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 Other
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 To evaluate technical concept by using scientific methods, to definite technical problems and to analysis them, to develop solutions related with investigation and proof in Construction Technologies. X
2 To give knowledge and methods of the solutions to the qualified or unqualified groups about the technological subjects of and methods o X
3 In Construction Technologies to develop design projects and to achieve its skills and ability, reading the projects done before and to control them
4 To realize and perform experimental and field studies and to control of them in the Construction Technologies.
5 To achieve and develop of skills about the techniques of wall, frame work, insulation, steel plate and to control of them done before in Construction Technologies.
6 To find out the land for applying of the construction systems, to measurement and
7 To know the process of the applying of constructions systems and to achieve enough knowledge and ability in order to repair or mended of the construction equipments
8 To know foreign language in order to communicate other colleagues in the Construction Technologies.
9 To achieve and learn enough knowledge about work safety , occupational health, social safety and environmental parameters in the Construction Technologies.
10 To be enterprising, competitor, organizer and social in the Construction Technologies.
11 X
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