# 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 Compulsory Departmental Courses 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 Have a basic knowledge of theories, facts and principles related to tourism and tourism management.
2 To have information about the economic, cultural, social and environmental dimensions of tourism.
3 Have knowledge of general business and economics and understand the strategies of human resources management, food and beverage applications, accounting and finance, management and marketing and service marketing in tourism enterprises. X
4 Knows the national and international legal regulations, social, environmental and professional ethical values related to the field of tourism and develops appropriate behaviors to ethics.
5 Demonstrates reading, comprehension, speaking and writing skills in English at least at the B2 level of European Language Portfolio
6 Demonstrates reading, comprehension, speaking and writing skills at a general level of European Language Portfolio A2 in Russian, French, German or Spanish.
7 Uses the information about Tourism and Hotel Management in the business settings and profession; use information and communication technologies and software related to the field.
8 Carries out the service processes related to Tourism and Hotel Management in line with the needs and demands of the consumers and proposes solutions to the problems that will affect the service processes.
9 Generates professional knowledge from the data and synthesizes, analyzes, interprets and evaluates the produced knowledge; gain the ability of doing research project preparation and using the information in solving the problems; makes personal and professional development permanent X
10 He / she takes care of personal care, hygiene, clothing and appearance as required by the tourism sector.
11 Communicates effectively with written, oral, non-verbal and visual ways and demonstrates presentation skills, works effectively as a team and independently.
12 Recognize and understand different cultures and interact with guests from different cultures.

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