# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 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
English
-- NAME OF LECTURER(S)
-- WEB SITE(S) OF LECTURER(S)

-- EMAIL(S) OF LECTURER(S)

-- LEARNING OUTCOMES OF THE COURSE UNIT
Students can know definiton of functions and some special functions.
Students can calculate limit of function and some special trigonometric limits.
Students can take the derivative of function.
Students can solve problems of absolute and local extremums, maxima and minima.
Students can take undefined integrals of the some special 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, Real numbers, intervals, inequalities, neighbourhoods, coordinates 2. Week Functions : Definition function, definition and image of sets, injections, surjections and inverse functions, combinations of functions. 3. Week Special Functions : Definitions of rational, irrational, trigonometric, inverse trigonometric, exponenetial, logarithmic and hyperbolic functions. 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 of Functions : Definition of continuity, fundamental properties of continuous funcitons, discontinuties and its types 6. Week Concept of derivative :Definition and presence, rules of derivative, derivative of composite, inverse,and trigonometric functions. 7. Week Differentiation of exponenetial, logarithmic, hyperbolic and inverse hyperbolic functions, closed and parametric functions, higher order derivatives. 8. Week Application of Differentiation : Geometrical interpretation of differentiaition, absolute and local extremums, maxima and minima problems. 9. Week Midterm exam. 10. Week Physical interpretation of differentiaition, concavity Rolle’s theorem and mean value theorems. 11. Week Elimination of uncertainties by using l`Hospital rule, asymptotes of an curve. 12. Week Graphic Drawing : Graphs of rational, irrational, exponenetial, logarithmic, trigonometric, hyperbolic and parametric functions. 13. Week Indefinite Integral : Differentiation of a function, definition of indefinite integral, propereties, basic integration formulas. 14. Week Methods of Computing Integral : Integration by substitution, parts. 15. Week Partial fractions, integral of trigonometric and hyperbolic functions, integration by some special substitution. 16. Week Final exam
-- RECOMMENDED OR REQUIRED READING
1- Genel Matematik, Prof. Dr. Mustafa Balcı 2- Thomas Calculus, George B. Thomas, Maurice D. Weir, Joel R. Hass
-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture, Question & Answer, Demonstration, Drill - Practise
-- WORK PLACEMENT(S)
-
-- ASSESSMENT METHODS AND CRITERIA
 Quantity Percentage Mid-terms 1 0 Assignment 0 0 Exercises 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Contribution of In-term Studies to Overall Grade 60 Contribution of Final Examination to Overall Grade 40