TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| COMPUTER ENGINEERING PR. (ENGLISH) | |
| Code | CEN106 |
| Name | Mathematics 2 |
| Term | 2019-2020 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ŞEHMUS FINDIK |
| Course Instructor |
Prof. Dr. ŞEHMUS FINDIK
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student the topics of infinite series, functions of several variables, multiple integrals and integral theorems, which are the main topics of engineering mathematics, in a functional integrity.
Course Content
Sequence and series of numbers, power series, Taylor series. Quadratic curves, polar coordinates. Analytic geometry in R , vector functions. Functions of several variables, partial derivatives, minimum and maximum problems. Multiple integrals and applications. Line integral, Green's theorem. Surface integral, divergence theorem, Stokes' theorem.
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Analyzes infinite series in conjuction with convergence and divergence concepts |
| LO02 | Derives the Taylor-Maclaurin expansion of a given function. |
| LO03 | Calculates and comments on the partial derivatives of multivariable functions. |
| LO04 | Calculates multiple integrals, |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 5 |
| PLO02 | - | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | 4 |
| PLO03 | - | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | 4 |
| PLO04 | - | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | 0 |
| PLO05 | - | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | 0 |
| PLO06 | - | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | 0 |
| PLO07 | - | Can access information,gains the ability to do resource research and uses information resources | 0 |
| PLO08 | - | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 0 |
| PLO09 | - | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | 0 |
| PLO10 | - | Professional and ethical responsibility, | 0 |
| PLO11 | - | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | 0 |
| PLO12 | - | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Integral applications, arc length, volume and surface area calculation | Reading the lecture notes | |
| 2 | Parametric curves | Reading the lecture notes | |
| 3 | Polar coordinates, polar curves | Reading the lecture notes | |
| 4 | Infinite series, convergence tests | Reading the lecture notes | |
| 5 | Convergence tests (continued) | Reading the lecture notes | |
| 6 | Taylor and Maclaurin expansions, Taylor approximation | Reading the lecture notes | |
| 7 | Introduction to multivariable functions, partial derivatives and the chain rule | Reading the lecture notes | |
| 8 | Mid-Term Exam | Reading the lecture notes | |
| 9 | Double integrals over general regions | Reading the lecture notes | |
| 10 | Triple integrals, change of variables in multiple integrals | Reading the lecture notes | |
| 11 | Double and triple integrals in polar coordinates | Reading the lecture notes | |
| 12 | Surface area calculation, line integrals | Reading the lecture notes | |
| 13 | Surface integrals, Green's theorem | Reading the lecture notes | |
| 14 | Stokes and Divergence theorems | Reading the lecture notes | |
| 15 | FINAL | Reading the lecture notes | |
| 16 | Term Exams | Reading the lecture notes | |
| 17 | Term Exams | Reading the lecture notes |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 20 |
| 1. Final Exam | - | 80 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| 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 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||