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| MAT1011 | Mathematics - I | 4+0+0 | ECTS:5 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of CIVIL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Erhan COŞKUN | | Co-Lecturer | Other lecturers assigned for the course. | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The course aims to teach basic mathematical tools and techniques for engineering students. The applications are chosen from student's area of expertise so that theory and applications can be combined to have a meaningful outcome. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | clasify numbers and understand functions and their properties | 1,3 | | | LO - 2 : | learn the concepts of limit and continuity of functions | 1,2,4 | | | LO - 3 : | learn the concepts of derivatives of functions | 1,2,4 | | | LO - 4 : | apply the derivative to some engineering problems | 1,2,4 | | | LO - 5 : | learn the concepts of integral of functions | 1,2,4 | | | LO - 6 : | apply the integration to some engineering problems and carry out some applications
| 1,2,4 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Preview (real numbers, real line, cartesian coordinates, polynomials, rational functions, trigonometric functions and their graphs), limit, continuity, aradeğer teoremi, türev, ortalama değer deoremi, transcentendal functions, application of derivatives, definite and indefinite integrals, rules of integration, applications of definite integrals
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real numbers, real line, cartesian coordinate systems, functions and graphs of elementary functions. | | | Week 2 | Arithmetic operations in functions, composite and piecewise functions, polynomial, rational and trigonometric functions. | | | Week 3 | Trigonometric functions, velocity, limit with examples of rate of growth and area, limits at infinity and infinite limits. | | | Week 4 | Continuity, tangent lines and slopes, derivative | | | Week 5 | Rules of differentiation, chain rule, derivative of trigonometric functions, | | | Week 6 | Mean value theorem, increasing and decreasing functions, derivative of functions in implicit form, inverse functions | | | Week 7 | Exponential and logarithmic functons, inverse trigonometric functions,hyperbolic functiions | | | Week 8 | Related rates, indefinite forms, L'Hopital rule, extremum values | | | Week 9 | Midterm exam | | | Week 10 | Concavity, drawing graphs of functions, optimization problems | | | Week 11 | Definite integral, properties of definite integral | | | Week 12 | Main theorem of calculus, intgegration by substitution, integration by parts | | | Week 13 | Integration of rational functions, integration by trigonometric substitution | | | Week 14 | Applications of integrals(area) | | | Week 15 | Applications of integrals(volume) | | | Week 16 | Final exam | | | |
| 1 | Tohomas, George B.,Thomas Kalkülüs, 1.Cilt 12.Baskıdan Çeviri( Mustafa Bayram), Pearson. | | | 2 | Dennis G. Zill, Warren S. Wright, Matematik Cilt I(Calculus, Early Transcendentals), 2013, Nobel Yayınevi(Çeviri Ed. İsmail Naci Cangül) | | | |
| 1 | Robert. A. Adams, Christopher. Essex: Kalkülüs Eksiksiz Bir Ders Cilt I (Calculus a Complete Course 7. Baskıdan çeviri), Palme Yayıncılık, Ankara, 2012 (Çevirenler: Prof. Dr. Mehmet Terziler, Yrd. Doç. Dr. Tahsin Öner) | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | | | | | | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Arasınav için hazırlık | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Kısa sınav | .5 | 4 | 2 | | Dönem sonu sınavı için hazırlık | 15 | 1 | 15 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 157 |
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