CALCULUS-I

Course Description

Calculus-I provides the methods of differential and integral calculus with applications in geometry, physics and engineering. Students in this course will learn how to use mathematical language needed for applying the concepts of calculus to numerous applications in science and engineering such as identifying types of functions, graph of functions, evaluating limit of functions, limit of elementary functions (polynomial, trigonometric, logarithmic, exponential,…), methods to solve the undefined limits (L’Hopitals Rule), continuous functions, evaluate derivative of functions, definition of derivative, derivative of elementary functions, derivative of product of two functions and division of functions, applications of derivative, evaluate integrals of functions, definition of the integral, integral of elementary functions, substitution method, integration by parts, integral of rational functions, application of the integral (finding the area) .

CALCULUS-I

Evaluation Tools (Active Term)

Course outcomes

1. 01 Identify types of functions.
2. 02 Calculate limits of functions.
3. 03 Differentiate functions.
4. 04 Draw the graph of a function.
5. 05 Evaluate integrals of functions.
6. 06 Use concepts of limit, derivative and integral in solving fundamental engineering problems.

Course Syllabus

Reference Books & Course Materials

1. 01 Calculus Early Transcendental Functions, Robert T. Smith, Roland B. Mintin, 4th Edition, McGraw-Hill, ISBN 978-0-07-131656-9
2. 02 Thomas' Calculus Early Transcendentals, George B. Thomas, M. D. Weir, J. Hass, F. R. Giordano, 12th Edition , Pearson.
3. 03 Genel matematik 1, Prof dr. İbrahim Ethem Anar, Gazi Kitabevi,2013
4. 04 Analiz 1, Prof. Dr. Mustafa Balcı, Balcı Yayınları.

Learning Outcomes

1. L01 Identify types of functions.
2. L02 Calculate limits of functions.
3. L03 Differentiate functions.
4. L04 Draw the graph of a function.
5. L05 Evaluate integrals of functions.
6. L06 Use concepts of limit, derivative and integral in solving fundamental engineering problems.

Program Outcomes

1. P01 Should have sufficient knowledge in mathematics, science, and subjects specific to the relevant engineering discipline.
2. P02 Should have the ability to use theoretical and applied knowledge in mathematics, science, and related engineering disciplines in complex engineering problems.
3. P03 Should have the ability to detect, define, formulate, and solve complex engineering problems.
4. P04 Should have the ability to select and apply appropriate analysis and modeling methods to solve complex engineering problems.
5. P05 Should have the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions.
6. P06 Should have the ability to apply modern design methods.
7. P07 Should have the ability to develop, select, and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
8. P08 Should have the ability to use information technologies effectively.
9. P09 Should have the ability to design experiments, for the study of complex problems or discipline-specific research topics.
10. P10 Should have the ability to conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research topics.
11. P11 Should have the ability to work in intradisciplinary teams.
12. P12 Should have the ability to work in interdisciplinary teams.
13. P13 Should have the skills to work individually.
14. P14 Should have the ability to communicate effectively verbally and in writing.
15. P15 Should have the knowledge of at least one foreign language.
16. P16 Should be able to write effective reports, understand written reports, and prepare design and production reports.
17. P17 Should have the ability to make effective presentations.
18. P18 Should have the ability to give and have clear and understandable instructions.
19. P19 Should gain consciousness (awareness) about the necessity of lifelong learning.
20. P20 Should have the ability to access information.
21. P21 Should have the ability to follow developments in science and technology and constantly renew himself/herself.
22. P22 Should gain the awareness of professional and ethical responsibility and should act in accordance with ethical principles.
23. P23 Should gain knowledge about the standards used in engineering applications.
24. P24 Should gain knowledge about project management, risk management, and change management practices in business life.
25. P25 Should gain awareness about entrepreneurship, and innovation.
26. P26 Should gain knowledge about development in sustainability.
27. P27 Should gain knowledge about the effects of engineering practices on health, environment, and security at universal and social dimensions and the problems of the age reflected in the field of engineering.
28. P28 Awareness should be gained about the legal consequences of engineering solutions.

Po-Lo Matrix