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 Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes X
2 Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals
3 Having the latest knowledge and skills for theoretical and practical applications of vehicle systems
4 Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware
5 Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems
6 Having the latest knowledge in Science and Engineering X
7 Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency
8 Having foreign language skills and knowledge for making tasks related to his/her proficiency
9 Having the latest knowledge and skills for making design and research projects in his/her area X
10 Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency
11 Having the latest knowledge and skills for performing tasks in teaching and education in his/her area
12 Having necessary knowledge for performing tasks in the automobile industry
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