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
 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
1Having a sufficient substructure concerning basic mathematics as well as natural and applied sciences, also having the competence in use of theoretical knowledge along with application experiences in engineering solutionsX
2Equipped with determination, formulation and solution skills of complex engineering problems, and having the ability to select and apply appropriate analysis and modeling methodsX
3Ability to design a complex system, process, equipment or product meeting certain needs under realistic limitations and conditions. In this way, having the skill to use modern designing methods (realistic limitations and conditions include subjects such as economics, environmental conditions, sustainability, productivity, ethics, health, security, social and political problems)X
4Having the ability to develop, select and use of modern methods and tools, talented to use of informatics technologies effectivelyX
5Having the ability to design an experimental setup, carry out experiments, acquire data, analyze and interpret the outcomesX
6Having the ability to study in interdisciplinary and multidisciplinary teams effectively and talented to carry out individual studiesX
7Having the ability in written and oral Turkish communication and use of a foreign language (at least)X
8Awareness of the necessity of lifelong learning, having the ability to access knowledge, following developments in science and technology and renewing himself/herselfX
9Awareness of professional and ethical responsibilitiesX
10Having informed of applications in professional life including project and amendment management, awareness of entrepreneurship, reformism and sustainable developmentX
11Information regarding the universal and social effects of engineering applications on health, environment and security as well as problems of era; awareness of legal results of engineering solutions
12Possessing administrative skills
 -- 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)