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Information
| Unit | FACULTY OF ENGINEERING |
| GEOLOGY ENGINEERING PR. | |
| Code | JZ118 |
| Name | mathematics |
| Term | 2021-2022 Academic Year |
| Semester | 2. 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 | Prof. Dr. ALİ ARSLAN ÖZKURT |
| Course Instructor |
Prof. Dr. ALİ ARSLAN ÖZKURT
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the basic engineering courses and vocational courses in Geological Engineering mathematical infrastructure required for the win.
Course Content
Coordinate systems, integral and trigonometric functions.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Converts the equations of the curves from vertical coordinates to polar coordinates and draws the graphs of some special curves in polar coordinates. |
| LO02 | Understands the concept of integral is the inverse of the derivative.Finds area, volume and the center of mass by using integral. Calculates generalized integrals. |
| LO03 | Learn Definition of the indefinite integral, computing indefinite integrals |
| LO04 | Calculate integration by Substitution rule and integration by parts |
| LO05 | Can calculate Integration by partial fractions |
| LO06 | Knows Trigonometric integrals |
| LO07 | Can calculate Integration by trigonometric transformation |
| LO08 | Learn Definite integral. |
| LO09 | can calculate the area and volume by using definite integrals |
| LO10 | Can calculate arc length and surface area by the use of definite integrals |
| LO11 | Finding the coordinates of the center of mass |
| LO12 | Knows Pappus theorem and its application |
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. | 3 |
| 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 | 1 |
| 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. | 2 |
| PLO04 | - | Designs and performs experiments, collects data and interprets the results. | 2 |
| PLO05 | - | Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups | 3 |
| 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 | 3 |
| 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. | 1 |
| 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. | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Polar coordinates, graphs of some special curves | Read the relevant chapter in the book and discussion | |
| 2 | Definition of the indefinite integral, computing indefinite integrals | Read the relevant chapter in the book and discussion | |
| 3 | Substitution rule, integration by parts | Read the relevant chapter in the book and discussion | |
| 4 | Integration by partial fractions | Read the relevant chapter in the book and discussion | |
| 5 | Trigonometric integrals | Read the relevant chapter in the book and discussion | |
| 6 | Integration by trigonometric transformation | Read the relevant chapter in the book and discussion | |
| 7 | Definite integral | Read the relevant chapter in the book and discussion | |
| 8 | Mid-Term Exam | Mid-term exam Preparation | |
| 9 | Calculating the area and volume by using definite integrals | Read the relevant chapter in the book and discussion | |
| 10 | Calculating the area and volume by using definite integrals | Read the relevant chapter in the book and discussion | |
| 11 | Finding arc length and surface area by the use of definite integrals | Read the relevant chapter in the book and discussion | |
| 12 | Finding the coordinates of the center of mass | Read the relevant chapter in the book and discussion | |
| 13 | Pappus theorem and its application | Read the relevant chapter in the book and discussion | |
| 14 | Generalized integral | Read the relevant chapter in the book and discussion | |
| 15 | Generalized integral | Read the relevant chapter in the book and discussion | |
| 16 | Term Exams | Final exam preparation | |
| 17 | Term Exams | Final exam preparation |
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 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||