BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
| CIVIL ENGINEERING | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
Ders Genel Tanıtım Bilgileri
| Course Code: | MAT1051 | ||||||||
| Ders İsmi: | Calculus I | ||||||||
| Ders Yarıyılı: | Fall | ||||||||
| Ders Kredileri: |
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| Language of instruction: | English | ||||||||
| Ders Koşulu: | |||||||||
| Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
| Type of course: | Must Course | ||||||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||||||
| Course Coordinator : | Instructor NERMINE AHMED EL SISSI | ||||||||
| Course Lecturer(s): | |||||||||
| Course Assistants: |
Dersin Amaç ve İçeriği
| Course Objectives: | The purpose of the course is to give to the student a mathematical understanding of relations, functions, limits, continuity and differentiation and thus provide the necessary background so that a rational approach to problem solving is attained. |
| Course Content: | Relations, functions, limits, continuity, differentiation, rules of differentiation, The chain rule and implicit differentiation. Derivatives of trigonometric, exponential, logarithmic, inverse trigonometric functions.Related rates, linearization and differentials, extreme values, the Mean Value theorem, curve sketching, applied optimization problems. Indeterminate forms and L'Hopital's rule. Newton's method and antiderivatives. |
Learning Outcomes
The students who have succeeded in this course;
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Ders Akış Planı
| Week | Subject | Related Preparation |
| 1) | Number systems and functions. | |
| 2) | Functions and their properties. | |
| 3) | Definition of limits and properties of limits. | |
| 4) | Undefined limits, horizontal and vertical asymptotes. Continuity. | |
| 5) | Definition of derivative. Tangents and derivative at a point. The derivative as a function. | |
| 6) | The derivative as a rate of change. Differentiation rules. | |
| 7) | Derivatives of functions. The chain rule and implicit differentiation. | |
| 8) | Derivatives of functions (cont'd). Approximations and differentials. | |
| 9) | Applications of the derivative. Related rate problems. | |
| 10) | Applications of differentiation (cont'd). The Mean value theorem, maximum, minimum values, increasing and decreasing functions, | |
| 11) | Curve sketching. | |
| 12) | Indeterminate forms and L'Hopital's rule. | |
| 13) | Optimization problems and Newton's method. | |
| 14) | Linearization of non linear functions |
Sources
| Course Notes / Textbooks: | Robert Adams, Christopher Essex, Calculus, Eight Edition, Pearson |
| References: | James Stewart Calculus, 5th Ed. Brooks/Cole Publishing Company C.H. Edwards,Jr. David E. Penney, Calculus with Analytic Geometry Richard Silverman, Calculus with Analytic Geometry, Prentice Hall |
Ders - Program Öğrenme Kazanım İlişkisi
| Ders Öğrenme Kazanımları | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Program Outcomes | ||||||||||
| 1) Adequate knowledge in mathematics, science and civil engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. | ||||||||||
| 2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | ||||||||||
| 3) Ability to design a complex system, process, structural and/or structural members to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | ||||||||||
| 4) Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in civil engineering applications; ability to use civil engineering technologies effectively. | ||||||||||
| 5) Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or civil engineering research topics. | ||||||||||
| 6) Ability to work effectively within and multi-disciplinary teams; individual study skills. | ||||||||||
| 7) Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing. | ||||||||||
| 8) Awareness of the necessity of lifelong learning; ability to access information to follow developments in civil engineering technology. | ||||||||||
| 9) To act in accordance with ethical principles, professional and ethical responsibility; having awareness of the importance of employee workplace health and safety. | ||||||||||
| 10) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | ||||||||||
| 11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of civil engineering solutions. | ||||||||||
Ders - Öğrenme Kazanımı İlişkisi
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Adequate knowledge in mathematics, science and civil engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 5 |
| 2) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | 2 |
| 3) | Ability to design a complex system, process, structural and/or structural members to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
| 4) | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in civil engineering applications; ability to use civil engineering technologies effectively. | |
| 5) | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or civil engineering research topics. | 3 |
| 6) | Ability to work effectively within and multi-disciplinary teams; individual study skills. | |
| 7) | Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing. | |
| 8) | Awareness of the necessity of lifelong learning; ability to access information to follow developments in civil engineering technology. | |
| 9) | To act in accordance with ethical principles, professional and ethical responsibility; having awareness of the importance of employee workplace health and safety. | |
| 10) | Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
| 11) | Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of civil engineering solutions. |
Öğrenme Etkinliği ve Öğretme Yöntemleri
Ölçme ve Değerlendirme Yöntemleri ve Kriterleri
Assessment & Grading
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 1 | % 40 |
| Final | 1 | % 60 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| Total | % 100 | |
İş Yükü ve AKTS Kredisi Hesaplaması
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Application | 14 | 2 | 28 |
| Study Hours Out of Class | 14 | 3 | 42 |
| Midterms | 1 | 28 | 28 |
| Final | 1 | 30 | 30 |
| Total Workload | 170 | ||