CS1104_07 | Faculty of Computer Science

Mathematics

Course name

Mathematics

Code

CS1104

Class	Computer Science, 2007 - 2010
Level	Undergraduate	Year	1	Semester	1	Status	Compulsory

Hours per week				Total hours per semester	Total hours of individual work	Credits	Evaluation type	Teaching language
C	S	L	Pr
2	2	0	0	56	94	5	M	ro

Taught by	Academic and scientific title, name
	Lecturer, PhD, Florin Iacob

Required courses

Objectives	To systematize and to get thoroughly into the study of some theoretical and applied questions on differential and integral calculus in the spaces R, R and Rⁿ (n ≥ 2). To present certain basic results in the domain of real differentiable and integrable vectorial functions. To expose elements of differential equations and their applications. To point out fundamental ideas in real analysis for the benefit of other objects of study at the Faculty of Computer Science.
General thematics	Algebraic and topological aspects of the spaces R, R and Rⁿ (n ≥ 2). Real functions of one and several variables (limits, continuity, derivatives and differentials). Basic applications. Definite and indefinite integrals. Multiple integrals. Differential equations.
Seminary / Laboratory thematics	Metrics, norms and inner products on R, R and Rⁿ (n ≥ 2). Remarkable points and sets in Rⁿ (n ∈ N^*). Sequences and series of real numbers. Problems on scalar and vectorial continuous real functions. Derivatives and differentials (applications). Simple and multiple integrals (exercises). Improprer integrals. Integrals with parameters. Ordinary differential equations. Partial differential equations of first order (exercises).
Teaching methods	Verbal and written exposure of the most important definitions, results and applications. Heuristic approach using the course and seminary resources – supplied on a special website ( http://thor.info.uaic.ro/~fliacob/ ).

Bibliography

Protter H. Murray – Basic elements of real analysis, 1998.
Precupanu Anca – The Basis of Mathematical Analysis (Romanian), Ed. Polirom, Iaşi, 1998.
Barbu C. Otilia – Fundamente di matematica: teorie, algoritmi ed applicazioni, per le scuole superiori, 2003.
Macovei Elena – Mathematical Foundations (I-ID) (course in Romanian), Iaşi, 2005.
Raduly Ştefan – Course on General Mathematics for the Computational Calculus (in Romanian), 2003.
Gorunescu Marina – Lessons on Mathematical Analysis for the Students in Computer Science and Notebook for Seminaries (in Romanian), Craiova, 2000.
Mititelu Ştefan – Seminary on Mathematical Analysis, 2004.

Evaluation	conditions	Compulsory participation at the written examination during the semester.
	criterias	Presence and activity at the seminaries. Home works achievement. Written examination results.
	modes	Appreciation (with a bonus) of the frequency and the activity at the seminaries. Marking the written examinations.
	formula	NF = MIN( 10, ROUND( (PL+PE) / 2 + B ), where PL = the mark at the written semestrial examination, PE = the mark at the sessional written examination, B = the bonus.