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FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES

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FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES /
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MAT1009Mathematics-I4+2+0ECTS:6
Year / SemesterFall Semester
Level of CourseFirst Cycle
Status Compulsory
DepartmentDEPARTMENT of STATISTICS and COMPUTER SCIENCES
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 4 hours of lectures and 2 hours of practicals per week
LecturerDoç. Dr. Pembe İPEK AL
Co-LecturerAssist. Prof. Hüsnü Anıl ÇOBAN
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
This course aims to teach the basic mathematical techniques, introducing mathematical skills to analyzes problems. With many examples of math emphasis is on the practical usability.
 
Learning OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
LO - 1 : learn the concepts of limit and continuity of functions
LO - 2 : learn the concepts of derivatives of functions
LO - 3 : learn the concepts of integral of functions
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome

 
Contents of the Course
Functions (polynomials, rational, trigonometric, hyperbolic, exponential, logarithmic and inverse trigonometric functions) graphs of basic functions, shifting and scaling graphs, limit, continuity, differentiation and applications (Intermediate Value Theorem, L'hopital's rule, Mean Value Theorem, Optimization problems, sketching the graph of a function), integration techniques
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Definition of function, Introduction to function types, Summation, subtraction etc. properties of functions,
 Week 2Graphs of basic functions and shifting graphs, Inverse functions
 Week 3Trigonometric functions, Inverse trigonometric functions
 Week 4Logarithmic, exponential and hyperbolic functions
 Week 5Limit, limit computation rules. Formal definition of limit One-sided limits
 Week 6Continuity, properties of continuous functions, Intermediate Value Theorem Limits at infinity and infinite limits, asymptotes of graphs
 Week 7Derivative of a function, geometrical meaning of derivative, Differentiation rules, Derivatives of trigonometric functions, inverse trigonometric functions, logarithmic and exponential functions
 Week 8Chain rule, Implicit differentiation Higher order derivatives L?hospital?s rule
 Week 9Mid-term
 Week 10Applications of differentiation (maximum-minimum and Mean Value Theorem) First and second derivative tests
 Week 11Sketching the graph of a function by analyzing changes.
 Week 12Optimization problems
 Week 13Indefinite integrals (Anti-derivatives) Methods of integration (change of variables, integration by parts)
 Week 14Partial fractions, Integrals of trigonometric (rational) functions.
 Week 15Elimination of incomplete parts, general assessment
 Week 16End-of-term exam
 
Textbook / Material
1Thomas, G.B., Finney, R.L. 2001; Calculus ve Analitik Geometri (çeviri), Cilt 1, Beta Yayınları.
2Thomas, G.B., Finney, R.L. 2001; Calculus ve Analitik Geometri (çeviri), Cilt 1, Beta Yayınları.
 
Recommended Reading
1Balcı, M. 2009; Genel Matematik 1, Balcı Yayınları, Ankara.
2Balcı, M. 2009; Genel Matematik 1, Balcı Yayınları, Ankara.
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 11/2021 1 50
End-of-term exam 16 01/2022 1 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 4 14 56
Sınıf dışı çalışma 5 14 70
Arasınav için hazırlık 10 1 10
Arasınav 1 1 1
Uygulama 2 14 28
Dönem sonu sınavı için hazırlık 14 1 14
Dönem sonu sınavı 1 1 1
Total work load180