# GAZI UNIVERSITY INFORMATION PACKAGE - 2018 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS I/MAT101E
 Course Title: MATHEMATICS I Credits 4 ECTS 6 Semester 1 Compulsory/Elective Compulsory
COURSE INFO
-- LANGUAGE OF INSTRUCTION
Turkish
-- NAME OF LECTURER(S)
-- WEB SITE(S) OF LECTURER(S)

-- EMAIL(S) OF LECTURER(S)

-- LEARNING OUTCOMES OF THE COURSE UNIT
The ability to use the acquisitions in vocational courses and researches is gained by investigating the basic topics of mathematics such as functions,

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face
-- PREREQUISITES AND CO-REQUISITES
There is no prerequisite or co-requisite for this course.
-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
There is no recommended optional programme component for this course.
 --COURSE CONTENT 1. Week INTRODUCTION: Sets, numbers (real and complex), intervals, inequalities, neighborhoods, coordinates 2. Week FUNCTIONS: Definition and image of sets, injections, surjections and inverse functions, combinations of functions and function composition, some spec 3. Week ALGEBRAIC AND TRANSCENDENTAL FUNCTIONS : Investigation of properties of rational, irrational, trigonometric, inverse trigonometric, exponential, loga 4. Week LIMIT OF FUNCTION: Definition of limit, right and left-hand limit, fundamental theorems about limits, some special and trigonometric limits 5. Week CONTINUITY AND DISCONTINUITY OF FUNCTIONS: Definition of continuity, fundamental properties of continuous functions, discontinuities and its types 6. Week CONCEPT OF DIFFERENTIATION : Definition and presence, rules of differentiation, differentiation of composite and inverse functions, differentiation of 7. Week Differentiation of exponential, logarithmic, hyperbolic and inverse hyperbolic functions, differentiation of closed and parametric functions, higher 8. Week MIDTERM I 9. Week APPLICATION OF DIFFERENTIATION: Geometrical interpretation of differentiaition and its application, absolute and local extremums, maxima and minima, 10. Week Rolle’s theorem and mean value theorems, uncertainties , elimination of uncertainties by using l`Hospital rule, asymptotes of an arc 11. Week GRAPHIC DRAWING: Graphs of rational, irrational, exponential, logarithmic, trigonometric, hyperbolic and parametric functions 12. Week INDEFINITE INTEGRAL: Differentiation of a function, definition of indefinite integral, properties, basic integration formulas 13. Week MIDTERM II 14. Week METHODS OF COMPUTING INTEGRAL: Integration by substitution, parts, partial fractions, integral of trigonometric and hyperbolic functions. 15. Week METHODS OF COMPUTING INTEGRAL:integral of trigonometric and hyperbolic functions. 16. Week Final