TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| GEOLOGY ENGINEERING PR. | |
| Code | JZ225 |
| Name | Engineering Mathematics |
| Term | 2021-2022 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 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 | Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ |
| Course Instructor |
Prof. Dr. ZEYNEP ÖZKURT
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the mathematical background for basic engineering and geological courses, the introduction of differential equations,the solution implementations and the engineering applications.
Course Content
Limits, derivatives, integrals, diferential equations and solution implementations.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Calculates the partial derivatives. |
| LO02 | Calculates the double integral over a planar area and the trple integral over a region of corporal. |
| LO03 | Makes physical applications such as volume, center of gravity or inertia moment of an object with the help of multiple integral. |
| LO04 | Explains solution techniques of I.and II. differential equations and finds out the age of fossils by using radiocarbon. |
| LO05 | Solves some engineering problems such as increase and decrease, mixture and temperature problems. |
| LO06 | Knows Solution methods of Separeble and homogeneous Diferential equations |
| LO07 | Knows Solution methods of exact differential equations |
| LO08 | Knows Lineer ve Bernoulli Diferensiyel Denklemlerin Çözüm Yöntemleri, |
| LO09 | Can make Physical and engineeing applications of differential equations of the first order. |
| LO10 | Learn Higher order of differential equations |
| LO11 | Knows Solution methods of differential equations of the II. order. |
| LO12 | Learn Methods of undetermined coefficient. |
| LO13 | Can make Physical and engineeing applications of differential equations of the II. order. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Uses Fundamental Geological information, having necessary information in Mathematical and Natural sciences and employs theoretical and applied information in these areas in engineering solutions. Identifies, formulizes and solves geological problems. Realizes the social effects of identified solutions for geological problems. Identifies, defines, formulizes and solves engineering problems. Chooses and applies the appropriate analytical and modelling techniques for this purpose. | 0 |
| PLO02 | - | Uses necessary techniques and instruments for geological applications Identifies rock types, draws geological maps and cross sections. Investigates and reports all kinds of natural resources and geological hazards | 0 |
| PLO03 | - | Thinks, interprets, analyzes and synthesizes geological events in 3D. Chooses and applies necessary methods and instruments for engineering applications. Uses the information technology effectively. | 0 |
| PLO04 | - | Designs and performs experiments, collects data and interprets the results. | 0 |
| PLO05 | - | Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups | 0 |
| PLO06 | - | Investigates to obtain scientific information, and uses data bases and other data sources actively. Has an awareness of life long learning; follows developments in science and technology to keep up to date | 0 |
| PLO07 | - | Initiates effective interactions in Turkish both orally and in written form, and speaks at least one foreign language. Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. | 0 |
| PLO08 | - | Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications. Knows the universal and societal effects of engineering solutions and applications. Has an awareness of entrepreneuring and innovative subjects; knows and finds solutions for the new century. | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Descriptions of functions of several variables, limits and continuity. | Reading the related subject (pages 849-856; 858-863) | |
| 2 | Partial derivatives and applications | Reading the related subject (pages 863-869) | |
| 3 | Definite integral over a planar area at the vertical coordinates | Reading the related subject (pages 943-952; 953-960) | |
| 4 | Definite integral over a planar area at the polar coordinates | Reading the related subject (pages 968-972) | |
| 5 | Definite integral over an object at the cylindiric and spherical coordinates | Reading the related subject (pages 976-984) | |
| 6 | Solution methods of Separeble and homogeneous Diferential equations | Reading the related subject (pages 39-45) | |
| 7 | Solution methods of exact differential equations | Reading the related subject (pages 52-62) | |
| 8 | Mid-Term Exam | Exam preparation | |
| 9 | Solution methods of Linear and Bernoulli differential equations | Reading the related subject (pages 46-52) | |
| 10 | Physical and engineeing applications of differential equations of the first order. | Reading the related subject (chapter problems ) | |
| 11 | Higher order of differential equations I | Reading the related subject (pages 98-100) | |
| 12 | Solution methods of differential equations of the III. order. | Reading the related subject (pages 112-118) | |
| 13 | Methods of undetermined coefficient | Reading the related subject (pages 118-122) | |
| 14 | Physical and engineeing applications of differential equations of the II. order. | Reading the related subject (chapter problems ) | |
| 15 | Application examples | Reading the related subject (chapter problems ) | |
| 16 | Term Exams | Exam preparation | |
| 17 | Term Exams | Exam preparation |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| 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 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||