Course Name Code Semester T+U Hours Credit ECTS
Mathematics I MAT 115 1 3 + 0 3 3
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Yrd.Doç.Dr. SERPİL HALICI
Course Lecturers
Course Assistants Research Assistants in mathematics department
Course Category
Course Objective To give fundamental conceptions of mathematical analysis and limit,continuity, derivative and applications of derivative in single-valued functions
Course Content Fundamental conceptions of mathematical analysis, set and number conceptions,functions and special functions,sequence of real numbers,convergence,upper nad lower limits,properties of continuous functions,derivative, higher order derivative,geometric and physical meaning of the derivative, theorems related with derivative,indefinite limits, drawing curves
# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/she defines the set and number conceptions Problem Solving, Question-Answer, Discussion, Drilland Practice, Lecture, Testing, Homework,
2 He/she recognizes functions and some special functions Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, Homework, Testing,
3 He/she expresses to take the limit at one point of functions Problem Solving, Question-Answer, Discussion, Lecture, Drilland Practice, Testing, Homework,
4 He/she interprets the sequence and properties of sequences Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, Homework, Testing,
5 He/she employs the properties of continuous functions Problem Solving, Question-Answer, Discussion, Drilland Practice, Lecture, Testing, Homework,
6 He/she explains the concept of derivative and applications of derivative Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, Homework, Testing,
7 He/she compares the geometric and physical meaning of the derivative Problem Solving, Question-Answer, Discussion, Lecture, Drilland Practice, Testing, Homework,
8 He/she interprets the theorems related with derivative Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, Homework, Testing,
9 He/she calculates indefinite limits Problem Solving, Question-Answer, Discussion, Lecture, Drilland Practice, Testing, Homework,
10 He/she explains drawing curves Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, Homework, Testing,
Week Course Topics Preliminary Preparation
1 Sets (operations of set, open sets,closed sets,limit points,etc.,)
2 Sets of numbers ( Natural numbers,Integers,Rational numbers,Real numbers and their properties.)
3 Conceptions of Supremum, infimum, limsup,liminf, induction, conceptions of functions
4 Some special functions and their properties
5 Sequence of real numbers,boundedness, convergence,Reel sayı dizileri, sınırlılık, yakınsaklık,Bolzano-Weierstrass theorem,monotonic sequences
6 Limit and continuity of Functions
7 Properties of continuous (theorems of continuity), uniform continuity
8 Derivative, Rules of derivative
9 Methods of derivative
10 The geometric and physical meaning of the derivative.Theorems related with the derivative
11 Theorems related with the derivative
12 To compute the indefinite limits
13 Differentials and draw the curves (Cartesian coordinates)
14 To draw the curves ( Polar Coordinates)
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Students gain an advanced and contemporary knowledge and practical skill after general or vocational high school qualification. To obtain an ability to support his/her knowledge and practical skill with technical sources and equipments and to use basic and principle technical terminology of metal technologies. Student gain an insight to the subject to analyze, discuss, evaluate and bring about solutions for the problems in metal technologies and related teaching subjects. He/She gains an ability to solve problems in metal technologies using general and foundational since and knowledge. X
2 Student can gather and use data to solve well defined problems on metal technology subjects. He/She can efficiently use his or her practical and knowledge skills in practical applications. Students know general definitions of engineering drawing subject; he/she can read engineering drawings in metal technologies and also can design using computer programs. Students are familiar to measuring equipments used in metal technologies he/she has knowledge and practice to use and maintenance of measuring equipments. X
3 Students know manufacturing processes in metal technologies sectors and can offer improvements when needed. He/she has knowledge of quality control processes and has practical skill to use quality control in metal manufacturing processes. X
4 To gain theoretical and practical skills in joining of metallic materials, implementing quality control in welded structures and to give training on these subjects. X
5 To obtain an adequate theoretical knowledge and practical skills on oxy-gas, electric arc welding and brazing techniques and to use these techniques in teaching and training in vocational schools. Tracing any faults of welding machines and providing for necessary maintenance and repairing. X
6 Students have an adequate knowledge to offer solution for problems arising during welding of ferrous or non-ferrous materials and also provide suitable methods for welding.
7 Students gain skills for technical communication and team work with his/her colloquies and superior on subjects related to his/her teachings such as design and practice. He/she has an ability to use Turkish language effectively in his/her personal or official communication. He/She has skill to represent his company/institution, sharing technical and intuitional information in electronic environment by oral or written communication.
8 Gaining ability to self learning and also implementing his/her learning. To gain skill to conduct research on his/her subject personally and present results as technical reports. Monitoring new improvements and updating him/herself continuously and also updating and upgrading these improvements to his/her institution.
9 Having use of foreign languages can make communication and follow up new technologies in metal technologies
10 Having adequate computing skill to use wordprocessing, internet communication, CAD programs such as autocad, solidworks etc.
11 Having an adequate knowledge of health and safety in metal work sectors and also knowledge of social security, ethic values, quality assurance systems, management and environment.
12 Being aware of Atatürk’s principles and his revolutions.
13 Students have enough theoretical and practical knowledge of teaching on metal technology subjects.
14 Having ability to evaluate student’s progress and activities, he/she also provide for an environment to evaluate students each other. He/she can use and share the results obtained from evaluations to make improvements in teaching and training activities.
15 Having ability to self evaluate him/her self to make progress and improvements. Being open minded to ideas and improvements he/she supports him/her self and institutions. He/she has knowledge of law, regulation and policy related to his/her job and obeys all the rules accordingly. He/she has a respect and awareness of the environment and the society.
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
1. Ödev 10
2. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 4 4
Quiz 2 3 6
Assignment 1 3 3
Final examination 1 10 10
Total Workload 87
Total Workload / 25 (Hours) 3.48
dersAKTSKredisi 3