Introduction to Calculus (MATH105) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Introduction to Calculus	MATH105	Diğer Bölümlere Verilen Ders	3	0	0	3	5

Pre-requisite Course(s)
-

Course Language	Turkish
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. 1-21
2	Fractions, Linear Equations, Quadratic Equations	pp. 24-46
3	Applications of Equations, Linear Inequalities, Applications of Inequalities, Absolute Value	pp. 50-71
4	Functions, Special Functions, Combinations of Functions, Inverse Functions, Graphs in Rectangular Coordinates	pp. 76-103
5	Symmetry, Translations and Reflections, Lines	pp. 108-130
6	Applications and Linear functions, Quadratic Functions, Systems of Linear Equations	pp. 132-157
7	Nonlinear Systems, Applications of Systems of Equations	pp. 159-168
8	Exponential Functions, Logarithmic Functions, Properties of Logarithms	pp. 177-202
9	Logarithmic and Exponential Equations	pp. 204-208
10	Compound Interest, Present Value, Interest Compounded Continuously	pp. 217-226
11	Annuties, Amortization of Loans	pp. 227-241
12	Matrices, Matrix Addition and Scalar Multiplication, Matrix Multiplication	pp. 248-273
13	Solving Systems by Reducing Matrices	pp. 275-290
14	Inverses (Inverse of a Matrix), Determinants (not in the textbook), Cramer’s Rule (not in the textbook)	pp. 291-297
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	Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area
2	Can apply gained knowledge and problem solving abilities in inter-disciplinary research
3	Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary
4	Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study
5	Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework
6	Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility
7	Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation
8	To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2)
9	Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge
10	Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach.
11	Has professional 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