Course Detail
Course Detail
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| CALCULUS I | IND1210745 | Spring Semester | 4+0 | 4 | 6 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | English |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Özge BİÇER ÖDEMİŞ |
| Name of Lecturer(s) | Assist.Prof. Özge BİÇER ÖDEMİŞ |
| Assistant(s) | |
| Aim | To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering. |
| Course Content | This course contains; Functions (General Review),Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration-Techniques of Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals. |
| Course Learning Outcomes | Teaching Methods | Assessment Methods |
| 1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically | 12, 14, 6, 9 | A, E |
| 2. Apply the notions of continuity and differentiability to algebraic and transcendental functions. | 12, 14, 6, 9 | A, E |
| 3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing. | 12, 14, 6, 9 | A, E |
| 4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals. | 12, 14, 6, 9 | A, E |
| 5. Use integration to compute area between curves and volume of a solid. | 12, 14, 6, 9 | A, E |
| 6. Calculate and compare the concept of proper and improper integrals. | 12, 14, 6, 9 | A, E |
| Teaching Methods: | 12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Functions (General Review) | Book chapter 1.1, 1.2, 1.5, 1.6 |
| 2 | Limits and Continuity | Book chapter 2.1, 2.2, 2.3, 2.4 |
| 3 | Limits and Continuity | Book chapter 2.5, 2.6 |
| 4 | Derivatives | Book chapter 3.1, 3.2, 3.3, 3.4 |
| 5 | Derivatives | Book chapter 3.5, 3.6, 3.7, 3.8,11.2 |
| 6 | Applications of Derivatives | Book chapter 4.1, 4.2, 4.3, 4.4 |
| 7 | Applications of Derivatives | Book chapter 4.4, 4.5 |
| 8 | Applications of Derivatives | Book chapter 3.10, 4.6 |
| 9 | Integration | Book chapter 5.1, 5.2, 5.3, 5.4 |
| 10 | Integration-Techniques of Integration | Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5 |
| 11 | Applications of Definite Integrals | Book chapter 5.6, 6.1 |
| 12 | Applications of Definite Integrals | Book chapter 6.2, 6.3 |
| 13 | Transcendental Functions | Book chapter 7.1, 7.2 |
| 14 | Improper Integrals | Book chapter 8.8 |
| Resources |
| Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems. | X | |||||
| 2 | Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | X | |||||
| 3 | Ability to design a complex system, process, 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. | X | |||||
| 4 | Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | ||||||
| 5 | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | ||||||
| 6 | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||
| 7 | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | ||||||
| 8 | Awareness 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 | Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||
| 10 | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | ||||||
| 11 | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 30 | |
| Rate of Final Exam to Success | 70 | |
| Total | 100 | |
| ECTS / Workload Table | ||||||
| Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
| Course Hours | 14 | 4 | 56 | |||
| Guided Problem Solving | 14 | 2 | 28 | |||
| Resolution of Homework Problems and Submission as a Report | 0 | 0 | 0 | |||
| Term Project | 0 | 0 | 0 | |||
| Presentation of Project / Seminar | 0 | 0 | 0 | |||
| Quiz | 0 | 0 | 0 | |||
| Midterm Exam | 14 | 3 | 42 | |||
| General Exam | 14 | 4 | 56 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 182 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(182/30) | 6 | |||||
| ECTS of the course: 30 hours of work is counted as 1 ECTS credit. | ||||||
Detail Informations of the Course
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| CALCULUS I | IND1210745 | Spring Semester | 4+0 | 4 | 6 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | English |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Özge BİÇER ÖDEMİŞ |
| Name of Lecturer(s) | Assist.Prof. Özge BİÇER ÖDEMİŞ |
| Assistant(s) | |
| Aim | To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering. |
| Course Content | This course contains; Functions (General Review),Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration-Techniques of Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals. |
| Course Learning Outcomes | Teaching Methods | Assessment Methods |
| 1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically | 12, 14, 6, 9 | A, E |
| 2. Apply the notions of continuity and differentiability to algebraic and transcendental functions. | 12, 14, 6, 9 | A, E |
| 3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing. | 12, 14, 6, 9 | A, E |
| 4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals. | 12, 14, 6, 9 | A, E |
| 5. Use integration to compute area between curves and volume of a solid. | 12, 14, 6, 9 | A, E |
| 6. Calculate and compare the concept of proper and improper integrals. | 12, 14, 6, 9 | A, E |
| Teaching Methods: | 12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Functions (General Review) | Book chapter 1.1, 1.2, 1.5, 1.6 |
| 2 | Limits and Continuity | Book chapter 2.1, 2.2, 2.3, 2.4 |
| 3 | Limits and Continuity | Book chapter 2.5, 2.6 |
| 4 | Derivatives | Book chapter 3.1, 3.2, 3.3, 3.4 |
| 5 | Derivatives | Book chapter 3.5, 3.6, 3.7, 3.8,11.2 |
| 6 | Applications of Derivatives | Book chapter 4.1, 4.2, 4.3, 4.4 |
| 7 | Applications of Derivatives | Book chapter 4.4, 4.5 |
| 8 | Applications of Derivatives | Book chapter 3.10, 4.6 |
| 9 | Integration | Book chapter 5.1, 5.2, 5.3, 5.4 |
| 10 | Integration-Techniques of Integration | Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5 |
| 11 | Applications of Definite Integrals | Book chapter 5.6, 6.1 |
| 12 | Applications of Definite Integrals | Book chapter 6.2, 6.3 |
| 13 | Transcendental Functions | Book chapter 7.1, 7.2 |
| 14 | Improper Integrals | Book chapter 8.8 |
| Resources |
| Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems. | X | |||||
| 2 | Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | X | |||||
| 3 | Ability to design a complex system, process, 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. | X | |||||
| 4 | Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | ||||||
| 5 | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | ||||||
| 6 | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||
| 7 | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | ||||||
| 8 | Awareness 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 | Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||
| 10 | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | ||||||
| 11 | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 30 | |
| Rate of Final Exam to Success | 70 | |
| Total | 100 | |