Course Title Code Semester L+P Hour Credits ECTS
Mathematics I TEP   107 1 2 2 3

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 Assoc.Prof.Dr. Dilek KAHYALAR
Doç. Dr.DİLEK KAHYALAR1. Öğretim Grup:A
To enable students to understand basic properties of limit, continuity and derivative and use them in drawing the graphs of functions, making about accountability, and solving problems.
Sets and number sets, Functions, Limits, derivative and rule of derivative, Drawing graph of functions.

Learning Outcomes
1) Can define and express the properties of the limit.
2) Defines and refers to the continuity of some of the theorems
3) Solves problems by using some of the features of continuous functions.
4) Defines and calculates derivative.
5) Makes approximate calculations of some certain numbers with the help of some derivatives
6) Finds the maximum and minimum of functions with one variable and draws their graphs.
7) Solves practical problems.
8) Finds the limits through L Hospital rule.

Course's Contribution To Program
NoProgram Learning OutcomesContribution
is be able to explain and apply basic theories related to major science and engineering courses in order to form a foundation which enables him/her to understand advanced level subjects related to his/her profession
is able to describe, intorduce and evaluate crop and animal production techniques, tools and equipment used in this area and explain role, importance and development of agriculture in national and world economy
is able to describe characteristics and interrelations of all stages from production to consumption in agricultural sector; is able to describe basic concepts related to efficienct and sustianable use of resources; is able to explain and apply basic econ
is able to explain concepts, thought, theory and methods related to major economic, social, natural, cultural, institutional, organizational and legal factors affecting activities in agricultural sector and rural areas, also national and international for
is able to apply basic principles of economics to the problemes encountered in agricultural sector
is able to show and express economic and social data to be used in agricultural decision making process in tables, graphs and mathematical symbols
is able to apply ecosystem, biodiversity, sustainable resource management, rural development, planning and technology use related knowledge to crop and animal production and marketing processes
determines required data related to the analysis of problems encountered in agricultural sector, critically examines and uses those data, selects a proper frame, model and method for the analysis, and evaluates results of the analysis
uses basic information technologies in the analysis of economic and social data and uses software prepared for this purpose and interpretes results
is able to carry studies related to his/her field independently and according to the legal procedures; is able to give consultancy, supervising, and expertise services in those fields; is able to join to team works
is able to get access to actual and updated information in the field; is able to inquire knowledge obtained and use them for public benefit according to the purpose selected
is able to communicate with sepacialist and non-specialist people both in verbal and written form; is able to select most appropriate communications methods; is able to develop cooperation with stakeholders on producer and organization basis
acquires general and professional foreign language command at a sufficient level to observe professional developments and communicate with colleagues;is able to use information and communication technologies
is able to identify problems that can be encountered in agricultural sector; determines their context, evaluates effects of solutions, projects and policies applied in this context, produces solutions, projects and policy alternatives, foresees possible
is able to describe historical development of the profession, ethical principles obligatory during the performance of the profession and to be consicous of meticulous application of these principles

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Numbers. Rational and real numbers. Ranking. 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 The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. Review of the relevant pages from sources
9 Written exam 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 Rolle s 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. Graphic design. Review of the relevant pages from sources
13 Maximum and minimum problems. 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 Review and Problem Solving

Recommended or Required Reading
Additional Resources