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, evaluating 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. SOLO 0
2. L02 Calculate limits of functions. SOLO 0
3. L03 Differentiate functions. SOLO 0
4. L04 Draw the graph of a function. SOLO 0
5. L05 Evaluate integrals of functions. SOLO 0
6. L06 Use concepts of limit, derivative and integral in solving fundamental engineering problems. SOLO 0

Program Outcomes

1. P01 Create a user interface in a contemporary object-oriented language to allow users to access business data
2. P02 Identify and analyze user needs and take them into account in the selection, creation, integration, evaluation and administration of computing-based systems
3. P03 Analyze common business functions and identify, design, and develop appropriate information technology solutions
4. P04 Design and develop software solutions for contemporary business environments by employing appropriate problem-solving strategies
5. P05 Configure and administer database server to support contemporary business environments.
6. P06 Administer or mange a relational database for a small to medium size company
7. P07 Be able to effectively integrate IT-based solutions into the user environment
8. P08 Understand professional, ethical, legal, security and social issues and responsibilities
9. P09 Be able to apply effective communication skills consistent with the professional environment
10. P10 Be able to apply effective collaboration skills in teamwork consistent with the professional environment

Po-Lo Matrix