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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMZ103 |
| Name | Engineering Mathematics I |
| Term | 2020-2021 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KESKİN |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
This course aims to improve the students skills for using concepts effectively by recalling their prior knowledge of mathematics.
Course Content
An overview of mathematics, Concept of Function, Limit, Continuity, Introduction to Derivative and Derivative Rules,Logarithmic, hyperbolic and inverse trigonometric functions and derivatives, Derivative Applications, Definite Integral, Properties of Definite Integral, Integration Techniques, Application of Definite Integrals; area, Volume and center of gravity calculations, Arc length, Areas of rotational surfaces, Generalized (Imroper) integrals, İntegral applications
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Acquires analytical thinking ability and improves skills by using mathematical concepts |
| LO02 | Functions |
| LO03 | Limit |
| LO04 | Derivates |
| LO05 | Differential equatşons |
| LO06 | Differential equations applications |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | An overview of mathematics | Lecture notes | |
| 2 | Concept of function | Lecture notes | |
| 3 | Limit | Lecture notes | |
| 4 | Continuity | Lecture notes | |
| 5 | Introduction to Derivative and Derivative Rules | Lecture notes | |
| 6 | Logarithmic, hyperbolic and inverse trigonometric functions and their derivatives | Lecture notes | |
| 7 | Derivative Applications | Lecture notes | |
| 8 | Mid-Term Exam | Writing exam. | |
| 9 | Polar coordinates | Lecture notes | |
| 10 | Definite Integral, Properties of Definite Integral | Lecture notes | |
| 11 | Integration Techniques | Lecture notes | |
| 12 | Applications of definite integrals; area, volume and centroid calculations | Lecture notes | |
| 13 | Arc Length, Areas of Rotational Surfaces, Imroper Integrals | Lecture notes | |
| 14 | Integral Applications | Lecture notes | |
| 15 | Integral Applications | Lecture notes | |
| 16 | Term Exams | Lecture notes | |
| 17 | Term Exams | Lecture notes |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||