Course Detail
Course Description
Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|
CALCULUS I | BME1110745 | Fall Semester | 4+0 | 4 | 6 |
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) | Prof.Dr. Afgan ASLAN, Assist.Prof. Mohamed Khaled Mohamed Ismaıl KHALIFA |
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,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals. |
Dersin Öğrenme Kazanımları | 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 | Book chapter 1.1, 1.2, 1.4, 1.5 |
2 | Functions | Book chapter 1.3, 1.6, 11.1,11.2 |
3 | Limits and Continuity | Book chapter 2.1, 2.2, 2.3, 2.4 |
4 | Limits and Continuity | Book chapter 2.5, 2.6 |
5 | Derivatives | Book chapter 3.2, 3.3, 3.4 |
6 | Derivatives | Book chapter 3.5, 3.6, 3.7, 11.2 |
7 | Applications of Derivatives | Book chapter 4.1, 4.2, 4.3, 4.4 |
8 | Applications of Derivatives | Book chapter 3.11, 4.4, 4.5 |
9 | Integration | Book chapter 5.1, 5.2, 5.3, 5.4 |
10 | 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 | An ability to apply knowledge of mathematics, science, and engineering | | | | | X |
2 | An ability to identify, formulate, and solve engineering problems | | | | | X |
3 | An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | | | | | |
4 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | | | | X | |
5 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | | | | | |
6 | An ability to function on multidisciplinary teams | | | | | X |
7 | An ability to communicate effectively | | | | | X |
8 | A recognition of the need for, and an ability to engage in life-long learning | | | | | |
9 | An understanding of professional and ethical responsibility | | | | | |
10 | A knowledge of contemporary issues | | | | | |
11 | The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context | | | | | |
12 | Capability to apply and decide on engineering principals while understanding and rehabilitating the human body | | | | | |
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 | BME1110745 | Fall Semester | 4+0 | 4 | 6 |
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) | Prof.Dr. Afgan ASLAN, Assist.Prof. Mohamed Khaled Mohamed Ismaıl KHALIFA |
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,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals. |
Dersin Öğrenme Kazanımları | 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 | Book chapter 1.1, 1.2, 1.4, 1.5 |
2 | Functions | Book chapter 1.3, 1.6, 11.1,11.2 |
3 | Limits and Continuity | Book chapter 2.1, 2.2, 2.3, 2.4 |
4 | Limits and Continuity | Book chapter 2.5, 2.6 |
5 | Derivatives | Book chapter 3.2, 3.3, 3.4 |
6 | Derivatives | Book chapter 3.5, 3.6, 3.7, 11.2 |
7 | Applications of Derivatives | Book chapter 4.1, 4.2, 4.3, 4.4 |
8 | Applications of Derivatives | Book chapter 3.11, 4.4, 4.5 |
9 | Integration | Book chapter 5.1, 5.2, 5.3, 5.4 |
10 | 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 | An ability to apply knowledge of mathematics, science, and engineering | | | | | X |
2 | An ability to identify, formulate, and solve engineering problems | | | | | X |
3 | An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | | | | | |
4 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | | | | X | |
5 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | | | | | |
6 | An ability to function on multidisciplinary teams | | | | | X |
7 | An ability to communicate effectively | | | | | X |
8 | A recognition of the need for, and an ability to engage in life-long learning | | | | | |
9 | An understanding of professional and ethical responsibility | | | | | |
10 | A knowledge of contemporary issues | | | | | |
11 | The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context | | | | | |
12 | Capability to apply and decide on engineering principals while understanding and rehabilitating the human body | | | | | |
Assessment Methods
Contribution Level | Absolute Evaluation |
Rate of Midterm Exam to Success | | 30 |
Rate of Final Exam to Success | | 70 |
Total | | 100 |
Numerical Data
Ekleme Tarihi: 09/10/2023 - 10:40Son Güncelleme Tarihi: 09/10/2023 - 10:41
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