| Course Name | Calculus II |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| MATH 110 | Spring | 2 | 2 | 3 | 6 |
| Prerequisites |
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| 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 | The major objective of this course is to give the student substantial experience in modeling and solving realworld problems by using derivative, integration and series |
| Learning Outcomes | The students who succeeded in this course;
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| Course Description | Areas as limits of sums, Riemann sums, definite and indefinite integrals, improper integrals, integration techniques, volumes of solids, arc length and surface area. |
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| Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 1 | The inverse trigonometric functions. Hyperbolic functions | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 3.5-3.7 |
| 2 | More Applications of differentiation. Finding roots of equations. Newton’s method | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 4.2-4.3 |
| 3 | Extreme values. The first derivative test. The second derivative test. Sketching graph of the functions | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 4.4 |
| 4 | Linear approximations and error analysis. Taylor polynomial | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 4.9 |
| 5 | Sums and sigma notations. Areas as limit of sums | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.1-5.2 |
| 6 | The definite integral. General Riemann sums. Properties of Definite integrals | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.3, 5.4 |
| 7 | The Mean value theorem for integrals. The fundamental theorem of the calculus, The method of substitution | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.5, 5.6 |
| 8 | Midterm Exam | |
| 9 | Areas of plane regions. Techniques of integration-1 | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.7, 6.1 |
| 10 | Areas of plane regions. Techniques of integration-2 | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.7, 6.1 |
| 11 | Techniques of integration-continuation. Integration by parts. Integrals of rational functions | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter . 6.1, 6.2 |
| 12 | The inverse substitution. The inverse trigonometric substitution | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 6.3 |
| 13 | Improper integrals of type I and type II. Estimating convergence and divergence | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 6.5 |
| 14 | Approximate integration. The trapezoid and midpoint rules,Simpson’s rule | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 6.6,6.7 |
| 15 | Semester review | |
| 16 | Final exam |
| Course Notes/Textbooks | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: 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 | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| Midterm | 1 | 40 |
| Final Exam | 1 | 60 |
| Total |
| Weighting of Semester Activities on the Final Grade | 1 | 40 |
| Weighting of End-of-Semester Activities on the Final Grade | 1 | 60 |
| 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 | |||
| Portfolio | |||
| Homework / Assignments | |||
| Presentation / Jury | |||
| Project | |||
| Seminar / Workshop | |||
| Oral Exam | |||
| Midterms | 1 | 34 | |
| Final Exams | 1 | 40 | |
| 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
