ECMZ103 Mathematics I

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

Information

Code ECMZ103
Name Mathematics I
Term 2023-2024 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

Lectures 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 Formulates the economics 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 Has the conceptual and theoretical competence to explain the phenomena in the disciplines of Political Science and International Relations. 5
PLO02 Bilgi - Kuramsal, Olgusal Identifies the international and national issues by methodologies used in the disciplines of Political Science and International Relations; chooses the appropriate analysis techniques across the issues and applies the appropriate empirical studies. 4
PLO03 Bilgi - Kuramsal, Olgusal Becomes skilful at following and interpreting different social areas in international and national levels and also applies the problem-solving oriented practices. 4
PLO04 Bilgi - Kuramsal, Olgusal Collects, reviews and analyzes the data obtained which necessary for modelling applications in the Social Science. 3
PLO05 Bilgi - Kuramsal, Olgusal Individually and/or in a team, takes responsibility, leadership, and works effectively. 5
PLO06 Beceriler - Bilişsel, Uygulamalı In recognition of the need for lifelong learning, follows the latest developments in the field and improves himself/herself. 3
PLO07 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Uses Turkish, and at least one more foreign language, in accordance with the requirements of academic and work life. 5
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Understands and interprets the feelings, thoughts and behaviors of related persons correctly; and expresses himself/herself in written and oral forms accurately.
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Improves his/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development.
PLO10 Yetkinlikler - Öğrenme Yetkinliği Questions traditional approaches, practices and methods; and develops and applies new study methods if necessary.
PLO11 Yetkinlikler - Öğrenme Yetkinliği Recognizes and implements social, scientific and professional ethical values.
PLO12 Yetkinlikler - Öğrenme Yetkinliği Develops skills of defining and analyzing the international, regional and national oriented issues, producing appropriate conflict-resolution techniques and negotiation skills.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Develops critical thinking skills.


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 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 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 Term Exams Repeat subjects before exam Öğretim Yöntemleri:
Soru-Cevap
17 Term 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: 21.09.2023 11:22