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Information
| Code | IMZ102 |
| Name | Mathematics II |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ HAMZA TANRIKULU |
Course Goal
Teaching of Integral concept and its application in engineering
Course Content
Calculus and Engineering Applications
Course Precondition
Yok
Resources
1. STEWART, J., Kalkülüs Diferansiyel ve İntegral Hesap Kavram ve Kapsam. Türkiye Bilimler Akademisi, Ankara, 990 s.
Notes
Calculus books
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students will find to convergence of sequences and series and interval of convergence of power series. |
| LO02 | Studenst will use vector algebra in 3d-space and in plane and writing the equations of planes and lines. |
| LO03 | Students will understand the limit and the continuity of multivariable functions, computing partial derivatives of them. |
| LO04 | Student will understand finding tangent lines, directional derivatives, gradients and solving the problem of extreme values by using second derivative test. |
| LO05 | Student will evaluate double integrals and applying double integrals for computing of area and volume. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has the basic knowledge of math, science and civil engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has a good commman of basic concepts, theories and principles in civil engineering. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Selects and uses the modern techniques and tools necessary for engineering practice | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the abiltiy to work effectively as a member in interdisciplinary teams | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Identifies proper sources of information and databases, reaches them and uses them efficiently. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Uses the computers and information technologies related with civil engineering actively. | 2 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate effectively both orally and in writing. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Communicates using technical drawing | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Has an awareness of professional and ethical responsibility | |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Differential, Antiderivative, Indefinite integral, Indefinite integral features | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 2 | Integral Techniques, Basic Elements Separation, The Method of Substitution, Partial Integral Method | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 3 | Trigonometric integrals, Trigonometric Substitution, Some Rooted Expressions Integrals | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 4 | Integral of Rational Functions, Basic Fractionization Method | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 5 | The Definite Integral, Riemann Sum, Definite Integral Calculus, The Basic Area Problem | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 6 | Some Properties of Definite Integral, Definite Integrals of Piecewise Continuous Functions | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 7 | The Method of Substitution in Definite integrals, Partial Integration in Definite integrals | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 9 | Areas of Plane Regions, Areas Between Two Curves | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 10 | Mid-Term Exam | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 11 | Volume Calculation, Volumes of Solids of Revolution, Other Volumes by Slicing | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 12 | Mean Value Theorem, Arc Length, Areas of Surface of Revolution | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 13 | Three-Dimensional Coordinate System, Functions of Several Variables, Functions of Two Variables | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 14 | Partial Derivatives, High Order Partial Derivatives, Total Differential, Composite Functions Derivatives, Implicit Differentiation | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 15 | Double integrals, Double Integral Calculus, Properties of Double Integral | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Exam | Ölçme Yöntemleri: Performans Değerlendirmesi |
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 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||