic methods used
Expositions, heuristic conversations, exemplifications, individual or group research projects, individual study.	

VIII. Assessment
The activity ends with a spoken colloquy (grade C) and a project (grade P). The subject of the project will be established in common by teacher and each student. The final grade is the mean of the two grades mentioned above. The final grade will be calculated by formula  N= 50%C + 50%P.	

IX. Additional references
1. A. Dumitriu, Istoria logicii, vol 1-4, Editura Tehnica, Bucuresti, 1993, 1995, 1997, 1998.  
2. Iuskevici, A., Istoria matematicii in Evul mediu, Bucuresti, 1963.
3. Kolman, E., Istoria matematicii in antichitate, Bucuresti, 1963.
4. Mihaileanu, N., Istoria matematicii I, II, Bucuresti, 1974.
5. Toth, A., Istoria matematicii, Lito Univ. Cluj, 1970.	

	Dean,							Chair head,
	Prof. Dr. TAMBULEA Leon			Conf. Dr. BREAZ Simion

Date, 							Course responsible,
	4.03.09						Lect. MODOI George Ciprian, Ph.D.