| Course Name | Calculus I |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| MATH 109 | 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 | ||||||
| Course Coordinator | - | |||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | This course aims to provide basic theory and applications of calculus and its extentions to mathematical analysis |
| Learning Outcomes | The students who succeeded in this course;
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| Course Description | Functions, limits and continuity, derivatives and its applications. extreme values, Intermediate Value Theorem, Rolle’s Theorem, The Mean Value Theorem and its applications, inverse functions and their derivatives, related rates problems. |
| Related Sustainable Development Goals | |
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| Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 1 | Functions and their graphs, polynomials and rational functions. | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section P4, P5, P6 |
| 2 | Trigonometric functions, average and instantaneous velocity, limits of functions | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section P7, 1.1, 1.2 |
| 3 | Limits of functions, limits at infinity and infinite limits | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 1.2, 1.3 |
| 4 | Continuity, the formal definition of derivative | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 1.4, 1.5 |
| 5 | Tangent lines and their slopes, the derivative | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 2.1, 2.2 |
| 6 | Differentiaon rules, the chain rule | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 2.3, 2.4, 2.5 |
| 7 | Derivatives of trigonometric functions | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Section 2.6, 2.8 |
| 8 | Higher order derivatives | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Section 2.9, 3.1, 3.2 |
| 9 | The Mean Value Theorem | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 3.3, 3.5. |
| 10 | Implicit differentiation | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Section 2.9. |
| 11 | The indefinite integrals | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 2.10. |
| 12 | Inverse functions, exponential and logarithmic functions | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367.Section 3.1, 3.3. |
| 13 | The natural and exponential logarithms, transcendental functions | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition, 2017. ISBN-13: 978-0134154367..Section 3.3. |
| 14 | The natural and exponential logarithms, transcendental functions | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition, 2017. ISBN-13: 978-0134154367.Section 3.3. |
| 15 | Review of the semester | |
| 16 | Final exam |
| Course Notes/Textbooks | Robert A.Adams & Christopher Essex ,"Calculus, A complete course" , Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. |
| Suggested Readings/Materials | "Thomas' Calculus" by Finney, Weir, Giordano, Publisher: Addison Wesley Longman; 10th edition, 2001. ISBN-13: 978-0201441413. |
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | 1 | 10 |
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| Midterm | 1 | 40 |
| Final Exam | 1 | 50 |
| Total |
| Weighting of Semester Activities on the Final Grade | 2 | 50 |
| Weighting of End-of-Semester Activities on the Final Grade | 1 | 50 |
| Total |
| 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 | 1 | 15 | |
| Portfolio | |||
| Homework / Assignments | |||
| Presentation / Jury | |||
| Project | |||
| Seminar / Workshop | |||
| Oral Exam | |||
| Midterms | 1 | 25 | |
| Final Exams | 1 | 34 | |
| Total | 180 |
| # | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
| 1 | To be able master and use fundamental phenomenological and applied physical laws and applications, | X | ||||
| 2 | To be able to identify the problems, analyze them and produce solutions based on scientific method, | X | ||||
| 3 | To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions, | X | ||||
| 4 | To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably, | |||||
| 5 | To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License, | |||||
| 6 | To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in, | |||||
| 7 | To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance, | |||||
| 8 | To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results, | |||||
| 9 | To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life, | |||||
| 10 | To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively. | |||||
| 11 | To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1). | |||||
| 12 | To be able to speak a second foreign at a medium level of fluency efficiently | |||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. | |||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
