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)
  Head of Department
 -- 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
 -- 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
14
0
0
 Reading
14
2
28
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
14
0
0
 Preparing Reports
14
0
0
 Preparing Presentation
14
0
0
 Presentation
14
0
0
 Mid-Term and Studying for Mid-Term
2
20
40
 Final and Studying for Final
1
24
24
 Other
0
0
0
 TOTAL WORKLOAD: 
162
 TOTAL WORKLOAD / 25: 
6.48
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Have sufficient theoretical and practical background for a successful profession and application skills of fundamental scientific knowledge in the engineering practiceX
2Have skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Have 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
4Have the ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
5Have the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologiesX
6Have ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7Have abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidenceX
8Have motivation for life-long learning and having known significance of continuous education beyond undergraduate studies for science and technologyX
9Is aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
10Have the ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign languageX
11Have consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanityX
12well-structured responsibilities in profession and ethicsX