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 | Service Courses Taken From Other Departments |
| 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 | |
|---|---|
| Major Area Courses | X |
| 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 | Ability to determine, identify, formulate and solve the problems in the field of aviation management; for this purpose, ability to select and apply appropriate methods of analyzing and modelling | X | ||||
| 2 | Adequate knowledge in the areas of business, management, and aviation management; ability to apply to identify and solve the problems encountered in the field of air transport operations and theoretical and practical knowledge in these areas. | X | ||||
| 3 | Ability to design to meet the specific requirements of complex system or process related to aviation management, under realistic constraints and conditions; for this purpose, ability to apply modern design methods.( Realistic constraints and conditions, depending on the nature of the design, contain items as economics, environmental issues, sustainability, manufacturability, ethical, health, safety, social and political problems.) | |||||
| 4 | The ability to select, use and develop of modern techniques and tools that are needed for the applications needed in aviation management;the ability to use information technologies effectively. | X | ||||
| 5 | To examine the problem of aviation management experimental design, conducting experiments, collecting data, analyzing and interpreting the results skills. | X | ||||
| 6 | The ability to work effectively in the disciplinary and multi-disciplinary teams; individual study skills. | |||||
| 7 | Effective verbal and written communication skills in English; follow the information and developments in the field and be able to share with other people, use it in the B1 level of European Language Portfolio, knowing at least one foreign language. | |||||
| 8 | Aware of the necessity of lifelong learning, ability to access to information, follow developments in science and technology and continuous self-renewal ability. | |||||
| 9 | Information about business applications such as project management, risk management and change management; awareness of entrepreneurship, innovation and sustainable development. | X | ||||
| 10 | Information about the effects of aviation management applications on health, environment and safety in the universal and social dimensions and be aware of the legal consequences of the applications to be performed. | |||||
| 11 | To possess conscious about the effects of management and workplace applications of aviation management enterprises on occupational and environmental safety and the health of employees, as well as awareness about legal consequences of these applications. | |||||
| 12 | To possess conscious about responsibility of professional and ethics. | |||||
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 | ||