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Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MDZ101 |
| Name | Mathematics I |
| Term | 2019-2020 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ŞEHMUS FINDIK |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Güz)
(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
Yok
Resources
Notes
Ders Notu ve Kitaplar
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes function. |
| LO02 | Understands mathematical meaning of the derivative |
| LO03 | Solves mathematical problems using derivative |
| LO04 | Makes using differentials to approximate the account |
| LO05 | Describes 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 | - | Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches | 5 |
| PLO02 | - | Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions | 5 |
| PLO03 | - | Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems | 4 |
| PLO04 | - | Students design and carry out experiments, collect data, analyze and interpret the results. | 2 |
| PLO05 | - | Students gain the capacity to analyze a system, a component, and desing the process under realistic constraints to meet the desired requirements; and the ability to apply the methods of modern design accordingly | 3 |
| PLO06 | - | Students choose and use the modern technical tools necessary for engineering practice. | 3 |
| PLO07 | - | Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. | 4 |
| PLO08 | - | Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves | 4 |
| PLO09 | - | Students use the resources of information and databases for the purpose of doing research and accesing information. | 3 |
| PLO10 | - | Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. | 3 |
| PLO11 | - | Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. | 1 |
| PLO12 | - | Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. | 1 |
| PLO13 | - | Students gain the ability to communicate using technical drawing. | 1 |
| PLO14 | - | Students become informed of professional and ethical responsibility. | 3 |
| PLO15 | - | Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. | 1 |
| PLO16 | - | Students develop an awareness of the universal and social effects of engineering solutions and applications, the entrepreneurship and innovation subjects and gain knowledge of contemporary issues | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | operations on the sets | Literature research | |
| 2 | number sets | Literature research | |
| 3 | inequalities | Literature research | |
| 4 | Relation and functions | Literature research | |
| 5 | Some special functions | Literature research | |
| 6 | Limit | Literature research | |
| 7 | Basic limit problems | Literature research | |
| 8 | Mid-Term Exam | Mid-term exam | |
| 9 | Continuity | Literature research | |
| 10 | Derivative and its geometric meaning | Literature research | |
| 11 | Techniques of differentiation | Literature research | |
| 12 | Error calculations | Literature research | |
| 13 | Applications of derivative, Rolles and Mean value Theorems | Literature research | |
| 14 | Increasing and decreasing functions, maximum and minimum values of functions | Literature research | |
| 15 | The graph of a function, applications of maximum and minimum | Literature research | |
| 16 | Term Exams | Final Exam | |
| 17 | Term Exams | Final Exam |
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 | 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 | ||