Course Description and Application Information Form
Faculty/Vocational School/College/Institute Faculty of Agriculture
Department / Programme / Other Biosystem Engineering
 
Course Unit Title Code Semester Theo. Pra-Lab Credit ECTS
Calculus II MAT102 2013 - 2014 Spring Semester 3 0-0 3 3
 
Prerequisite Courses
(Recommendation)
Type of Course Unit Required
Level of Course Unit First Cycle
Course Language Turkish
Lecturers
Academician Dr. BAHAR EREN
Course Objectives The aim of the course is to teach derivatives and differential, intagrasyon solutions, concepts of value, area, arc length, matrices, determinants and systems of linear equations which are required for engineering mathamatics, and to give to the students the ability to use these their branch courses.
Learning Outcomes of the Course
1) To learn matrices, determinants and systems of linear equations
2) To learn, the calculations for field, the spring length and volume of solids of revolution
3) To knowledge about the derivative and differential, chain rule and implicit differentiation
4) To learn the theorems for the maximum, minimum and mean values
5) To learn Integration and their methods
Course Content The course contain the information about derivatives and differential, chain rule, implicit differentiation, maximum, minimum and mean value theorem, the concept and methods of integration, area, arc length, volume calculations of solids of revolution, matrix, determinant and the linear equation systems.
Preliminary Weekly, Teaching Methods and Techniques/Preliminary Preparation Resources
1 Derivative and differential
2 Derivative and differential, chain rule, implicit differentiation
3 Theorems for maximum, minimum, mean value
4 Theorems for maximum, minimum, mean value
5 Integration, the concept of indefinite integrals, integration methods, definite integral
6 Integration, the concept of indefinite integrals, integration methods, definite integral
7 Integration, the concept of indefinite integrals, integration methods, definite integral
8 Midterm exam
9 Applications of definite integrals
10 The main theorem of integral calculus, mean value theorem of integral calculus
11 Field, arc length, volume calculations of solids of revolution
12 Field, arc length, volume calculations of solids of revolution
13 Matrices, determinants, linear equation systems
14 Matrices, determinants, linear equation systems
15 Final Exam 1st. week
16 Final Exam 2nd. week
Readings / Lecture Notes 1) Ross, K. A., Elementary Analyis, the theory of Calculus, Springer-Verlag, New York,1980. 2) Silverman, R., Calculus with Analytic Geometry, Prentice-Hall, New Jersey, 1985. 3) Fridy, J. A., Introductory Analysis, the theory of Calculus, HBJ Publishers, Academic Press, 1987 4)Halilov H., Hasanoğlu A., Can M., Yüksek Matematik I, Tek Değişkenli Fonksiyon Analizi
Resources / Other Resources
Sharing materials / Documents
Sharing materials / Homework
Sharing materials / Exams It will be announced at the beginning of the semester on WEB
Rating System
SEMESTER INTERNAL WORKS CONTRIBUTION
Midterm Exams 30
TOTAL 30
Contribution to the Study of Semester Grades 30
Contribution to the Final Examination Grades 70
TOTAL 100
Course Category Support courses
Program Competencies
PÇ-1 Ability of accessing to information, making resource search, using databases and other information sources
PÇ-2 Ability of analyzing a system, system component or process and designing system under realworld constraints for meeting requirements by using modern designing methods
PÇ-3 Ability of working effectively with multi-disciplinary teams and having self-confidence for taking responsibility
PÇ-4 Ability of experiment designing, implementing, obtaining data from experiments and also analyzing and interpreting of these data
PÇ-5 Ability of detecting, identifying, monitoring, interpreting, formulating, and solving current professional challenges, also ability of choosing and using appropriate approach and techniques for this aim
PÇ-6 Having sufficient knowledge about mathematic, science and related engineering topics and ability of solving problems on agricultural machinery areas with these theoretical and practical knowledge
PÇ-7 Understanding about professional and ethical responsibilities and taking responsibility
PÇ-8 Ability of using modern engineering techniques, skills and calculation tools which is required for engineering applications (obtaining data by using laboratory and workshop tools, preparing technical drawings, preparing technical reports, doing technical presentations, effective usage of calculation tools, information technologies, software)
PÇ-9 Having awareness about the effects of engineering solutions and applications for global and social context; to be aware of entrepreneurship and innovation issues and also having knowledge about contemporary issues
PÇ-10 Ability in establishing and monitoring experimental studies and analysing the results obtained related to agriculture
PÇ-11 Ability of recognizing, defining, formulating and solving the engineering problems related to agriculture
PÇ-12 Management and application ability of projects in Agricultural Irrigation
PÇ-13 Ability of effective communication skills both oral and written at Turkish and knowing at least one foreign language
PÇ-14 Awareness of the need for lifelong education, following developments at science and technology and ability of continual self-renewing

Learning Outcomes Course Competencies of Relationship Between Program
# PÇ-1 PÇ-2 PÇ-3 PÇ-4 PÇ-5 PÇ-6 PÇ-7 PÇ-8 PÇ-9 PÇ-10 PÇ-11 PÇ-12 PÇ-13 PÇ-14
ÖÇ-1 11111311411111
ÖÇ-2 11111311411111
ÖÇ-3 11111311411111
ÖÇ-4 11111311411111
ÖÇ-5 11111311411111
AKTS(ECTS) / Work Load Table
Activity Count Time Total Workload
Course duration(including the exam week: total course hours) 16 3 48
Midterm Exam 2 1 20 20
Final Exams 1 25 25
Out of class studying hours (prestudy, reinforcement) 10 1 10
Total Workload     103
Total Workload / 30     3
ECTS Credit of the Course     3