MK108 General Mathematics

5 ECTS - 4-0 Duration (T+A)- 2. Semester- 4 National Credit

Information

Code MK108
Name General Mathematics
Term 2024-2025 Academic Year
Semester 2. Semester
Duration (T+A) 4-0 (T-A) (17 Week)
ECTS 5 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. ZERRİN GÜL ESMERLİGİL
Course Instructor
1 2
Prof. Dr. ZERRİN GÜL ESMERLİGİL (A Group) (Ins. in Charge)


Course Goal / Objective

Mathematical and physical quantities are calculated with integral or series.

Course Content

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

Course Precondition

None

Resources

Analize Giriş Cilt II , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Students who successfully complete this course, Calculate limits of sequences.
LO02 Decide whether or not an infinite series convergent.
LO03 Express functions as infinite series.
LO04 Identify different curves.
LO05 Draw different curves.
LO06 Compute indefinite integrals.
LO07 Calculate definite integrals.
LO08 Calculate area, volume, arc length, surface area and center of gravity using definite Integral .


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Relates his/her knowledge in the field of chemistry to life and industry by relying on his/her knowledge
PLO02 Bilgi - Kuramsal, Olgusal Evaluates the developments in the world by following and perceiving the orientations in the industry.
PLO03 Bilgi - Kuramsal, Olgusal Gains awareness of lifelong learning and renews his/her knowledge. 4
PLO04 Bilgi - Kuramsal, Olgusal Access to information and associate their knowledge with other fields of science. 4
PLO05 Bilgi - Kuramsal, Olgusal Understands the need to combine information in the application of information and perceives the total quality awareness. 4
PLO06 Bilgi - Kuramsal, Olgusal S/he has knowledge in the use of resources, in the creation of technology depending on the country's resources. 4
PLO07 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği S/he conveys what s/he knows to people close or distant to the subject by concretising. 4
PLO08 Yetkinlikler - Öğrenme Yetkinliği Gains the ability to access new information and technology. 4
PLO09 Bilgi - Kuramsal, Olgusal Learns to think creatively and produce solutions to problems in the field. 5
PLO10 Yetkinlikler - Öğrenme Yetkinliği To be able to associate information by having the ability of reasoning and transfer what they know to practice. 5
PLO11 Beceriler - Bilişsel, Uygulamalı Sets up laboratory equipment and makes decisions alone.
PLO12 Bilgi - Kuramsal, Olgusal To be able to follow the current technology in the field of chemistry and gain added value.
PLO13 Bilgi - Kuramsal, Olgusal Follows the developments, gains the ability to follow the directions in the field.
PLO14 Bilgi - Kuramsal, Olgusal Knowing information sharing and participating in teamwork and directing the team. 5
PLO15 Beceriler - Bilişsel, Uygulamalı Gains universal thinking and critical perspective. 5
PLO16 Bilgi - Kuramsal, Olgusal Starts to have a say in the field. 5


Week Plan

Week Topic Preparation Methods
1 Sequences, Limits. Limit theorems, infinite limits. Monotone convergence theorem. Subsequences. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
2 Convergence of the series, the n-th term test, geometric series, p-series, Comparison, Limit Comparison, Ratio and Root Tests. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
3 Power series, radius of convergence, power series term term Differentiation theorem, Taylor and McLaurin series, Binomial theorem. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
4 Polar Coordinates. Some of the important curves. Curve drawings. The slope of the tangent formula. Parameterized curves. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
5 The Indefinite Integral definition, properties. Variable change and partial Integration. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
6 Integration of some trigonometric functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
7 Integration of some algebraic functions with variable change and reduction formulas. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
8 Mid-Term Exam Review and Problem Solving Ölçme Yöntemleri:
Yazılı Sınav
9 Integration of Rational Functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
10 Special trigonometric and algebraic integrals. Definition and properties of the definite integral. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
11 Fundamental theorems of differential calculus. Change of variables formula. Improper integrals. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
12 Convergence of improper integrals. Integral test. Cartesian and polar coordinates and area calculation. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
13 Calculate the volume with Disk and cylindrical layers method. Arc length. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
14 Surface area of revolution. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
15 Finding the center of gravity. Pappus formula. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
16 Term Exams Review and Problem Solving Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review and Problem Solving 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 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 8 8
Final Exam 1 16 16
Total Workload (Hour) 122
Total Workload / 25 (h) 4,88
ECTS 5 ECTS

Update Time: 13.09.2024 03:38