ISTANBUL OKAN UNIVERSITY INFORMATION PACKAGE / COURSE CATALOGUE
| Pilotage (English) | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
General course introduction information
| Course Code: | FT115 | ||||||||
| Course Name: | Applied Mathematics | ||||||||
| Course Semester: | Fall | ||||||||
| Course Credits: |
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| Language of instruction: | EN | ||||||||
| Course Requisites: | |||||||||
| Does the Course Require Work Experience?: | No | ||||||||
| Type of course: | Compulsory | ||||||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||||||
| Course Coordinator : | Dr.Öğr.Üyesi EVREN ÖZŞAHİN | ||||||||
| Course Lecturer(s): |
Dr.Öğr.Üyesi ZEYNEP TAVUKOĞLU ŞAHİN Dr.Öğr.Üyesi EVREN ÖZŞAHİN |
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| Course Assistants: |
Course Objective and Content
| Course Objectives: | The goal here is developing the student’s geometric insight into the concepts of differentiation and integration, and applying these concepts to problem solving and “real world application”. |
| Course Content: | Differentiation of algebraic and transcendental functions, applications of the derivative, differentials, indefinite integrals, definite integrals, |
Learning Outcomes
The students who have succeeded in this course;
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Lesson Plan
| Week | Subject | Related Preparation |
| 1) | Functions and graphs. Inverse functions. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 2) | The limit of a function. Algebraic computation of limits. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 3) | Exponential and logarithmic functions, An introduction to the derivative. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 4) | Techniques of differentiation. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 5) | Derivatives of trig., exponential and log. functions. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 6) | The chain rule. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 7) | Midterm Exam | |
| 8) | Extreme values of a continuous function | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 9) | The mean value theorem | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 10) | L’Hopital’s rule. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 11) | Optimization in physical sciences | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 12) | Riemann sums and the definite integral | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 13) | Introduction to differential equations | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 14) | Numerical integration. | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 15) | Numerical Integration | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
| 16) | Final Exam |
Sources
| Course Notes / Textbooks: | Calculus, 5th Edition by Strauss, Bradley and Smith |
| References: | Thomas Calculus in SI Units, George B. Thomas / Maurice D. Weir / Joel R. Hass, Pearson |
Course-Program Learning Outcome Relationship
| Learning Outcomes | 1 |
|---|---|
| Program Outcomes | |
| 1) To be able to use the advanced theoretical and practical knowledge acquired in the field and to follow current developments. | |
| 2) To develop positive attitude towards lifelong learning. | |
Course - Learning Outcome Relationship
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | To be able to use the advanced theoretical and practical knowledge acquired in the field and to follow current developments. | 3 |
| 2) | To develop positive attitude towards lifelong learning. | 3 |
Learning Activity and Teaching Methods
| Individual study and homework | |
| Lesson | |
| Homework | |
| Problem Solving | |
| Q&A / Discussion |
Assessment & Grading Methods and Criteria
| Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
| Homework | |
| Application |
Assessment & Grading
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 1 | % 40 |
| Final | 1 | % 60 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| total | % 100 | |
Workload and ECTS Credit Grading
| Activities | Number of Activities | Workload |
| Course Hours | 14 | 42 |
| Midterms | 1 | 3 |
| Final | 1 | 3 |
| Total Workload | 48 | |