Course Name | Calculus I |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
MATH 101 | Fall | 3 | 0 | 3 | 6 |
Prerequisites | None | |||||
Course Language | English | |||||
Course Type | Required | |||||
Course Level | First Cycle | |||||
Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | Problem SolvingQ&ALecturing / Presentation | |||||
Course Coordinator | ||||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | This course aims to cover the notion of function which is one of the fundamental concepts of Mathematics. Graphs, limits, derivatives related applications of functions are covered. |
Learning Outcomes | The students who succeeded in this course;
|
Course Description | Functions. Limit and continuity, Derivative and Applications. |
| Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Operations with algebraic expressions, factoring, fractions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 0.4,0.5,0.6 |
2 | Equations, quadratic equations, applications of equations | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 0.7,0.8,1.1 |
3 | Linear inequalities, applications of inequalities, absolute value | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 1.2,1.3,1.4 |
4 | Functions, special functions, combination of functions, inverse functions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 2.1,2.2,2.3,2.4 |
5 | Exponential functions, logarithmic functions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 4.1,4.2,4.3,4.4 |
6 | Limits | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 10.1,10.2 |
7 | Continuity | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 10.3 |
8 | Midterm | |
9 | The derivative, Rules for differentiation, the derivatives as a rate of change | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 11.1, 11.2,11.3 |
10 | The product rule and the quotient rule | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 11.4 |
11 | The chain rule | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 11.5 |
12 | Derivatives of logarithmic and exponential functions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.1,12.2 |
13 | Implicit differentiation | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.4 |
14 | Logarithmic differentiation | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.5 |
15 | Semester Review | |
16 | Final exam |
Course Notes/Textbooks | Haeussler E. F., Paul R. S., Wood R.J., Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" ,14th Edition, (Pearson,2018). ISBN-13: 013414110 |
Suggested Readings/Materials | Finney, Weir, Giordano, “Thomas’ Calculus” , 10th edition, (Addison Wesley longman,2001). ISBN-13: 978-0201441413 |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 6 | 30 |
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 30 |
Final Exam | 1 | 40 |
Total |
Weighting of Semester Activities on the Final Grade | 7 | 60 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 40 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 3 | 48 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | ||
Study Hours Out of Class | 14 | 3 | 42 |
Field Work | |||
Quizzes / Studio Critiques | 6 | 5 | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 30 | |
Final Exams | 1 | 30 | |
Total | 180 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To be able to acquire a sound knowledge of fundamental concepts, theories, principles and methods of investigation specific to the economic field. | X | ||||
2 | To be able to apply adequate mathematical, econometric, statistical and data analysis models to process economic data and to implement scientific research for development of economic policies. | |||||
3 | To be able to participate in academic, professional, regional, and global networks and to utilize these networks efficiently. | |||||
4 | To be able to have adequate social responsibility with regards to the needs of the society and to organize the activities to influence social dynamics in line with social goals. | |||||
5 | To be able to integrate the knowledge and training acquired during the university education with personal education and produce a synthesis of knowledge one requires. | |||||
6 | To be able to evaluate his/her advance level educational needs and do necessary planning to fulfill those needs through the acquired capability to think analytically and critically. | |||||
7 | To be able to acquire necessary skills to integrate social dynamics into economic process both as an input and an output. | |||||
8 | To be able to link accumulated knowledge acquired during the university education with historical and cultural qualities of the society and be able to convey it to different strata of society. | |||||
9 | To be able to take the responsibility as an individual and as a team member. | |||||
10 | To be able to attain social, scientific and ethical values at the data collection, interpretation and dissemination stages of economic analysis. | |||||
11 | To be able to collect data in economics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1) | |||||
12 | To be able to speak a second foreign at a medium level of fluency efficiently. | |||||
13 | To be able to relate the knowledge accumulated throughout human history to their field of economics. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest