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WYDZIAŁ CHEMICZNY POLITECHNIKI GDAŃSKIEJ Kierunek Ochrona Środowiska w języku angielskim

Mathematics			Codę	EPM 1.1
1 Hours	2	—_1_1_1_	ECTS credits	6

lec tut Lab Pro Sein

Passing conditions* | E/Z

Department Person responsible:

Mathematics Teaching Department Dr Anita Dąbrowicz-Tlałka_

Prereąuisites:

Working knowledge of basie mathematics (arithmetic and trigonometry)_

Subjects required prior to this course:

Aims of the course:

The primary concern of Mathematics 1 is with basie mathematical ideas and techniąues, enabling students to master standard topics in basie arithmetic, algebra, geometry , trigonometry and theory of the functions of one variable and build up confidence with mathematics to make foundation for morę advanced work in technical applications._

Teaching methods:

Lectures are delivered in a mixed system, utilizing both an overhead or a multimedia projector and the blackboard; respective lecture notes are published in advance in the Internet.

Classes are devoted to problems solying,_

Program contents:

Relations, functions and their graphs Domain, rangę, monotonicity, inverse of function Polynomials

Quotients of polynomials The exponential function The logarithm function The trigonometric function and their inverses The absolute value function

Absolute value and distances on the number linę and in the coordinate piane Absolute value function and their graph Equations and inequalities with absolute value Complex numbers Infmite sequences

Convergence and divergence, limit theorems Limits and continuity

The definition, the combination theorem for limits, properties of continuous functions Derivatives

The definition of the derivative of the function at a point, simple properties_

Basic and supplementary literaturę:

•    Lecture notes published on Gdańsk University of Technology course management system Moodle: http://www.moodle.pg.gda.pl/course/view.php?id=95

•    Lial, Homsby, Schneider “College Algebra and Trigonometry'” Pearson Education 2005

•    George D. Thomas “Thomas Calculus” MIT 2005_