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.
Comments on the special 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
 -- 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
0
 Reading Tasks
11
4
44
 Searching in Internet and Library
11
2
22
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
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
0
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
1Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems.X
2An ability to identify, formulate, and solve complex engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose.X
3An 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 analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively.X
5Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics.X
6Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills.X
7Ability to communicate effectively in oral and written Turkish; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills.X
8Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself.X
9To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications.X
10Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development.X
11Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions.X
 -- 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)