Course Information
Course Title Code Semester T + P ECTS
Mathematics I (Physics) MAT183 1 4 + 0 6

Prerequisites None

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assist.Prof. MELİH GÖCEN
Instructors Assist.Prof. MUSTAFA YILDIZ, Assist.Prof. SEDAT ÇEVİKEL, Assist.Prof. YÜKSEL SOYKAN, Assoc.Prof. TÜLİN COŞKUN, Assoc.Prof. YUSUF KAYA, Assist.Prof. CAN MURAT DİKMEN, Assist.Prof. SEYHUN KESİM, Assoc.Prof. GÜLNİHAL MERAL, Assist.Prof. MELİH GÖCEN, Assist.Prof. FİKRET GÖLGELEYEN, Assist.Prof. ZEKERİYA USTAOĞLU
Goals To introduce the number sets and functions, to investigate limit and continuity of functions, to introduce derivative and methods of taking derivatives, to show the application areas of derivative, to sketch graph of functions with the help of its derivative.
Contents Numbers, Lines, Circles and Parabolas, Functions and their Graphics, Trigonometric Functions, Limit and Limit Rules, Continuity,Derivative and Rules of Differentiation,Chain Rule and Parametric Equations, Derivative of Trigonometric Functions, Inverse Functions and their Derivatives, Derivative of Logarithmic and Exponential Functions, Implicit Differentiation, Monotone functions and First Derivative Test, Extreme Values of Functions, Theorems Related with Differentiable Functions, Concavity, Sketching the Graph of a Function, Indeterminant Forms and L'Hopital Rule, Differentials
Work Placement(s) Absent

Number Learning Outcomes
1 He/she knows the number sets and functions.
2 He/she can investigate limit and continuity of functions.
3 He/she knows differentiation and differentiation rules.
4 He/she can use derivative in different application areas.
5 He/she can sketch the graph of a function with the help of its derivative.

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lecture, question and answer, discussion, problem solving.
Assessment Methods Midterm exam, homework, final exam.



Course Content
Week Topics Study Materials
1 Numbers, Lines, Circles and Parabolas. He/She must read the topics which will be discussed in this week from the course material.
2 Functions and their graphics, Trigonometric functions. He/She must review the topics which was discussed previous week and must solve exercises about these topics.
3 Limit He/She must revise the topics till this week.
4 Limit Rules He/She must read the topics which will be discussed in this week from the course material.
5 Limit (continued), Continuity He/She must solve exercises about finding a limit of a function.
6 Derivative He/She must revise the topics which was discussed previous week.
7 Rules of Differentiation He/She must read the topics which will be discussed in this week from the course material.
8 Chain Rule, Parametric Equations He/She must solve exercises about the topics which was discussed previous week.
9 Midterm Exam He/She must revise all topics in details for mid-term exam and must solve many problems about topics.
10 Derivative of Trigonometric Functions, Derivative of Inverse Functions He/She must read the topics which will be discussed in this week from the course material.
11 Derivative of Logarithmic and Exponential Functions, Implicit Differentiation He/She must revise the topics which was discussed previous week.
12 Monotonic Functions and First Derivative Test, Extreme Values of Functions He/She must read the topics which will be discussed in this week from the course material.
13 Theorems Related with Differentiable Functions, Concavity, Sketching Graphs of Functions He/She must solve exercises about the topics which was discussed previous week.
14 Sketching Graphs of Functions (continued), Indeterminant Forms, L'Hopital Rule, Differentials He/She must revise the topics which was discussed previous week.
15 Final exam He/She must revise all topics along the term in details and must solve many problems about topics



Sources
Textbook Thomas GB. Jr. , Weir M. D., Hass J., Calculus 1, (Çeviri: Recep Korkmaz, English edition published by Addison Wesley, 2005) , Beta Basım A.Ş., İstanbul, 2009.
Additional Resources 1.Stewart J., Calculus (Diferensiyel ve İntegral hesap), TÜBA, Ankara, 2007. 2. Balcı, M. Genel Matematik, Balcı Yayınları, Ankara, 2008. 3. Kadıoğlu, E, Kamali, M., Genel Matematik, Erzurum, 2005. 4. Adams R. A., Calculus: a complete course, Addison Wesley Longman, Toronto,2003.



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 80
Quizzes 2 20
In-Term Total 3 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Has textbooks containing current information, application tools and equipment , and advanced theoretical and practical knowledge supported by other resources in a scientific approach.
2 Adapts and transfers the acquired knowledge to secondary education.
3 Uses advanced institutional and practical knowledge acquired in the physics field.
4 Updates the information on daily conditions.
5 Comments on and evaluate the data by using advanced knowledge and skills acquired in the field, identifies and analyzes the current problems of technological developments, and comes up with solutions based on research and evidence.
6 Has the ability to conceptualize the events and facts related with the field; analyze them with scientific methods and techniques.
7 Designs and performs experiments to analyze the problems, collects data, performs analyzes and comment on the results.
8 Carries out an advanced study related to the field independently.
9 Takes on responsibility individually and as a team member in order to solve unpredictable and complex problems encountered in applications related to the field.
10 Plans and manages the activities in a project under his responsibility for development. x
11 Plays a role in the process of decision making when faced with problems about different discipline fields. x
12 Uses time effectively in the process of inference with the ability of thinking analytically. x
13 Evaluates the advanced knowledge and skills acquired in the field with a critical perspective. x
14 Determines the learning requirements and leads the learning process. x
15 Develops a positive attitude towards lifelong learning. x
16 Is aware of the necessity of lifelong learning and develops his Professional knowledge and skills continuously. x
17 Informs people and organizations about the topics related to their fields; expresses his ideas and suggestions for solutions to problems in both oral and written form.
18 Shares his ideas and suggestions for solutions to the problems with experts and non-experts by supporting them with quantitative and qualitative data.
19 Organizes projects and activities for social environment he lives in with an awareness of social responsibility. x
20 Follows advances in the field and communicate with colleagues by using a foreign language at least at B1 level of European Language Portfolio. x
21 Uses information and communication technology along with software the Human Sciences the field requires at an advanced level.
22 Uses his knowledge of human health and environmental awareness acquired in their fields for society’s ends.
23 Behaves in a way adhering to the social, scientific, cultural and ethical values in the process of data collection, commenting, application, publicizing the results related with the field.
24 Has a sufficient level of awareness about the universality of social rights, social justice, quality management, acting in a suitable way in processes and attendance (Instead of quality culture) the protection of cultural values, protection of the environment and health and security in the professional field.



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 4 56
Hours for off-the-classroom study (Pre-study, practice) 14 4 56
Assignments 2 2 4
Mid-terms 1 20 20
Final examination 1 35 35
Total Work Load (h) 171
Total Work Load / 30 (h) 5.7
ECTS Credit of the Course 6