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Course Name 
Calculus I

Code

Semester

Theory
(hour/week) 
Application/Lab
(hour/week) 
Local Credits

ECTS

MATH 153

Fall

2

2

3

6

Prerequisites 
None


Course Language 
English


Course Type 
Required


Course Level 
First Cycle


Course Coordinator  
Course Lecturer(s)  
Assistant(s) 
Course Objectives  This course aims to built fundamentals of calculus and its applications for engineers 
Learning Outcomes 
The students who succeeded in this course;

Course Content  Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics. 

Core Courses  
Major Area Courses  
Supportive Courses  
Media and Management Skills Courses  
Transferable Skill Courses 
Week  Subjects  Related Preparation 
1  Limits of Functions, Limits at Infinity and Infinite Limits, Continuity.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 1.1, 1.2, 1.3, 1.4. 
2  Tangent Lines and Their Slopes, The Derivative, Differentiation Rules, The Chain Rule  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 2.1, 2.2, 2.3, 2.4. 
3  Derivatives of Trigonometric Functions, HigherOrder Derivatives  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 2.5, 2.8. 
4  The MeanValue Theorem, Implicit Differentiation  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 2.9, 2.10. 
5  Inverse Functions, Exponential and Logarithmic Functions, The Natural Logarithm and Exponential.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 3.1, 3.2, 3.3. 
6  The Inverse Trigonometric Functions, Related Rates  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 3.5, 4.1, 4.3. 
7  Indeterminate Forms, Extreme Values, Concavity and Inflections, Sketching the Graph of a Function  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.4, 4.5. 
8  Concavity and Inflections, Sketching the Graph of a Function ,  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.6 
9  Extreme Value Problems , Midterm Exam  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.8 
10  The Definite Integral, Properties of the Definite Integral.The Fundamental Theorem of Calculus.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. , 5.3, 5.4.5,5. 
11  The Method of Substitution. Areas of Plane Regions.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.6, 5.7. 
12  Integration by Parts, Inverse Substitutions  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.1, 6.3. 
13  Integrals of Rational Functions, Improper Integrals.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.2, 6.5. 
14  Volumes by Slicing, Solids of Revolution.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.1. 
15  Arc Length, Review of the semester  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.3. 
16  Review of the semester 
Course Textbooks  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition 
References  James Stewart, Calculus, Early Transcendentals 7E 
Semester Requirements  Number  Percentage 
Participation  
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques 
4

20

Homework / Assignments 
8

10

Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
1

30

Final / Oral Exam 
1

40

Total 
Contribution of Semester Work to Final Grade  13 
60 
Contribution of Final Work to Final Grade  1 
40 
Total 
Activities  Number  Duration (Hours)  Workload 

Course Hours Including exam week: 16 x total hours 
16

4

64

Laboratory / Application Hours Including exam week: 16 x total hours 
16


Study Hours Out of Class 
16

4


Field Work  
Quizzes / Studio Critiques 
4

2


Homework / Assignments 
8

1


Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
1

10


Final / Oral Exam 
1

20


Total 
174

#

Program Qualifications / Outcomes 
* Level of Contribution


1 
2 
3 
4 
5 

1  Adequate knowledge in Mathematics, Science and Civil Engineering; ability to use theoretical and applied information in these areas to model and solve Civil Engineering problems  
2  Ability to identify, define, formulate, and solve complex Civil Engineering problems; ability to select and apply proper analysis and modeling methods for this purpose  
3  Ability to design a complex system, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose  
4  Ability to devise, select, and use modern techniques and tools needed for Civil Engineering practice  
5  Ability to design and conduct experiments, gather data, analyze and interpret results for investigating Civil Engineering problems  
6  Ability to work efficiently in Civil Engineering disciplinary and multidisciplinary teams; ability to work individually  
7  Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of two foreign languages  
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  Awareness of professional and ethical responsibility  
10  Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and 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 Civil Engineering solutions 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest