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
  Turkish
 -- NAME OF LECTURER(S)
  Head of Department
 -- 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
 -- RECOMMENDED OR REQUIRED READING
  • Matematik Analiz ve Analitik Geometri, Edwards& Penney, Çeviri Editörü Prof.Dr. Ömer Akın • Genel Matematik, Prof. Dr. Mustafa Balcı • Calculus, Robert Ellis-Denny Gulick
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
2
60
 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
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
4
56
 Practising Hours of Course Per Week
0
 Reading
14
2
28
 Searching in Internet and Library
14
2
28
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
10
10
 Other
5
2
10
 TOTAL WORKLOAD: 
142
 TOTAL WORKLOAD / 25: 
5.68
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.X
2Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.X
4Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies
5Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
6Ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence
8Ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign language
9Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology
10Engineering graduates with well-structured responsibilities in profession and ethics
11Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
12Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity