COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics 1 * CMZ   109 1 4 4 5

Prerequisites and co-requisites -
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Zerrin Gül ESMERLİGİL
Instructors
Prof.Dr.ALİ ARSLAN ÖZKURT1. Öğretim Grup:A
Prof.Dr.ALİ ARSLAN ÖZKURT2. Öğretim Grup:A
 
Assistants
Goals
Function, limit, continuity and derivative grasp the main features about drawing the graphs of these functions use the account making and problem solving. We also train the students to think analytically and to solve problems in the future issues with the methods of solution for the models.
Content
Functions, limits, continuity, derivatives, applications of derivatives.

Learning Outcomes
-


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Becomes equipped with adequate knowledge in mathematics, science, environment and engineering sciences
2
Becomes able to apply theoretical knowledge in mathematics, science, environment and engineering sciences
3
Determines, describes, formulates and gains capabilities in solving engineering problems
4
 Analyzes a system, components of the system or process, gains the designing capabilities of the system under the real restrictive conditions.
X
5
Chooses ans uses the ability to apply modern tools and design technics, suitable analytical methods, modeling technics for the engineering applications
X
6
 Designs and performs experiments, data collection, has the ability of analyzing results
7
Works individually and in inter-disciplinary teams effectively
8
Becomes able to reach knowledge and for this purpose does literature research and to uses data base and other information sources
X
9
 Becomes aware of the necessity of lifelong learning and continuously self renewal 
X
10
Capable of effective oral and written skills in at least one foreign language for technical or non-technical use
X
11
 Effective use of Information and communication technologies
12
 Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself accordingly. 
X
13
 Professional and ethical responsibility
14
 Project management, workplace practices, environmental and occupational safety; awareness about the legal implications of engineering applications
X
15
 Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation and to have idea of contemporary issues
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Numbers. Sayılar.Sıralama rational and real. Absolute value. Number axis. Spacing. Inequalities. Review of the relevant pages from sources
2 Functions. Finding Definition and Value Sets. Transactions related to the functions and function types. Review of the relevant pages from sources
3 Ascending, descending functions. Reverse function. Graphics. Off functions. Review of the relevant pages from sources
4 Trigonometric functions. Problem-solving. Review of the relevant pages from sources
5 Limit of functions of one variable. Properties of limits. One-sided limits. Review of the relevant pages from sources
6 Limits are endless. Limits at infinity. Continuity Review of the relevant pages from sources
7 Continuous functions from their properties. Problem-solving. Derivatives, slope of the tangent. Rules of differentiation. Review of the relevant pages from sources
8 mid-term exam. topics discussed in the lecture notes and sources again
9 The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. Review of the relevant pages from sources
10 The inverse trigonometric functions and their derivatives. Problem-solving. Review of the relevant pages from sources
11 Rolles Theorem, Mean Value Theorem. Maximum, minimum detection. 1 and 2 Derivative test. Review of the relevant pages from sources
12 The second derivative and convexity. Asymptotes. Graphical boot. Review of the relevant pages from sources
13 Maximum and minimum problems. Calculus and its applications. Exponential and logarithmic functions and their properties. Review of the relevant pages from sources
14 Exponential and logarithmic functions. Review of the relevant pages from sources
15 Uncertainties and L Hopital s rule. Review of the relevant pages from sources
16-17 Final exam. topics discussed in the lecture notes and sources again

Recommended or Required Reading
Textbook
Additional Resources