TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMZ103 |
| Name | Engineering Mathematics I |
| Term | 2019-2020 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 | Yüz Yüze 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
Concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives. Applications of definite integrals; area, volume and centroid calculations. Polar coordinates. Vectors, matrices (definition, types, sum and multiplication). Law of determinants and their calculations. Linear equations and their solutions. Lines and planes in space. Transformation of coordinate axes. Multiple integrals and their uses
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students gain the ability to think analytically. |
| LO02 | Students learn the basic background of Mathematics |
| LO03 | Recognize important theorems and applications of mathematics |
| LO04 | Learn to use mathematics effectively in solving engineering problems. |
| LO05 | Understands limit, derivative calculations and their applications |
| LO06 | Creates the mathematics infrastructure for other courses |
| LO07 | Develops the ability to produce mathematical solutions to the problems encountered in nature |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Concept of function | Lecture notes | |
| 2 | Limit | Lecture notes | |
| 3 | Continuity | Lecture notes | |
| 4 | Derivatives | Lecture notes | |
| 5 | Definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points) | Lecture notes | |
| 6 | Introduction to exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives | Lecture notes | |
| 7 | Applications of definite integrals; area, volume and centroid calculations | Lecture notes | |
| 8 | Midterm exam | Writing exam. | |
| 9 | Polar coordinates | Lecture notes | |
| 10 | Vectors, matrices (definition, types, sum and multiplication) | Lecture notes | |
| 11 | Law of determinants and their calculations | Lecture notes | |
| 12 | Linear equations and their solutions | Lecture notes | |
| 13 | Lines and planes in space | Lecture notes | |
| 14 | Transformation of coordinate axes | Lecture notes | |
| 15 | Multiple integrals and their uses | Lecture notes | |
| 16 | Final examination | Lecture notes | |
| 17 | Final examination | 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 | ||