Civil Engineering (English)  
Bachelor  TRNQFHE: Level 6  QFEHEA: First Cycle  EQFLLL: Level 6 
Course Code:  MATH113  
Course Name:  Mathematics I  
Course Semester:  Spring  
Course Credits: 


Language of instruction:  EN  
Course Requisites:  
Does the Course Require Work Experience?:  No  
Type of course:  
Course Level: 


Mode of Delivery:  Face to face  
Course Coordinator :  Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR  
Course Lecturer(s): 
Dr.Öğr.Üyesi ASUMAN ÖZER Prof. Dr. VASFİ ELDEM Prof. Dr. SEZGİN SEZER Prof. Dr. HASAN ÖZEKES 

Course Assistants: 
Course Objectives:  The aim of this course is to teach the basic definitions and theorems of the limits, limit rules, continuity, derivatives, differentiation rules, chain rule, closed derivatives, maximumminimum problems, curve drawing, applied optimization problems, integrals, Riemann sums, definite integrals, curves, transcendental functions and to gain the ability to solve the related problems. 
Course Content:  This course will investigate limits, rules of limits, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, maximumminimum problems, curve sketching, applied optimization problems, integration, Riemann sums, definite integrals, area between curves, volumes of revolution, transcendental functions. 
The students who have succeeded in this course;

Week  Subject  Related Preparation 
1)  Functions  Lecture Notes 
2)  Limits and Continuity  Lecture Notes 
3)  Limits and Continuity  Lecture Notes 
4)  Differentiation  Lecture Notes 
5)  Differentiation  Lecture Notes 
6)  Differentiation  Lecture Notes 
7)  Applications of Derivatives  Lecture Notes 
8)  Applications of Derivatives  Lecture Notes 
9)  
10)  Integration  Lecture Notes 
11)  Integration  Lecture notes 
12)  Applications of Definite Integrals  Lecture Notes 
13)  Transcendental Functions  Lecture Notes 
14)  Transcendental Functions  Lecture Notes 
Course Notes / Textbooks:  Thomas’ Calculus, 13th Edition in SI Units George B. Thomas, Maurice D. Weir, Joel R. Hass Pearson Education Inc. 
References:  A Complete Course Calculus, 8th Edition. Robert A. Adams, Christopher Essex Pearson Canada Inc. ISBN 978: 0321781079 
Learning Outcomes  1 
2 
3 
4 
5 
6 


Program Outcomes  
1) Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.  
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.  
3) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)  
4) Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.  
5) Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.  
6) Ability to work efficiently in intradisciplinary and multidisciplinary teams; ability to work individually.  
7) Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.  
8) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.  
9) Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.  
10) Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.  
11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. 
No Effect  1 Lowest  2 Low  3 Average  4 High  5 Highest 
Program Outcomes  Level of Contribution  
1)  Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.  5 
2)  Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.  
3)  Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)  
4)  Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.  
5)  Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.  
6)  Ability to work efficiently in intradisciplinary and multidisciplinary teams; ability to work individually.  
7)  Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.  
8)  Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.  
9)  Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.  
10)  Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.  
11)  Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. 
Lesson  
Reading  
Homework  
Problem Solving  
Q&A / Discussion 
Written Exam (Openended questions, multiple choice, truefalse, matching, fill in the blanks, sequencing)  
Homework 
Semester Requirements  Number of Activities  Level of Contribution 
Homework Assignments  6  % 20 
Midterms  2  % 40 
Final  1  % 40 
total  % 100  
PERCENTAGE OF SEMESTER WORK  % 60  
PERCENTAGE OF FINAL WORK  % 40  
total  % 100 
Activities  Number of Activities  Duration (Hours)  Workload 
Course Hours  15  5  75 
Study Hours Out of Class  12  1  12 
Homework Assignments  7  7  49 
Midterms  2  11  22 
Final  1  22  22 
Total Workload  180 