Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

# Description of Individual Course Units

 Course Unit Code Course Unit Title Type of Course Year Semester ECTS TBMAT104 Mathematics-II 927006 1 2 5
Level of Course Unit
First Cycle
Objectives of the Course
To teach applications of mathematics
Name of Lecturer(s)
Matematik Bölümü Öğretim Üyeleri
Learning Outcomes
1. Extremums of functions, mean value and Rolle's theorem, applications
2. First and second differentiation condition for extremum, absolute extremum
3. Concavity and curve plot, applied optimization problems, Newton's method, indefinite integral
4. Change of variable, partial integration, partial fractions, special change of variable, trigonometric integration
5. Riemann's definite integral, limits of finite sums, fundamental theorem of calculus and properties of definite integral, calculation of area, volume calculation by shell and disk method, arc length, calculation of surface area, moment and calculation of center of mass
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Language of Instruction
Turkish
Work Placement(s)
None
Course Contents
Extremums of functions, mean value and Rolle's theorem, applications, first and second differentiation condition for extremum, absolute extremum, concavity and curve plot, applied optimization problems, Newton's method, indefinite integral, change of variable, partial integration, partial fractions, special change of variable, trigonometric integration, Riemann's definite integral, limits of finite sums, fundamental theorem of calculus and properties of definite integral, calculation of area, volume calculation by shell and disk method, arc length, calculation of surface area, moment and calculation of center of mass
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1. Extremums of functions 2. Mean value and Rolle's theorem, applications 3. First and second differentiation condition for extremum, absolute extremum, concavity and curve plot 4. Applied optimization problems, Newton's method, indefinite integral 5. Change of variable, partial integration, partial fractions 6. Special change of variable, trigonometric integration 7. Riemann's definite integral, limits of finite sums 8. Fundamental theorem of calculus and properties of definite integral 9. Midterm 10. Calculation of area 11. Volume calculation by shell and disk method 12. Arc length 13. Calculation of surface area 14. Moment 15. Calculation of center of mass 16. Final
Assessment Methods and Criteria
 Term (or Year) Learning Activities Quantity Weight (%) Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight (%) Final Examination 1 100 SUM 100 Term (or Year) Learning Activities 40 End Of Term (or Year) Learning Activities 60 SUM 100
Workload Calculation
 Activities Quantity Time(hours) Total Workload(hours) Midterm Examination 1 2 2 Final Examination 1 3 3 Individual Study for Mid term Examination 1 60 60 Individual Study for Final Examination 1 60 60 SUM 125