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 | |
| Supportive Courses | X |
| 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 | Gains the ability to use knowledge by acquiring conceptual and practical understanding of all core functions of business. | |||||
| 2 | Identifies problems related to the field of business and effectively uses scientific approaches in problem-solving and decision-making processes. | |||||
| 3 | Demonstrates and analyzes the environmental, social, global impacts and legal consequences of practices related to core business functions. | |||||
| 4 | Analyzes information and reports relevant to businesses at national, regional, and global levels, and sets strategic goals based on the results obtained. | |||||
| 5 | Gains the ability to use, report, and interpret Business Information Systems and their sub-modules required for business management. | |||||
| 6 | Plans the necessary activities such as taking risks, securing resources, conducting market analysis, and preparing business plans for starting a new venture and ensuring its sustainability with innovative and creative thinking, and applies the acquired knowledge accordingly. | |||||
| 7 | Supports oneself and the organization in terms of innovation and continuous improvement, while being aware that the process of research and learning is lifelong and following scientific and technological developments related to business. | |||||
| 8 | Acquires the necessary leadership and managerial skills to achieve business objectives effectively and efficiently. | |||||
| 9 | Conducts scientific research in the field of business and reports the research findings to be used in managerial decision-making processes. | |||||
| 10 | Uses effective verbal, written, and visual communication methods to convey information related to the field of business in the language of instruction and professional English. | |||||
| 11 | Develops awareness of professional ethics, environmental sensitivity, sustainability, social responsibility, and cultural, societal, and universal values. | |||||
| 12 | Takes initiative in working effectively with different disciplines or multicultural teams, assuming responsibility, conducting risk analysis, adapting to change, and applying critical thinking and problem-solving skills | |||||
| 13 | . | |||||
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 | ||