EKMZ103 Mathematics I

6 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code EKMZ103
Name Mathematics I
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HASAN ALTAN ÇABUK
Course Instructor Dr. Öğr. Üyesi Sibel ÖRK ÖZEL (A Group) (Ins. in Charge)


Course Goal / Objective

In this course, basic concepts of Mathematics will be given to form theoretical background.

Course Content

Functions, Functions and Their Graphs, Limits and Continuity, Derivates, Economics Applications of Derivates, Indeterminate Forms in Limits, Graphical Illustration of Polynomial and Rational Function.Graphical Illustration of Exponantial Function.Graphical Illustration of Logarithmic Function.

Course Precondition

There are no prerequisites for the course

Resources

E.F.Haeussler and R.S. Paul, Introductory, Temel Matematiksel Analiz (Ekonomik,Ticari ve Sosyal) Prentice-Hall Inc., New Jersey.

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Gives the ability to apply to business, economics and social sciences problems by using information about mathematics
LO02 Creates mathematical model of economics problems encountered in business area
LO03 Formulates the economic problem
LO04 Solves the economic problem
LO05 Interprets the obtaining solutions


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explains basic conceptual information about economy and finance 3
PLO02 Bilgi - Kuramsal, Olgusal interprets data from different sources using contemporary communication tools, methods and processes.
PLO03 Bilgi - Kuramsal, Olgusal Having basic computer knowledge and skills, she uses this knowledge in the professional field
PLO04 Bilgi - Kuramsal, Olgusal explain the duties and authorities of Public Financial Institutions.
PLO05 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Works effectively individually and/or in a team. 2
PLO06 Beceriler - Bilişsel, Uygulamalı Synthesizes and effectively presents the information obtained from different sources within the framework of academic rules in the field of research. 3
PLO07 Beceriler - Bilişsel, Uygulamalı Being aware of the necessity of lifelong learning, she follows the current developments in her field.
PLO08 Beceriler - Bilişsel, Uygulamalı Synthesizes the information obtained from different sources within the framework of academic rules.
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Turkish and at least one foreign language is used in accordance with the needs of academic life and business life
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği explain the job descriptions of professional people.
PLO11 Yetkinlikler - Öğrenme Yetkinliği Have social, scientific and ethical values.
PLO12 Yetkinlikler - Öğrenme Yetkinliği Apart from the traditional approach, it develops new working methods when it deems necessary.
PLO13 Yetkinlikler - İletişim ve Sosyal Yetkinlik Expresses herself orally and in writing 5


Week Plan

Week Topic Preparation Methods
1 ELEMENTARY FUNCTIONS (I) Linear Equations and Inequalities Graphs and Lines Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
2 ELEMENTARY FUNCTIONS (II) Functions Elementary Functions: Graphs and Transformations Quadratic Functions Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım
3 ELEMENTARY FUNCTIONS (III) Polynomials and rational functions Exponential Functions Logarithmic functions Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
4 LIMIT (I) Introduction to the limit Infinite Limits and Limits at Infinity Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım
5 LIMIT (II) Continuity Limits and continuity applications Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
6 DERIVATIVE (I) Rate of Change, Instantaneous Rate of Change, The slope of a graph, Definition of Derivative,Finding Derivatives, Slope of the tangent line Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
7 DERIVATIVE (II) Basic Rules of Differentiation Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
8 Mid-Term Exam Repeat subjects before exam Öğretim Yöntemleri:
Soru-Cevap, Problem Çözme
9 DERIVATIVE (III) The concept of differential Additional Derivative Topics Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
10 DERIVATIVE (IV) Marginal Analysis for Business and Economics Marginal Cost, Revenue and Profit Cost Analysis Marginal Cost and Full Cost Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
11 Constant-e and continuous compound interest Derivatives of Exponential and Logarithmic Functions Product and Quotient Rules Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
12 The Chain Rule Implicit Differentiation Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
13 Problem solving about chain rule and Implicit Functions Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Problem Çözme
14 First Derivative and Graphs Second Derivatives and Graphs Applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
15 LHopitals Rule Curve Drawing Techniques Optimization Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
16 Term Exams Repeat subjects before exam Öğretim Yöntemleri:
Soru-Cevap
17 Term Exams Repeat subjects before exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
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 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 08.05.2024 10:48