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
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 defined and indefinite integrals of the some special functions.
 -- MODE OF DELIVERY
  The type 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,
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
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
4
56
 Weekly Tutorial Hours
0
0
 Reading Tasks
11
4
44
 Searching in Internet and Library
11
2
22
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
1
24
24
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
158
 TOTAL WORKLOAD / 25: 
6.32
 Course Credit (ECTS): 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Capability of obtaining adequate knowledge in mathematics, science and engineering subjects in the automotive field; applying theoretical and practical knowledge for modeling and solving engineering problems in this field.X
2Capability of formulation and solving engineering problems; for this purpose selecting and appliying the appropriate analysis and modeling methods.X
3Capability of evaluation of engine and vehicle design projects, designing any engine and vehicle parts, to bring prototype and series production stage.X
4Capability of design of complex systems for specific needs, component or process in whole or in part.X
5Capability of development of modern methods and tools necessary for engineering applications, selection and effective use and to use of information technologies effectively.X
6Capability of analysis of the engineering problems and for the solution designing and performing experiments, collecting data, analyzing and interpretting the results.X
7Capability of work in team and individual and ability to work effectively with other disciplines.X
8Capability of effective communication both verbal and written in Turkish and at least one foreign language konwledgeX
9Capability of access to information in the framework of lifelong learning, to follow the developments in science and technology and self-improvement.X
10Resposibility of professional and ethical liability.X
11Awareness of leadership, entrepreneurship, innovation and sustainable development in business life.
12Being competent in the engineering applications, legislations, legal consequences and in the field of occupational health and safety.
13Capability of research and application in the subjects of noise, environment and emissions.
14Capability of making education in the field.
 -- NAME OF LECTURER(S)
   ( Mathematics Department Teaching Members)
 -- WEB SITE(S) OF LECTURER(S)
   (http://matematik.gazi.edu.tr/posts/view/title/akademik-kadro-16156?siteUri=matematik)
 -- EMAIL(S) OF LECTURER(S)
   (fefmatematik@gazi.edu.tr)