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 | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| None |
| Course Language | English |
|---|---|
| Course Type | N/A |
| 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 | Having the conceptual and applied knowledge about the basic functions of the business and gaining the ability to use the knowledge | |||||
| 2 | To be able to diagnose the problems related to the field of business, to use scientific approaches effectively in the solution of problems and decision-making processes. | |||||
| 3 | To be able to reveal and analyze the environmental, social, global effects and legal consequences of the applications related to the basic functions of the business. | |||||
| 4 | To be able to analyze information and reports that concern businesses at the national, regional and global level, to set strategic goals according to the results obtained | |||||
| 5 | Gain the ability to use, report and interpret Business Information Systems and sub-modules required by business management | |||||
| 6 | Planning necessary activities such as starting a new business with innovative and creative thinking and taking risks for the sustainability of the business, finding resources, making market analysis, preparing a business plan, and using the learned information in this direction. | |||||
| 7 | Being aware of the fact that the research and learning process continues throughout life, to be able to follow the scientific and technological developments related to the business, to support oneself and the organization in innovation and continuous development. | |||||
| 8 | To have the necessary leadership and managerial skills to achieve business objectives effectively and efficiently. | |||||
| 9 | To be able to conduct scientific research in the field of business and report the results of the research to be used in managerial decision-making processes. | |||||
| 10 | To be able to transfer information about the field of business using effective verbal, written and visual communication methods in the language of learning and professional English | |||||
| 11 | To be aware of professional ethics, environmental awareness, sustainability, social responsibility, cultural, social and universal values | |||||
| 12 | Working effectively with different disciplines or multicultural teams, taking responsibility, making risk analysis, adapting to change, critical thinking and using initiative in problem solving | |||||
| 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 | ||