MAT232 Mathematics for Statistics - II

6 ECTS - 4-0 Duration (T+A)- 4. Semester- 4 National Credit

Information

Code MAT232
Name Mathematics for Statistics - II
Term 2024-2025 Academic Year
Semester 4. Semester
Duration (T+A) 4-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 4 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. DENİZ ÜNAL ÖZPALAMUTCU
Course Instructor
1 2
Doç. Dr. SELMA TOKER KUTAY (A Group) (Ins. in Charge)


Course Goal / Objective

The aim of this lesson is to comprehend mass and moments , integrals over a region of space, elliptic integrals, vector integral calculus, line integrals, divergence theorem, Greens theorem, differential equations, first-order differential equations, homogeneous differential equations, Exact differential equations, linear differential equations, Bernoulli differential equation.

Course Content

In this lesson, the subjects of mass and moments , integrals over a region of space, elliptic integrals, vector integral calculus, line integrals, divergence theorem, Greens theorem, differential equations, first-order differential equations, homogeneous differential equations, exact differential equations, linear differential equations, Bernoulli differential equation are handled.

Course Precondition

None

Resources

Genel Matematik-Mustafa Balcı Analitik Geometri-Mustafa Balcı

Notes

Analitik Geometri- Arif Sabuncuoğlu Ordinary Differantial equations-Greenberg


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Calculates the center of mass and moment of inertia
LO02 Defines the integral over a region
LO03 Solves triple integrals using cylindrical and spherical coordinates
LO04 Refers to the provided integral as an elliptic integral
LO05 Uses the concept of vector at the Integral calculations.
LO06 applies the Green theorem
LO07 Learns the Divergence Theorem
LO08 Recognizes the types of differential equations
LO09 Determines the type of a given differential equation
LO10 solves a given differential equation using the appropriate method


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explain the essence fundamentals and concepts in the field of Statistics
PLO02 Bilgi - Kuramsal, Olgusal Emphasize the importance of Statistics in life 4
PLO03 Bilgi - Kuramsal, Olgusal Define basic principles and concepts in the field of Law and Economics 1
PLO04 Bilgi - Kuramsal, Olgusal Produce numeric and statistical solutions in order to overcome the problems
PLO05 Bilgi - Kuramsal, Olgusal Use proper methods and techniques to gather and/or to arrange the data
PLO06 Bilgi - Kuramsal, Olgusal Utilize computer programs and builds models, solves problems, does analyses and comments about problems concerning randomization
PLO07 Bilgi - Kuramsal, Olgusal Apply the statistical analyze methods
PLO08 Bilgi - Kuramsal, Olgusal Make statistical inference (estimation, hypothesis tests etc.)
PLO09 Bilgi - Kuramsal, Olgusal Generate solutions for the problems in other disciplines by using statistical techniques and gain insight
PLO10 Bilgi - Kuramsal, Olgusal Discover the visual, database and web programming techniques and posses the ability of writing programs
PLO11 Beceriler - Bilişsel, Uygulamalı Distinguish the difference between the statistical methods
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Make oral and visual presentation for the results of statistical methods 2
PLO13 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Have capability on effective and productive work in a group and individually 4
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği 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 4
PLO15 Yetkinlikler - Öğrenme Yetkinliği Develop scientific and ethical values in the fields of statistics-and scientific data collection


Week Plan

Week Topic Preparation Methods
1 Center of mass and moment of inertia Lecturing, discussion Öğretim Yöntemleri:
Anlatım
2 Integrals over a region in space Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Triple integrals in cylindrical and spherical coordinates. Lecturing, discussion Öğretim Yöntemleri:
Problem Çözme
4 Elliptic integrals. Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Vector integral calculus. Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
6 Line integral, Greens theorem in the plane. Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Divergence Theorem Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam exam Ölçme Yöntemleri:
Yazılı Sınav
9 Definitions of differential equations Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 First-order differential equations. Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme, Proje Temelli Öğrenme
11 Homogeneous differential equations. Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
12 Exact Differential equations Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
13 Linear differential equations Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
14 Bernoulli, Riccatti, Clairout differential equations Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
15 High-order linear differential equations Lecturing, discussion Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
16 Term Exams exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 4 56
Out of Class Study (Preliminary Work, Practice) 14 4 56
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 28 28
Total Workload (Hour) 152
Total Workload / 25 (h) 6,08
ECTS 6 ECTS

Update Time: 14.06.2024 02:25