ECMZ103 Mathematics I

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

Information

Code ECMZ103
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 İngilizce
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HASAN ALTAN ÇABUK
Course Instructor Dr. Öğr. Üyesi SEMİN PAKSOY (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 Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Pearson Education

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Gains 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 Economic formulates the 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 Explain the importance of demand and supply in economy sciece and the well-running conditions of the market economy 3
PLO02 Bilgi - Kuramsal, Olgusal Define the role of pricing within the event advantage of the market economy 2
PLO03 Bilgi - Kuramsal, Olgusal Define the role of the state in economy, money and financial policies, the central bank and the structure of the market 3
PLO04 Bilgi - Kuramsal, Olgusal Perceive the costs and benefits arising from the global economy 4
PLO05 Bilgi - Kuramsal, Olgusal Produce nymerical and policy options when confronted with problems 3
PLO06 Bilgi - Kuramsal, Olgusal Use quantitative and qualitative techniques of model building, decoding and interpretation 5
PLO07 Bilgi - Kuramsal, Olgusal Use the theory of economics in the analysis of economic events 3
PLO08 Bilgi - Kuramsal, Olgusal Use computer programs, do synthesis and present prepared data efficiently
PLO09 Bilgi - Kuramsal, Olgusal Apply the methods of economic analysis. 4
PLO10 Bilgi - Kuramsal, Olgusal Analyze at conceptual level and aquire abiliy in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems
PLO11 Bilgi - Kuramsal, Olgusal Take responsibility individually and/or in a team, take leadership and work effectively 2
PLO12 Beceriler - Bilişsel, Uygulamalı Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself 2
PLO13 Beceriler - Bilişsel, Uygulamalı Use of different sources about an unfamiliar field within academic principles, synthesize gained data and present effectively
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Use Turkish and at least one foreign language in accordance with the requirements of academic and work life
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Understand and interpret related peoples´ feelings, thoughts and behaviours correctly; express him-/herself accurately in written and oral language 2
PLO16 Yetkinlikler - Öğrenme Yetkinliği Question traditional approaches, practices and methods. 3
PLO17 Yetkinlikler - Öğrenme Yetkinliği Recognize and apply social, scientific and professional ethical values.


Week Plan

Week Topic Preparation Methods
1 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, Problem Çözme
2 Functions Elementary Functions: Graphs and Transformations Quadratic Functions Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Polynomials and rational functions Exponential Functions Logarithmic functions Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, 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, Problem Çözme
5 Continuity Limits and continuity applications Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 DERIVATIVE - 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, Problem Çözme
7 Basic Rules of Differentiation Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam Repeat subjects before exam Öğretim Yöntemleri:
Soru-Cevap
9 The concept of differential Additional Derivative Topics Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 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, 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, 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, Problem Çözme
13 Applications related to chain rule and derivatives of implicit functions Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 First Derivative and Graphs Second Derivatives and Graphs ApplicatLHopitals Rule Curve Drawing Techniques Optimizationions Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 LHopital and optimization Students will be prepared by studying relevant subjects from source books according to weekly program Öğretim Yöntemleri:
Anlatım, Problem Çözme
16 Final Exams Repeat subjects before exam Öğretim Yöntemleri:
Soru-Cevap
17 Final Exams-Second week 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: 07.05.2024 02:24