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
F110ALGeneral Mathematics IICompulsory125
Level of Course Unit
First Cycle
Objectives of the Course
Students will be able to analyze the change in functions benefiting from derivatives and being able to draw graphs. Student will conceptualize relationship between derivate and integral. Student will calculate different kind of indefinite integrals. Student will understand interpret concept Integral. Student will calculate length of arc, area, and volume etc by integral. Student will interpret the knowledge and transfer it at the another courses. Reinforcing the backgrounds of the students mathematics knowledge for other mathematics courses.
Name of Lecturer(s)
Prof. Dr. Rabil AYAZOĞLU
Learning Outcomes
1Solve the maximal and minimal definite problems.
2Analyse the functions by using derivate and draw graph..
3Calculate integration of a function
4Calculate length of arc of a curve, area and volume.
5Transfer the knowledge which is gathered from the course
Mode of Delivery
Normal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Applications of derivative; maxima and minimal definite problems, indeterminate exponential function, graphics, differential equation, differential equation. Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts, calculation integral by proper fraction, integration of trigonometric function, integration of irrational functions. Definite integral: properties of definite integral, area and volume calculation, length of arc, improper integral.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Applications of derivative; maxima and minimal definite problems, indeterminate exponential function. .
2Analysis of the alterations of functions and graphical drawings.
3Graphics
4 Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts.
5 Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts.
6 Integral which is detachable to its basic form, integration by parts.
7Calculation integral by proper fraction, integration of trigonometric function, integration of irrational functions.
8Mid-term exam
9Application of indefinite integral differential equation.
10Application of indefinite integral differential equation
11Definite integral: properties of definite integral, area and volume calculation
12Area calculation
13Volume calculation
14Length of arc
15Improper integral.
16End-of-term exam
Recommended or Required Reading
1. Balcı, M. (2012). Analitik Geometri. Sürat Üniversite Yayınları. İstanbul 2. Karakaş, B. ve Baydaş, Ş. (2008). Analitik Geometri. Palme Yayıncılık 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
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Attending Lectures14456
Individual Study for Mid term Examination2714
Individual Study for Final Examination5735
Reading10330
TOTAL WORKLOAD (hours)138
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
LO1 5 5        
LO2 4          
LO3 5    5 4   
LO44 5 55      
LO55 4   55    
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High