# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS-I/MAT-101
 Course Title: MATHEMATICS-I Credits 4 ECTS 6 Course Semester 1 Type of The Course Compulsory
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
Turkish
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
Be able to understand definition of functionthe fundamental function.
Learns to get the limits of the functions.
Uses the properties of the continuous functions.
Explains the concepts of derivation.
Compares the physical and geometric means of the derivation.
Explains to draw the graph of curves.
Recognizes the concept of indefinite integral. Identifies the properties of the Riemann integral.
Identifies the improper integral.
Studies the concepts of the sequences and series.

-- MODE OF DELIVERY
The mode of delivery of this course is face to face.
 --WEEKLY SCHEDULE 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 Midterm exam, Application of Differentiation: Geometrical interpretation of differentiaition, absolute and local extremums, maxima and minima problems. 9. Week Physical interpretation of differentiaition, concavity Rolle’s theorem and mean value theorems. Elimination of uncertainties by using l`Hospital rule, asymptotes of an curve. 10. Week Graphic Drawing: Graphs of rational, irrational, exponenetial, logarithmic, trigonometric, hyperbolic and parametric functions. 11. Week The Definition of Riemann Integrals and their properties 12. Week Indefinite Integral : Differentiation of a function, definition of indefinite integral, propereties, basic integration formulas. 13. Week Methods of Computing Integral : Integration by substitution, parts. 14. Week Integral of Partial fractions, trigonometric and hyperbolic functions, integration by some special substitution. 15. Week 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 60 Assignment 0 0 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 60 Percentage of Final Exam to Total Score 40