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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | EM105B | Mathematics I | Compulsory | 1 | 1 | 5 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | Students teach basic mathematical techniques to analyze problems to introduce the necessary math skills and practice of Mathematics with the problems of many example emphasis. | | Name of Lecturer(s) | | Öğr. Gör. D.r Ramazan ŞİMŞEK | | Learning Outcomes | | 1 | Classify the functions and properties of numbers can grasp | | 2 | Even the concept of limit and continuity of functions. | | 3 | Even the concept of the derivative functions. | | 4 | You can make a variety of derivative applications, can apply to engineering problems | | 5 | Even the concept of integral functions. | | 6 | The antiderivative of can various applications, you can apply to engineering problems. | | 7 | Sequences and series in a variety of applications. | | 8 | You can open the functions Taylor and Maclauren series. | | 9 | |
| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Functions, inverse functions, simple curve shifting of graphs drawing, graphics. Trigonometric functions, inverse trigonometric functions, logarithmic and exponential functions. Limit, limit calculation rules, continuity. Derivative of a function, differentiation rules, the geometric meaning of the derivative, trigonometric functions, inverse trigonometric functions, logarithmic and exponential functions are derivatives. Higher order derivatives, chain rule, the derivative of the function off, the concept of derivative applications and differential. L 'hospital's rule, infinity limit average value concept, Role and Theorems, higher order functions. Sunday change of concept, functions can be determined by examining the graphs. Indefinite integrals. Integral calculation methods: changing a variable, partial integration, polynomials, algebraic and trigonometric integrals of functions (rational). Definite integrals and Riemann sums, features, fundamental theorem of analysis. The variable transformation in definite integrals. Integrals in particular applications. | | Weekly Detailed Course Contents | |
| 1 | Functions, Inverse Functions, Simple Trends Charts, The Graphs Knife Guard Has Handles | | | | 2 | Trigonometric functions, inverse trigonometric Functions, logarithmic and exponential functions
| | | | 3 | Limit, Limit Calculation Rules, Continuity
| | | | 4 | Derivative of a function, the derivative is the geometric meaning, Differentiation Rules, Trigonometric, inverse trigonometric, logarithmic, and Exponential derivatives of
| | | | 5 | High-order Derivatives, the chain rule, the derivative of the function Off, applications of derivatives and Differential concept.
| | | | 6 | L 'hospital's rule, the average value Concept, Role and descended, Limit Theorems, Functions Ekstremumlar
| | | | 7 | Kellie Garry Concept, Functions By Examining Its Charts Drawing Exchange
| | | | 8 | Midterms
| | | | 9 | Indefinite Integrals
| | | | 10 | Integral Calculation Methods: changing a variable, Partial integration, Polynomials, Algebraic and trigonometric Integrals of functions (Rational)
| | | | 11 | Riemann Sums, Integrals and Specific Properties, fundamental theorem of Analysis
| | | | 12 | İntegrallerde Variable Transformation Specific
| | | | 13 | Springs, Planar Zones of certain Integrals Applications length of the Rotational Field: the strenght of volume and surface areas, Mass, Center of gravity, Momentum and business account Account
| | | | 14 | Springs, Planar Zones of certain Integrals Applications length of the Rotational Field: the strenght of volume and surface areas, Mass, Center of gravity, Momentum and business account Account
| | | | 15 | Sequences, Series, Was the series, force Series, stands for the series of functions, (Taylor and Maclaurın Series)
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| | Recommended or Required Reading | | B M, B C, 1982. Technical Drawing, Faculty Of Technical Education Press, Ankara, Turkey.
G M, Atalla N. Technical Drawing, Birsen Yayinevi, Istanbul.
Karp Y, 1998. Applied Technical Drawing, Peace Publications, Faculties Bookstore, Izmir.
Abdulla G, A R, 2010. Drawing Basics and applications, Superior publishing, Ankara.
Helsel j., 1992. Engineering Drawing and Design, McGraw-Hill International Editions, Singapore. | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 4 | 56 | | Self Study | 14 | 4 | 56 | | Individual Study for Mid term Examination | 1 | 15 | 15 | | Individual Study for Final Examination | 1 | 12 | 12 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | | | | | | | 4 | 1 | | LO2 | | | | | | | 2 | 1 | | LO3 | | | | | | | 2 | 2 | | LO4 | | | | | | | 2 | 2 | | LO5 | | | | | | | 1 | 3 | | LO6 | | | | | | | 3 | 2 | | LO7 | | | | | | | 3 | 3 | | LO8 | | | | | | | 1 | 1 | | LO9 | | | | | | | | |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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