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 PO1: To identify and use theoretical and applied knowledge as well as up-to-date/cutting edge laboratory techniques and analyses methods in the field of molecular biology and genetics.
2. P02 PO2: To identify problems related to molecular biology and genetics.
3. P03 PO3: To design and conduct experiments through hypothesis driven scientific research; and to analyze and interpret data to find solutions to molecular biology and genetics related problems.
4. P04 PO4: To work independently and as part of research group in a multidisciplinary team setting
5. P05 PO5: To apply the principles of scientific research ethics and academic integrity
6. P06 PO6: To interpret, explain and present primary scientific literature and novel findings in oral, written and visual presentation formats
7. P07 PO7: To evaluate experimental data and theoretical findings by using critical and analytical thinking techniques.
8. P08 PO8: To use the currently acceptable process of preparing research proposals and manuscripts for publishing in scientific journals.
9. P09 PO9: To apply the principles of molecular biology and genetics in generating/finding solutions to social problems / issues.
10. P10 PO10: To identify and implement environmental and laboratory safety procedures.
11. P11 PO11: To identify and apply the necessary professional skill set in projects and jobs involving independent and competitive careers in academia, industrial, medical or clinical research, science education, scientific writing and communication, health care, health care policy and civil service.

Po-Lo Matrix