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Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMM103 |
| Name | Calculus I |
| Term | 2018-2019 Academic Year |
| Semester | 1. 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
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity.
Course Content
Introduction to the types of functions and drawing of graphics. Limit. Derivative, definition of the derivative, geometric and physical interpretation of the derivative. Definition of integral, indefinite and definite integral calculation.
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Identifies every function, draw their graphics. |
| LO02 | Comprehends the limit concept and evaluates limits. |
| LO03 | Grasps the geometical and physical meaning of derivative, writes the derivative definition, defines the derivative rules based on this definition, evaluates the derivative of any function. |
| LO04 | Defines definite integral, evaluates indefinite integrals using appropriate methods. |
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. | 0 |
| PLO03 | - | 1. Analyse data and interpret results | 0 |
| PLO04 | - | 1. Utilize modern techniques and computing tools which are essential for Engineering applications | 0 |
| PLO05 | - | 1. Design and analyse a defined process 2. Recognise national and international problems for Biomedical Engineering | 0 |
| PLO06 | - | Understand the research problems of medical doctor with engineering perspective | 1 |
| PLO07 | - | 1. Describe the ideas clearlywith written and verbally 2. Have the interdisciplinary teamwork skills | 0 |
| PLO08 | - | 1. Have knowledge on calibration and quality assurance systems in Biomedical Engineering 2. Have the sense of responsibility and professional ethics | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions | Review of the relevant pages from sources | |
| 2 | Limit concept, limit definition | Review of the relevant pages from sources | |
| 3 | Limit at infinity, infinity as a limit, continuity | Review of the relevant pages from sources | |
| 4 | Tangent problem, derivative definition | Review of the relevant pages from sources | |
| 5 | Derivative rules, derivatives of trigonometric functions | Review of the relevant pages from sources | |
| 6 | Chain rule, higher order derivatives, implicit differentiation | Review of the relevant pages from sources | |
| 7 | Curve sketching, applied optimization problems | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | |
| 9 | Area problem, definite integral and its properties | Review of the relevant pages from sources | |
| 10 | Fundamental Theorem of Calculus, indefinite integral, substitution rule | Review of the relevant pages from sources | |
| 11 | Exponential and logarithmic functions | Review of the relevant pages from sources | |
| 12 | Inverse trigonometric functions, indeterminate limits and LHospital rule | Review of the relevant pages from sources | |
| 13 | Integration by parts, trigonometric integrals, trigonometric substitution | Review of the relevant pages from sources | |
| 14 | Integration of rational functions, rationalizing substitutions | 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 | 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 | 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 | ||