TÜRKÇE
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Information
| Code | MDZ101 |
| Name | Mathematics I |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ŞEHMUS FINDIK |
| Course Instructor |
Prof. Dr. ŞEHMUS FINDIK
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To improve the ability of solving problems, to support reasoning skills, to create mathematical infrastructure for vocational courses of the mining program.
Course Content
Functions of one variable/ Limits and continuity/ Derivative and Differantiation/ applications of derivative; maxima and minima, the mean value theorem/ Integration; indefinite and definite integrals, integral rules, the fundamental and the mean value theorems of integral calculus/ Applications of definite integrals; length of curves, area, volumes of revolution.
Course Precondition
None.
Resources
Analize Giriş I, F. Akdeniz, Y. Ünlü, D. Dönmez
Notes
None.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the concept of function. |
| LO02 | Understands mathematical meaning of the derivative |
| LO03 | Solves mathematical problems using derivative |
| LO04 | Makes using differentials to approximate the account |
| LO05 | Describes the concept of limit. |
| LO06 | Describes continuity concepts |
| LO07 | Understands physical meaning of the derivative |
| LO08 | Solves physical problems using derivative |
| LO09 | Solves engineering problems using derivative |
| LO10 | Has the knowledge on relation and functions |
| LO11 | Has the knowledge on techniques of differentiation |
| LO12 | Has the knowledge on error calculations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Students has sufficient knowledge on theoretical and applied subjects in the light of contemporary knowledge and scientific approaches in the field of mining. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Applies the knowledge she has received in the field of mining in multidisciplinary studies to produce solutions to the problems she has encountered. | 5 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Analyzes problems with the help of up-to-date information and makes inferences for solutions. | 4 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | It applies physical, chemical, mechanical and mineralogical analyzes in accordance with TSE standards in field studies or laboratory conditions. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Has the ability to analyze the engineering plans. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | It dominates the machinery park in mining enterprises and can use them for the execution of mining activities. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students has the ability to solve the problems she encounters by working individually or in a team with other disciplines. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It constantly follows the developments in the mining field, as it knows that the information is not static. | 3 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | It can use printed publications or databases to obtain the necessary information in mining processes. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | He/she carries out all his/her work in a planned way in order to constantly improve himself/herself and increase her knowledge level. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses computers and other electronic resources in mining. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Uses at least one foreign language at B1 General Level in order to communicate and access information. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Performs technical drawings by thinking in three dimensions in the studies she has done in her field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | It has the awareness of adhering to moral and ethical values while carrying out its mining activities. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | It is aware of the need to prioritize the environment and the health of employees, as it has an infrastructure on Occupational Health and Safety awareness in mining and their legal obligations. | |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Knows that the solutions to the problems in the mining field affect societies and communities, so they have information about the innovative applications and models developed. | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | operations on the sets | Literature research | Öğretim Yöntemleri: Anlatım |
| 2 | number sets | Literature research | Öğretim Yöntemleri: Anlatım |
| 3 | inequalities | Literature research | Öğretim Yöntemleri: Anlatım |
| 4 | Relation and functions | Literature research | Öğretim Yöntemleri: Anlatım |
| 5 | Some special functions | Literature research | Öğretim Yöntemleri: Anlatım |
| 6 | Limit | Literature research | Öğretim Yöntemleri: Anlatım |
| 7 | Basic limit problems | Literature research | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Continuity | Literature research | Öğretim Yöntemleri: Anlatım |
| 10 | Derivative and its geometric meaning | Literature research | Öğretim Yöntemleri: Anlatım |
| 11 | Techniques of differentiation | Literature research | Öğretim Yöntemleri: Anlatım |
| 12 | Error calculations | Literature research | Öğretim Yöntemleri: Anlatım |
| 13 | Applications of derivative, Rolles and Mean value Theorems | Literature research | Öğretim Yöntemleri: Anlatım |
| 14 | Increasing and decreasing functions, maximum and minimum values of functions | Literature research | Öğretim Yöntemleri: Anlatım |
| 15 | The graph of a function, applications of maximum and minimum | Literature research | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Final Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final Exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 4 ECTS | ||