COURSE INTRODUCTION AND APPLICATION INFORMATION


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
Mode of Delivery -
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Lecturing / Presentation
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;
  • find limits of functions.
  • investigate continuity of functions.
  • compute derivatives of explicit and implicit functions.
  • solve related rates problems.
  • classify critical points of functions.
  • sketch graphs of functions.
  • solve extreme value problems.
  • compute areas of plane regions.
Course Description Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics.
Related Sustainable Development Goals

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
X
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Graphs of quadratic functions, Polynomials and rational functions, the trigonometric functions, examples of velocity, growth rate and area Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section P3, P6, P7, 1.1
2 Limits of Functions, limits at infinity and infinite limits Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 1.2, 1.3.
3 Continuity, tangent lines and their slopes Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 1.4, 2.1.
4 The derivative, differentiation rules, the chain rule, derivatives of trigonometric functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 2.2, 2.3,2.4, 2.5.
5 Higher-order derivatives, the mean value theorem Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 2.6, 2.8.
6 Implicit differentiation, inverse functions, Exponential and logarithmic functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 2.9, 3.1, 3.2
7 Midterm Exam
8 The natural logarithm and exponential. The inverse trigonometric functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 3.3,3.5
9 Related rates, indeterminate forms Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 4.1, 4.3.
10 Extreme values, concavity and inflections Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section4.4, 4.5
11 Sketching the graph of a function, extreme value problems Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 4.6, 4.8
12 Extreme value problems, properties of the definite integral. The fundamental theorem of calculus Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 4.8, 5.4.5,5
13 The method of substitution Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 5.6
14 The method of substitution, areas of plane regions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018). Section 5.6, 5.7
15 Semester Review
16 Final exam
Course Notes/Textbooks

Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson,  2018).

ISBN 978-0-13-415436-7

 

Suggested Readings/Materials

''Calculus, Early Transcendentals'',James Stewart, Cengage Learning; 7th edition, 2010.ISBN-13:978-0538497909

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
6
30
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
7
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
(Including exam week: 16 x total hours)
16
2
32
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
2
Study Hours Out of Class
14
3
42
Field Work
Quizzes / Studio Critiques
6
5
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
14
Final Exams
1
30
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems.

X
2

To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose.

3

To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. 

4

To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently.

5

To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas.

6

To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary teams; to be able to work individually.

7

To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively; to be able to give and receive clear and comprehensible instructions

8

To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions.

9

To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice.

10

To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language.

12

To be able to speak a second foreign at a medium level of fluency efficiently.

13

To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Industrial Engineering.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest