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

SYLLABUS

I. General data
Code	Subject	
MMH0001	The History of Mathematics	

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

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
BREAZ Simion Sorin	Ph.D.	Assoc.Prof.	Mathematics	*			

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

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

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

V. Bibliography
Both, Nicolae: Istoria matemaicii -- mini curs. Univ. "Babes-Bolyai" Cluj-Napoca, Facultatea de Matematica si Informatica, Cluj-Napoca, 1981.
Both, Nicolae: Istoria matemaicii. Editura ALC Media Group, Cluj-Napoca, 1999.
Filep László: A tudományok királynoje (A matematika fejlodése). Typotex Kiadó, Budapest, 2001.
Gingyikin, Szemjon Grigorjevics: Történetek fizikusokról és matematikusokról. Typotex Kiadó, Budapest, 2004.
Mihaileanu, N.: Istoria matematicii – Antichitatea; Evul mediu; Renasterea si secolul al 17-lea. Editura Enciclopedica Româna, Bucuresti, 1974.
Mihaileanu, N.: Istoria matematicii -- Secolul al 18-lea; Prima jumatate a secolului a 19-lea; Dezvoltarea ulterioara a matematicii. Editura Stiintifica si Enciclopedica, Bucuresti, 1981.
Sain Márton: Matematikatörténeti ABC. Tankönyvkiadó, Budapest, 1978.
D. I. Struik: A matematika rövid története. Gondolat Kiadó, Budapest, 1958.
Toth Alexandru: Istoria matematicii, Univ. "Babes-Bolyai" Cluj, Facultatea de Matematica si Informatica, Cluj-Napoca, 1971.	

VI. Thematic of didactic activities per weeks
Toward a classification of mathematics viewed in his evolution.  Ancient mathematics: China, India, Egypt, Mesopotamia. 
Greek mathematics. Famous problem of Greek mathematics.
The mathematics in the middle age. Mathematics during the Renaissance
The modern calculus: Newton and Leibniz. The Riemann integral.
Geometry and axiomatics. Solving algebraic equations.
The problem of the fundaments. Set theory or dealing with infinity
Structuralism in mathematics: category theory. 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,

	Date,							Course responsible,
	01.10.11						Assoc.Prof. BREAZ Simion Sorin, Ph.D.