MK135 Mathematic

5 ECTS - 4-0 Duration (T+A)- 1. Semester- 4 National Credit

Information

Code MK135
Name Mathematic
Term 2024-2025 Academic Year
Semester 1. 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 Sadık EYİDOĞAN (A Group) (Ins. in Charge)


Course Goal / Objective

Understand basic properties of limit, continuity and derivative and use them drawing the graphs of functions, approximate calculations and problem solving.

Course Content

Sets and number sets, Functions, Limits, derivative and rule of derivative, Graph of functions.

Course Precondition

Yok

Resources

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

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Students who successfully complete this course, Define the limit.
LO02 Express the properties of the limit.
LO03 Define the continuity
LO04 Express to theorems on continuity
LO05 Solve problems by using some of the properties of continuous functions.
LO06 Define and compute derivatives.
LO07 Compute irrational numbbers approximately with the help of derivatives.
LO08 Find the maximum and minimum of functions of one variable.
LO09 Draw graphs of functions of one variable.
LO10 Solve practical problems.
LO11 Use LHospitals rule to find limits.


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. 3
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. 3


Week Plan

Week Topic Preparation Methods
1 Numbers: Rational and real numbers. Order. Absolute value. Real axis. Intervals. Inequalities. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
2 Functions. Finding domain and range. Operations on functions and function types. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
3 Increasing and decreasing functions. Inverse function. Graphics. Implicit functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
4 Trigonometric functions. Problem-solving. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
5 Limit of functions of one variable. Properties of limits. One-sided limits. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
6 Infinite Limits . Limits at infinity. Continuity. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
7 Continuous functions and their properties. Problem-solving. Derivatives, slope of the tangent. Geometric interpretation of the derivative. Rules of differentiation. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
8 Mid-Term Exam Review and Problem Solving Ölçme Yöntemleri:
Yazılı Sınav
9 The chain rule. Higher-order derivatives. Derivative of inverse functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
10 The inverse trigonometric functions and their derivatives. Problem-solving. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
11 Rolle Theorem, Mean Value Theorem. Finding maximum and minimum . First and second derivative tests. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
12 The second derivative and convexity. Asymptotes. Skethching graphs. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
13 Applied maximum and minimum problems. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
14 Exponential and logarithmic functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma
15 Indefinite forms and LHopitals rule. 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: 08.07.2024 10:54