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) |
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None |
Course Language | English |
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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;
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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 |
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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. |
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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 |
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Percentage of Final Work | 40 |
Total | 100 |
Course Category
Core Courses | |
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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 | Have a comprehensive understanding of basic psychological perspectives and to examine the mental, affective, and behavioral processes of human beings within a scientific discipline | |||||
2 | Have a knowledge about the historical and philosophical developments, basic concepts, applications and schools of science of psychology as well as the subfields of psychology such as clinical, experimental, social, developmental, industrial, health, traffic and educational psychology | |||||
3 | Gain skills in identifying, describing, formulating, and solving the problems related to basic mental, emotional, and behavioral problems of human beings | |||||
4 | Develop new ideas through analytical, critical, and creative point of view by using abstract concepts and to gain skills in evaluating different psychological phenomena | X | ||||
5 | Gain knowledge and skills in transforming his/her theoretical knowledge into practice in different fields of psychology | |||||
6 | Have skills in accessing knowledge and using resources | X | ||||
7 | Have knowledge about basic principles of psychological assessment along with various quantitative, qualitative, and experimental research methods, to have skills in designing and conducting research by using these methods, and analyzing, reporting, and presenting research data | X | ||||
8 | Have awareness of interpersonal sensitivity, societal processes and problems | |||||
9 | Have efficient written and oral communication skills in Turkish and English | |||||
10 | Gain skills in following the developments in the field of expertise and renewing himself/herself with an awareness of life-span learning | X | ||||
11 | Have professional and ethical responsibility, knowledge, and awareness |
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 |