ECTS - Introduction to Calculus
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) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Compulsory Departmental Courses |
| Course Level | Bachelor’s Degree (First Cycle) |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Question and Answer. |
| Course Lecturer(s) |
|
| 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;
|
| 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 | X |
|---|---|
| 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 | ||||
|---|---|---|---|---|---|---|
| 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. | |||||
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 | ||