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Course Description Course Name : Engineering Mathematics Course Code : TYP202 Course Type : Compulsory Level of Course : First Cycle Year of Study : 2 Course Semester : Spring (16 Weeks) ECTS : 5 Name of Lecturer(s) : Prof.Dr. MAHMUT ÇETİN Learning Outcomes of the Course : 1. Gains the capability to define engineering problems. 2. Develops analitical thinking capability and gains synthesising ability 3. Formulates the problem mathematically. 4.Analyses alternative solving techmniques and chooses the optimal solution. 5. Evaluates a solution obtained; compares the solution by making synthesis and makes the necessary corrections. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To teach students the ways of solving real life engineering problems; to deepen knowledge of the students in order to gain the capability of analitical thinking of Course Contents : Matrix algebra, solving systems of linear equations, numerical integration, numerical root finding,series approximation Language of Instruction : Turkish Work Place : Class   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Introduction to matrix algebra: Some fundemental definitions, notations, vectors Sections from different chapters relevant to the subject Narration and exemplifications 2 Unit matrix, scalar matrix; addition, scalar multiplication and transposition Sections from different chapters relevant to the subject Narration and exemplifications 3 Inverse and traspose of square matrices; elemanter row and column operations Sections from different chapters relevant to the subject Narration and exemplifications 4 Determinants of square matrices Sections from different chapters relevant to the subject Narration and exemplifications 5 Systems of linear equations Sections from different chapters relevant to the subject Narration and exemplifications 6 Definition of rank; solving linear equations with matrix algebra Sections from different chapters relevant to the subject Narration and exemplifications 7 Characteristic polinomials; Eigenvalues and eigenvectors Sections from different chapters relevant to the subject Narration and exemplifications 8 Enterpolation and approximation Sections from different chapters relevant to the subject Narration and exemplifications 9 Evaluation of experimental data and conventional functions Sections from different chapters relevant to the subject Narration and exemplifications 10 Mid-term exam Study all the relevant subjects for mid-term exam Mid-term exam 11 Introduction to series: Taylor and Maclaurin series Sections from different chapters relevant to the subject Narration and exemplifications 12 The Maclaurin series of a function Sections from different chapters relevant to the subject Narration and exemplifications 13 Numerical integration: Trapezoidal and Simpson´s rules Sections from different chapters relevant to the subject Narration and exemplifications 14 Numerical integration: Trapezoidal and Simpson´s rules continued Sections from different chapters relevant to the subject Narration and exemplifications 15 Root-finding algorithm: Newton´s method Sections from different chapters relevant to the subject Narration and exemplifications 16/17 Final exam Study all the relevant subjects for final exam Final exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)          Spiegel, M., 1967. Applied differential Equations. Second Edition, Prentice-Hall, Inc., USA, 412 p.  Turcak, L.I.,1987. Numerical Methods. Nauka, Moskowa, 318 p.  Chapra, S. C., R. P., Conale, 1998. Numerical Methods for Engineers with Programming and Software. McGraw-Hill International Editions, 924 p.  Goldstein, L. J., Lay, D. C., Schneider, D. I., 1996. Calculus and Its Applications. Prentice-Hall International Editions, 795 p.  Hoffman, J. D., 1993. Numerical Methods for Engineers and Scientists. McGraw-Hill International Editions, 825 p.  James, G., Searl, J., Wright, J., 1996. Modern Engineering Mathematics. Addison-Wesley Publishing Company, 954 p.  Jeffrey, A., 1995. Essentials of Engineering Mathematics: Worked Examples and Problems. Chapman and Hall, Inc., 825 p.  KREYSZIG, E., KREYSZIG, H., NORMINTON, E. J., 2011. ADVANCED ENGINEERING MATHEMATICS. JOHN WILEY & SONS, INC., pp. 1283, http://www.wiley.com/college/kreyszig Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 90     Homeworks/Projects/Others 4 10 Total 100 Rate of Semester/Year Assessments to Success 40   Final Assessments 100 Rate of Final Assessments to Success 60 Total 100   Contribution of the Course to Key Learning Outcomes # Key Learning Outcome Contribution* 1 Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks. 2 2 Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties 4 3 Developes and implements strategies for wastewater, drainage water, runoff water such as treated waste water re-use of non-conventional water without adversely affecting the environment, makes laboratory analysis about saline alkali soils and water suitability to irrigation and reports. 2 4 Prepares project about soil and water structures, animal houses, storage structures and crop production structures. Analyzes in terms of static and strength. Determines the properties of materials used in construction and makes the relevant tests. 3 5 Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report. 3 6 Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report 3 7 Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project. 4 8 Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management. 5 9 Works independently and takes responsibility 4 10 Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production. 2 11 Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports 2 12 Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects. 2 13 Creates effective solutions for sustainable agricultural production 4 14 Developes projects to protect natural resources like water,and offers the benefit to society, using the information of basic engineering, basic agricultural engineering and agricultural structures and irrigation engineering . 4 15 Has the ability to analyze problems ,make decisions and solve about professional subjects 5 * Contribution levels are between 0 (not) and 5 (maximum).   Student Workload - ECTS Works Number Time (Hour) Total Workload (Hour) Course Related Works     Class Time (Exam weeks are excluded) 14 3 42     Out of Class Study (Preliminary Work, Practice) 14 3 42 Assesment Related Works     Homeworks, Projects, Others 4 4 16     Mid-term Exams (Written, Oral, etc.) 1 10 10     Final Exam 1 10 10 Total Workload: 120 Total Workload / 25 (h): 4.8 ECTS Credit: 5