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. Demonstrate a thorough understanding of the theories, frameworks, and models in order to assess and comprehend the state of the art in data science.
2. Review the literature and apply data science theories and methodology in new research and experiments.
3. Analyze datasets using supervised and unsupervised machine learning techniques.
4. Design, develop and test statistics and informatics software systems for data management, analysis and problem solving.
5. Conceptualize and develop efficient visuals for a range of data types and analytical tasks, and carry out independent research on a range of theoretical and applied subjects in visualization and visual analytics.
6. Obtain a high level of proficiency in communication, problem solving, research or project-related activities and function effectively as a team member or a leader to accomplish a common goal in a multidisciplinary team.
7. Develop and implement optimal solutions to overcome challenges associated with managing large datasets by utilizing parallel methods, cloud computing, and non-relational data storage and retrieval (NoSQL).
8. Demonstrate an understanding of the interdisciplinary of data, information, and communications, as well as the ability to evaluate the leading research methods for data collection and analysis.
9. Demonstrate a deep understanding of the ethical issues surrounding the use of data and apply ethical decision making in real-world data-related applications.
10. Demonstrate capability of analyzing, synthesizing, and evaluating knowledge from a wide range of fields and be capable of lifelong self-directed learning.

Po-Lo Matrix