BAYBURT University Information Package / Course Catalogue

Home Information on the Institution Information on Degree Programmes General Information for Students
Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
F109ALGeneral Mathematics-ICompulsory115
Level of Course Unit
First Cycle
Objectives of the Course
Acknowledging the numerical systems and induction principle. Examining uni variable and real valued functions, interpreting their graphics, reinforcing limit, continuity and absolute value concepts and making applications and interpretations, transferring the knowledge in this course to others, building an infrastructure for mathematics course.
Name of Lecturer(s)
Yrd. Doç. Dr. Gül KALELİ YILMAZ
Learning Outcomes
1Learn real numbers and their properties
2Comprehend the relation between square root and absolute value.
3Make proof by induction.
4Learn real variable and real valued functions in general and acknowledge trigonometric and inverse trigonometric, exponential and logarithmic functions.
5 Learn to calculate limit and continuity.
6Learn definition of derivation and obtaining the derivative of a function using this definition
7Calculate the derivatives of the functions which they have learned previously
Mode of Delivery
Normal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Numbers, numerical systems and their properties, induction principle, range and absolute value, relation, paired relations, Cartesian product, Definition of relation, Properties of relation, Inverse Relation, equivalence relation, Order relation, Functions: Definition and properties of function, Types of functions, Inverse function, Compound function, Trigonometric functions, Exponential functions, Logarithmic functions, Inverse trigonometric functions, Special functions, Limit: Limit of a variable, Limit of functions, Limit of trigonometric functions, Continuity: Definition of continuity, Limit from the left and Limit from the right, Properties of continuity functions, Types of continuity, Derivative: Definition of derivative, Geometrical interpretation of derivative, Rules of Derivation, Higher order derivatives.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Numbers, numerical systems and their properties, induction principle, range and absolute value, relation, paired relations
2Cartesian product, Definition of relation, Properties of relation, Inverse Relation, equivalence relation, Order relation
3Functions: Definition and properties of function, Types of functions, Inverse function, Compound function.
4Trigonometric functions and Inverse trigonometric functions Üstel fonksiyonlar ve logaritmik fonksiyonlar.
5Exponential functions and Logarithmic functions
6Special functions.
7Limit: Limit of a variable, Limit of functions.
8Limit of trigonometric functions.
9Mid-term exam
10Limit of the uncertainty condition..
11Continuity: Definition of continuity, Limit from the left and Limit from the right, Properties of continuity functions, types of discontinuity.
12Derivative: Definition of derivative, Geometrical interpretation of derivative
13Rules of Derivation.
14Rules of Derivation.
15Higher order derivatives
16End-of-term exam
Recommended or Required Reading
Textbook: Çinar, C., 2013. Genel Matematik, Dizgi Ofset, Konya, Recommended Reading: Aktaş, M. 2010. Genel Matematik 1, Pegem Akademi, Ankara, Balcı, M., 2000. Genel Matematik I, Balcı Yayınları, Ankara.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
English
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Attending Lectures14456
Self Study14342
Individual Study for Mid term Examination2714
Individual Study for Final Examination5735
Reading133
TOTAL WORKLOAD (hours)153
Contribution of Learning Outcomes to Programme Outcomes
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11		PO
12
LO122          
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LO7            
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High