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  Course Description
Course Name : Mathematics - II

Course Code : MAT132

Course Type : Compulsory

Level of Course : First Cycle

Year of Study : 1

Course Semester : Spring (16 Weeks)

ECTS : 7

Name of Lecturer(s) : Prof.Dr. GONCA AYIK

Learning Outcomes of the Course : Recognizes sequences and series
Recognize convergent and divergent series.
Can calculate definite and indefinite integrals
Can calculate area in rectangular coordinate
Can calculate area in polar coordinate

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : Rocognize sequences and series. Recognize convergent divergent series.Calculate definite and indefinite integral. Calculating area with rectangular and polar coordinates.

Course Contents : Sequences and series, convergent divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates.

Language of Instruction : Turkish

Work Place : Faculty of Arts and Sciences Annex Classrooms


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Sequences and series Review of the relevant pages from sources Narration and discussion
2 Convergency of series and power series Review of the relevant pages from sources Narration and discussion
3 Polar coordinates and parametric equations Review of the relevant pages from sources Narration and discussion
4 Basic rule of integral Review of the relevant pages from sources Narration and discussion
5 Integration by parts Review of the relevant pages from sources Narration and discussion
6 Integrals of rational functions Review of the relevant pages from sources Narration and discussion
7 Integral of trigonometric functions Review of the relevant pages from sources Narration and discussion
8 Mid term exam Review and problem solving Written Exam
9 Definite Integral Review of the relevant pages from sources Narration and discussion
10 Improper integral Review of the relevant pages from sources Narration and discussion
11 Area in rectangular coordinates Review of the relevant pages from sources Narration and discussion
12 Area in polar coordinates Review of the relevant pages from sources Narration and discussion
13 Volume Review of the relevant pages from sources Narration and discussion
14 Arc length Review of the relevant pages from sources Narration and discussion
15 Surface area Review of the relevant pages from sources Narration and discussion
16/17 Final Exam Review and problem solving Written Exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  Analize Giriş Cilt II (2012),Doğan Dönmez, Yusuf Ünlü, Fikri Akdeniz, Nobel Kitabevi.
Required Course Material(s)  Calculus and Analytic Geometry, Sherman K. Stein, Mc Graw Hill.


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 100
    Homeworks/Projects/Others 0 0
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Utilize computer systems and softwares 0
2 Apply the statistical analyze methods 1
3 Make statistical inference(estimation, hypothesis tests etc.) 1
4 Generate solutions for the problems in other disciplines by using statistical techniques 4
5 Discover the visual, database and web programming techniques and posses the ability of writing programme 2
6 Construct a model and analyze it by using statistical packages 4
7 Distinguish the difference between the statistical methods 0
8 Be aware of the interaction between the disciplines related to statistics 0
9 Make oral and visual presentation for the results of statistical methods 4
10 Have capability on effective and productive work in a group and individually 4
11 Develop scientific and ethical values in the fields of statistics-and scientific data collection 0
12 Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics 4
13 Emphasize the importance of Statistics in life 0
14 Define basic principles and concepts in the field of Law and Economics 0
15 Produce numeric and statistical solutions in order to overcome the problems 4
16 Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events 4
17 Use proper methods and techniques to gather and/or to arrange the data 0
18 Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs 0
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 6 84
    Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
    Homeworks, Projects, Others 0 0 0
    Mid-term Exams (Written, Oral, etc.) 1 10 10
    Final Exam 1 15 15
Total Workload: 179
Total Workload / 25 (h): 7.16
ECTS Credit: 7