NETB153 Математически анализ

Анотация:

The course is designed to help students to understand the basic ideas of continuous mathematics as limits, continuity, derivatives, integrals. It will show the conceptual part and the practical value of calculus. The covered mathematical topics will be necessary both for the mathematical courses, and as support for other subjects.

The lectures will introduce the topic, supported by worked examples. Seminars will involve students in exercises and practical problems. Emphasis is on encouraging the student to learn mathematics by doing it – students should not be observers, they should be participants.

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Мрежови технологии (на английски език)

Преподавател(и):

проф. Емил Колев  д-р

Описание на курса:

Компетенции:

Students successfully finished this course will:

1) know:

limits; methods of differentiation; curve sketching; techniques of integration and application of integration

2) be able to:

calculatie limits; differentiate functions; sketch the graph of a function; evaluate definite and indefinite integrals; solve the area problems and find the length of a curve
Предварителни изисквания:
The course assumes high school mathematical experience and a strong understanding of linear algebra and analytical geometry.

Форми на провеждане:
Редовен

Учебни форми:
Лекция

Език, на който се води курса:
Английски

Теми, които се разглеждат в курса:

Литература по темите:

1. Stewart, J., Calculus, V Edition, Brooks/Cole Publishing

Company, 2002.

2. Aria J.C. and Lardner R.W., Mathematical analysis for business,

economics, and the life and social sciences, New Jersey,

Prentice-Hall, 1989.

3. Trench W. F., Introduction to real analysis, Pearson Educaton,

2003.

4. Маринов, М., Математически анализ в примери и задачи. “Деметра” С. 2004.

Средства за оценяване:

Form of evaluation:

- Current evaluation (CE): Test – 50 points, Total : 100 points.

- Final Test (FT): 100 points.

The (CE) and (FT) estimates are form separately as follows:

70 points and more – 6

60 – 69 points - 5

50 – 59 points - 4

40 – 49 points - 3

les than 40 - 2

Final estimate (E) is obtained by the formulae: (E) = max[CE , FT]