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 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  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
 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
1Basic Science, Basic Engineering and Energy Systems Engineering skills in the field of engineering related to the accumulation of knowledge and ability to apply this knowledge.X
2Ability to identify, define, formulate and solve complex engineering problems; Selecting and applying appropriate analysis and modeling methods for this purpose.X
3The ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; The ability to apply modern design methods for this purpose.X
4Ability to develop, select and use modern techniques and tools necessary for the applications of the Department of Energy Systems Engineering; The ability to use information technologies effectively.X
5Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examining problems related to Energy Systems Engineering.X
6Ability to work individually and in teams in the field of Energy Systems Engineering.X
7Effective communication and reporting skills in Turkish verbal and written, at least one foreign language knowledge.X
8Awareness of the necessity of life-long learning; Access to knowledge, ability to follow developments in science and technology, and constant self-renewal.X
9Professional and ethical responsibility.X
10Information on project management and practices in business life such as risk management and change management; Awareness of entrepreneurship, innovation and sustainable development.X
11Information on the effects of the applications of the Department of Energy Systems Engineering on health, energy, environment and safety in the universal and social dimensions and the problems of the age; Awareness of the legal consequences of Energy Systems Engineering solutions.X
 -- NAME OF LECTURER(S)
   (Department of Mathematics)
 -- WEB SITE(S) OF LECTURER(S)
   (http://matematik.gazi.edu.tr/)
 -- EMAIL(S) OF LECTURER(S)
   ( fefmatematik@gazi.edu.tr)