Pilotage (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
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 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, |
The students who have succeeded in this course;
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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 |
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 |
Learning Outcomes | 1 |
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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. |
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 |
Individual study and homework | |
Lesson | |
Homework | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Homework | |
Application |
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 |
Activities | Number of Activities | Workload |
Course Hours | 14 | 42 |
Midterms | 1 | 3 |
Final | 1 | 3 |
Total Workload | 48 |