DICLE UNIVERSITY

SCIENCE INSTITUTE

Department of Mathematics

COURSE INFORMATION PACKAGE

Course Code / Optic Code / Consultation Hours / T+A / Credit / ECTS
504054 / 10504054 / 3+0 / 3 / 8
Course Title / NUMERICAL ANALYSIS II
Year/Semester / SPRING
Status / SELECTİVE
Programme’s Name / MATHEMATICS
Language of Instruction / TURKISH
Prerequisites / NO
Disable Students / In case of need, Handicapped students, can request some facilities by giving information about herself.
Student Responsibilities / In order to content of course, to get ready, to participate, and responsibilities, which are homework, project, disputation, and reading the interested parts, about course have to be performed
Lecturer / Prof. Dr. Abdulkadir ERTAŞ e-mail:
Course Assistant
Course Objectives / To gain fundamental knowledge, concept, principle and ability with regard to Numerical Analysis course.
Special Quota for
Other Departments / The most 10 (ten) student
Learning Outcomes / At the end of this course the student;
-  Student through this course realizes that there is a need for a new point of view between this course and the previous analysis course from the aspect the meaning and the functioning.
-  Through this new understanding and this interpretation the student is to be equipped with enough knowledge of how the construction of the fundamentals of mathematics is achieved.
-  The student’s ability of thinking mathematically is to be improved in the case that he/she is being introduced with the processes, spaces and the models which he/she has never known before and probably never heard of.
-  May improve his/her ability of analyzing.
-  Improves the ability of self-motivation
-  May become competent of debating mathematics.
-  Acquires the enthusiasm for investigation, exploration of building strategies and reinforcing his/her intuitive approach.
504054 / 10504054 / NUMERICAL ANALYSIS II / 3+0 / 3 / 8
Contents, learning activities
Week / Topic / Learning Activities
1 / Initial Value Problems / The student’s approaches to the subject are questioned under the light of the knowledge that is gained through the education process. The students are to be wanted to be ready after reminding them the subject of next week. A notice is made that the volunteers are free to make presentation.
2 / The Picard-Lindelöf Theorem / To reinforce the concepts. The students are wanted to be ready by reminding them the title of the next week.
3 / Euler’s Method / To give examples about application area of the subject. Question is asked and answer provided.
4 / Single step Method / To reinforce the concepts. Discussion with questions and answers.
5 / Multi step Method / To be given Homeworks / Term Paper / Presentation
6 / Examples and problems / Expressing their ideas before explaining the subject as controlling their information about subject. Examples are given. Questions are directed and answered. To be given research subject.
7 / Boundary Value Problems / To work out the previous knowledge of students,
Discussing results of research subject.
8 / Midterm / Discussions on solution after midterm examination
9 / Finite Difference Methods / Presentation and criticism of Homeworks / Term Paper / Presentation
10 / Weak Solutions / Presentation and criticism of Homeworks / Term Paper / Presentation
11 / The Finite Element Method / Students will stimulate for next week's issue to be prepared. Students who wish to make presentations.
12 / Integral Equations / Lecturing, Discussing, Questions-Answer
13 / The Riesz Theory / To work out the previous knowledge of students, The students are wanted to be ready by reminding them the title of the next week.
14 / Operator Approximations / The presentation of this subject by three different students is provided. Examples are given. Questions are directed and answered.
15 / Stability / Summary of the semester will be done.
Assessment criteria / If any, mark as x / Percent (%) / Others
Midterm Exams / X / 30 / Will be given points to determine his marks of this course in certain percentages with respect to activities during the process have been realized by student in the class
Quizzes / X / 10
Homeworks / Term Paper / Presentation / X / 5
Projects / X / 10
Attendance & cover a subject / X / 5
Others (in training, field survey, thesis preparation vb).
Final Exam / X / 40
Textbook / Material / Numerical Analysis : Rainer Kress, Springer 2003
Recommended Reading
Regulating / Analysis and Theory of Functions Department