Introduction to Calculus (MATH101) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Introduction to Calculus	MATH101	Diğer Bölümlere Verilen Ders	3	0	0	3	5

Pre-requisite Course(s)
N/A

Course Language	English
Course Type	Service Courses Given to Other Departments
Course Level	Bachelor’s Degree (First Cycle)
Mode of Delivery	Face To Face
Learning and Teaching Strategies	Lecture, Question and Answer.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives	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.
Course Learning Outcomes	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.
Course Content	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.
Other Sources	2. Precalculus Enhanced with Graphing Utilities, Second edition, Michael Sullivan and Michael Sullivan, Prentice Hall, 1996.

Evaluation System

Requirements	Number	Percentage of Grade
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
Percentage of Final Work	40
Total	100

Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

#	Program Qualifications / Competencies	Level of Contribution
#	Program Qualifications / Competencies	1	2	3	4	5
1	Acquires skills to use the advanced theoretical and applied knowledge obtained at the mathematics bachelors program to do further academic and scientific research in both mathematics-based graduate programs and public or private sectors.
2	Transplants and applies the theoretical and applicable knowledge gained in their field to the secondary education by using suitable tools and devices.
3	Acquires the skill of choosing, using and improving problem solving techniques which are needed for modeling and solving current problems in mathematics or related fields by using the obtained knowledge and skills.
4	Acquires analytical thinking and uses time effectively in the process of deduction
5	Acquires basic software knowledge necessary to work in the computer science related fields and together with the skills to use information technologies effectively.
6	Obtains the ability to collect data, to analyze, interpret and use statistical methods necessary in decision making processes.
7	Acquires the level of knowledge to be able to work in the mathematics and related fields and keeps professional knowledge and skills up-to-date with awareness in the importance of lifelong learning.
8	Takes responsibility in mathematics related areas and has the ability to work affectively either individually or as a member of a team.
9	Has proficiency in English language and has the ability to communicate with colleagues and to follow the innovations in mathematics and related fields.
10	Has the ability to communicate ideas with peers supported by qualitative and quantitative data.
11	Has professional and ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications.

ECTS/Workload Table

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
Total Workload			35