# Introduction to Calculus (MATH101) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Introduction to Calculus MATH101 1. Semester 3 0 0 3 5
Pre-requisite Course(s)
None
Course Language English Service Courses Taken From Other Departments Bachelor’s Degree (First Cycle) Face To Face Lecture, Question and Answer. The aim of this course is to introduce the applications of mathematical analysis to business, economics and social sciences and, to teach different tecniques for problem solving. For this purpose, applications of mathematical analysis are illustrated with a variety of examples in economic, social and managerial sciences. The students who succeeded in this course; solve basic equations (including exponential and logarithmic equations) and inequalities be familiar with some basic functions. They can sketch and read the graph of functions solve system of equations with method of eliminations and also using matrices and determinants produce solutions to problems in economics such as supply and demand equations. Basic algebra, graphs, functions and their graphs, equations and inequalities, polynomials and rational functions, exponential and logarithmic functions, system of equations, matrices, determinants.

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Sets, Numbers, Factoring fractions, Operations with Algebraic Expressions pp. 1-6, 9-41
2 Fractions, Linear Equations, Quadratic Equations pp. 21-34, 37-40
3 Applications of Equations, Linear Inequalities, Applications of Inequalities, Absolute Value pp. 46-64
4 Functions, Special Functions, Combinations of Functions, Inverse Functions, Graphs in Rectangular Coordinates pp. 75-100
5 Symmetry, Translations and Reflections, Lines pp. 103-109, pp. 116-122
6 Applications and Linear functions, Quadratic Functions, Systems of Linear Equations pp. 125-146
7 Nonlinear Systems, Applications of Systems of Equations pp. 148-155
8 Exponential Functions, Logarithmic Functions, Properties of Logarithms pp. 163-185
9 Logarithmic and Exponential Equations pp. 186-189
10 Compound Interest, Present Value, Interest Compounded Continuously pp. 197-206
11 Annuties, Amortization of Loans pp. 208-220
12 Matrices, Matrix Addition and Scalar Multiplication, Matrix Multiplication pp. 227-247
13 Solving Systems by Reducing Matrices pp. 250-262
14 Inverses (Inverse of a Matrix) Determinants (not in the textbook) Cramer’s Rule (not in the textbook) pp. 263-268
15 General Review
16 General Exam

### Sources

Course Book 1. Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences by E. F. Haeussler, Jr Richard S. Paul and Richard J. Wood, Pearson Prentice Hall, 12th edition. 2. Precalculus Enhanced with Graphing Utilities, Second edition, Michael Sullivan and Michael Sullivan, Prentice Hall, 1996.

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 60
Final Exam/Final Jury 1 40
Toplam 3 100
 Percentage of Semester Work 60 40 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Having the conceptual and applied knowledge about the basic functions of the business and gaining the ability to use the knowledge
2 To be able to diagnose the problems related to the field of business, to use scientific approaches effectively in the solution of problems and decision-making processes.
3 To be able to reveal and analyze the environmental, social, global effects and legal consequences of the applications related to the basic functions of the business.
4 To be able to analyze information and reports that concern businesses at the national, regional and global level, to set strategic goals according to the results obtained
5 Gain the ability to use, report and interpret Business Information Systems and sub-modules required by business management
6 Planning necessary activities such as starting a new business with innovative and creative thinking and taking risks for the sustainability of the business, finding resources, making market analysis, preparing a business plan, and using the learned information in this direction.
7 Being aware of the fact that the research and learning process continues throughout life, to be able to follow the scientific and technological developments related to the business, to support oneself and the organization in innovation and continuous development.
8 To have the necessary leadership and managerial skills to achieve business objectives effectively and efficiently.
9 To be able to conduct scientific research in the field of business and report the results of the research to be used in managerial decision-making processes.
10 To be able to transfer information about the field of business using effective verbal, written and visual communication methods in the language of learning and professional English
11 To be aware of professional ethics, environmental awareness, sustainability, social responsibility, cultural, social and universal values
12 Working effectively with different disciplines or multicultural teams, taking responsibility, making risk analysis, adapting to change, critical thinking and using initiative in problem solving
13 .

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 10 20
Prepration of Final Exams/Final Jury 1 15 15