BMM202 Advanced Engineering Mathematics 2

4 ECTS - 3-0 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code BMM202
Name Advanced Engineering Mathematics 2
Term 2024-2025 Academic Year
Semester 4. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 4 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Label C Compulsory
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. MUSTAFA KEREM ÜN
Course Instructor
1 2
Prof. Dr. MUSTAFA KEREM ÜN (A Group) (Ins. in Charge)


Course Goal / Objective

To teach the student partial differential equations and complex analysis that are among the fundamental topics of applied mathematics

Course Content

Partial differential equations; heat, wave and Laplace equations, complex numbers, complex integration, Laurent series, rezidue

Course Precondition

None.

Resources

Lecture Notes

Notes

None.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Grasps the use and logic of PDE's
LO02 Applies separation of variables
LO03 Speculates on how a given PDE changes under differing conditions
LO04 Applies complex algebra.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Have sufficient knowledge in mathematics, natural sciences, and biomedical engineering, along with the ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Acquire the ability to identify, formulate, and solve complex Biomedical Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. 5
PLO03 Bilgi - Kuramsal, Olgusal The ability to design a complex system, process, device, or product in Biomedical Engineering under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose.
PLO04 Bilgi - Kuramsal, Olgusal The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in Biomedical Engineering applications; the ability to use information technologies effectively.
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics in Biomedical Engineering.
PLO06 Bilgi - Kuramsal, Olgusal The ability to work effectively in intra-disciplinary (Biomedical Engineering) and multi-disciplinary teams; ability to work individually.
PLO07 Beceriler - Bilişsel, Uygulamalı The ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports in Biomedical Engineering and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions.
PLO08 Beceriler - Bilişsel, Uygulamalı Get awareness of the necessity of lifelong learning; the ability to access information in the field of Biomedical Engineering, to follow developments in science and technology, and the ability to constantly self-renewal.
PLO09 Yetkinlikler - Öğrenme Yetkinliği Acting following ethical principles, professional and ethical responsibility in the field of Biomedical Engineering, and knowledge of the standards used in engineering practice.
PLO10 Yetkinlikler - Öğrenme Yetkinliği Knowledge of project management and practices in the field of Biomedical Engineering, such as risk management and change management; awareness about entrepreneurship, innovation, and sustainable development.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Understanding the universal and societal impacts of Biomedical Engineering applications on health, environment, and safety; awareness of the legal implications of Biomedical Engineering solutions.
PLO12 Bilgi - Kuramsal, Olgusal Understanding of biology and physiology.
PLO13 Beceriler - Bilişsel, Uygulamalı Ability to make measurements on living systems and interpret data collected from these measurements.
PLO14 Bilgi - Kuramsal, Olgusal Ability to solve problems related to the interactions between living and nonliving materials and systems.


Week Plan

Week Topic Preparation Methods
1 An introduction to the class Reading lecture materials
2 Introduction to partial differential equations, basic concepts Reading lecture materials
3 Orthogonal functions, Fourier series, Fourier transform Reading lecture materials
4 Fourier law of heat conduction, heat equation Reading lecture materials
5 Solution to heat equation under different conditions Reading lecture materials
6 Wave equation, D'alembert solution Reading lecture materials
7 Laplace equation Reading lecture materials
8 Mid-Term Exam Reading lecture materials
9 Introduction to complex numbers, basic concepts Reading lecture materials
10 Complex functions Reading lecture materials
11 Complex functions - 2 Reading lecture materials
12 Complex integration Reading lecture materials
13 Complex integration - 2 Reading lecture materials
14 Taylor and Laurent series Reading lecture materials
15 Final Exam Reading lecture materials
16 Term Exams Review of the course material, solving exercise questions
17 Term Exams Review of the course material, solving exercise questions


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 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 7 7
Final Exam 1 18 18
Total Workload (Hour) 109
Total Workload / 25 (h) 4,36
ECTS 4 ECTS

Update Time: 03.01.2025 07:54