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Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMM104 |
| Name | Calculus II |
| 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 | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ |
| Course Instructor |
Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ
(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
Integral applications, volumes and areas of surfaces of revolution, arc length. Parametric equations and curves, polar coordinates. Infinite sequences and series, convergence tests, power series, Taylor and Maclaurin series, approximation with Taylor polynomials. Functions of several variables, partial derivatives. Double and triple integrals, change of variables, integrals over polar coordinates. Surface area, line integrals, Green theorem, surface integrals, divergence theorem, Stokes theorem.
Course Precondition
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, line and surface integrals |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | 1. Solve the scientific problems encountered in medicine and medical technologies by applying technical approaches of disciplines. 2. Self development on science and technology issues. 3. Assess the contributions of engineering solutions on medicine, medical technologies and healthcare | 3 |
| PLO02 | - | 1. Define the problems about Biomedical Engineering 2. Modelling the problems about Biomedical Engineering. | 3 |
| PLO03 | - | 1. Analyse data and interpret results | 4 |
| PLO04 | - | 1. Utilize modern techniques and computing tools which are essential for Engineering applications | 4 |
| PLO05 | - | 1. Design and analyse a defined process 2. Recognise national and international problems for Biomedical Engineering | 5 |
| PLO06 | - | Understand the research problems of medical doctor with engineering perspective | 3 |
| PLO07 | - | 1. Describe the ideas clearlywith written and verbally 2. Have the interdisciplinary teamwork skills | 4 |
| PLO08 | - | 1. Have knowledge on calibration and quality assurance systems in Biomedical Engineering 2. Have the sense of responsibility and professional ethics | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Integral applications, arc length, volume and surface area calculation | Review of the relevant pages from sources | |
| 2 | Parametric curves | Review of the relevant pages from sources | |
| 3 | Polar coordinates, polar curves | Review of the relevant pages from sources | |
| 4 | Infinite series, convergence tests | Review of the relevant pages from sources | |
| 5 | Convergence tests (continued) | Review of the relevant pages from sources | |
| 6 | Taylor and Maclaurin expansions, Taylor approximation | Review of the relevant pages from sources | |
| 7 | Introduction to multivariable functions, partial derivatives and the chain rule | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | |
| 9 | Double integrals over general regions | Review of the relevant pages from sources | |
| 10 | Triple integrals, change of variables in multiple integrals | Review of the relevant pages from sources | |
| 11 | Double and triple integrals in polar coordinates | Review of the relevant pages from sources | |
| 12 | Surface area calculation, line integrals | Review of the relevant pages from sources | |
| 13 | Surface integrals, Greens theorem | Review of the relevant pages from sources | |
| 14 | Stokes and Divergence theorems | Review of the relevant pages from sources | |
| 15 | FINAL | Review of the topics discussed in the lecture notes and sources | |
| 16 | Term Exams | Review of the topics discussed in the lecture notes and sources | |
| 17 | Term Exams | Review of the topics discussed in the lecture notes and sources |
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 | ||