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 Be able to understand and apply security protocol and tools to security challenges faced in organizations
2. P02 Be able to design security software to combat security issues
3. P03 Be able to identify, categorize, and develop security solutions for computer orientated challenges.
4. P04 Be able to demonstrate autonomy and responsibility in managing computer security projects
5. P05 Be able to follow the state of the arts concepts in computer technology security
6. P06 Be able to design, implement, and evaluate a computational system to meet desired security needs within realistic constraints
7. P07 Be able to use appropriate security techniques, protocols, skills, and tools necessary for securing computer systems
8. P08 Be able to apply effective communication skills consistent with the professional environment
9. P09 Be able to apply effective collaboration skills in teamwork consistent with the professional environment
10. P10 Be able to apply appropriate security technology and techniques to facilitate a safe operation in an organization

Po-Lo Matrix