BNG5030 Signals and Dynamic SystemsBahçeşehir UniversityDegree Programs MATHEMATICSGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
MATHEMATICS
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
BNG5030 Signals and Dynamic Systems Fall 3 0 3 12
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: English
Type of course: Non-Departmental Elective
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator : Prof. Dr. GÜLAY BULUT
Recommended Optional Program Components: None
Course Objectives: To build upon the essential concepts related to signals and dynamical systems by providing the underlying mathematical theory.

Learning Outcomes

The students who have succeeded in this course;
Upon completion of the course, students will
1. have a through understanding of representation of signals in in time and frequency domains and their relations,
2. be able to obtain various mathematical models of dynamical systems from each other,
3. be able to apply mathematical tools to obtain response of dynamical systems to various inputs.

Course Content

Analysis of discrete-time and continuous-time signals through Fourier, Laplace and z-transforms. Mathematical modeling of discrete-time and continuous-time dynamical systems in time and frequency domains. Interconnections of dynamical systems.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Representation of continuous-time and discrete-time signals.
2) Fourier analysis of continuous-time signals
3) Fourier analysis of discrete-time signals
4) The Laplace transform
5) The z-transform
6) Time-domain modeling of continuous-time systems by differential equations.
7) Frequency-domain modeling of continuous-time systems by Fourier and Laplace transforms.
8) Response of continuous-time systems to specific inputs.
9) Time-domain modeling of discrete-time systems by difference equations.
10) Frequency-domain modeling of discrete-time systems by Fourier and z transforms.
11) Response of discrete-time systems to specific inputs.
12) Sampled-data systems.
13) Interconnection of systems.
14) Feedback systems.
15) Review

Sources

Course Notes / Textbooks:
References: 1. M. C. K. Khoo: Physiological Control System, Wiley, 1999.
2. R.M. Rangayyan: Biomedical Signal Analysis: A Case-Study Approach, 2001.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Application 3 % 15
Homework Assignments 5 % 15
Midterms 1 % 30
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 3 14 42
Study Hours Out of Class 15 7 105
Homework Assignments 5 6 30
Midterms 1 10 10
Final 1 15 15
Total Workload 202

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) To have a grasp of basic mathematics, applied mathematics and theories and applications in Mathematics
2) To be able to understand and assess mathematical proofs and construct appropriate proofs of their own and also define and analyze problems and to find solutions based on scientific methods,
3) To be able to apply mathematics in real life with interdisciplinary approach and to discover their potentials,
4) To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself, 4
5) To be able to tell theoretical and technical information easily to both experts in detail and non-experts in basic and comprehensible way,
6) To be familiar with computer programs used in the fields of mathematics and to be able to use at least one of them effectively at the European Computer Driving Licence Advanced Level,
7) To be able to behave in accordance with social, scientific and ethical values in each step of the projects involved and to be able to introduce and apply projects in terms of civic engagement,
8) To be able to evaluate all processes effectively and to have enough awareness about quality management by being conscious and having intellectual background in the universal sense, 4
9) By having a way of abstract thinking, to be able to connect concrete events and to transfer solutions, to be able to design experiments, collect data, and analyze results by scientific methods and to interfere,
10) To be able to continue lifelong learning by renewing the knowledge, the abilities and the competencies which have been developed during the program, and being conscious about lifelong learning,
11) To be able to adapt and transfer the knowledge gained in the areas of mathematics ; such as algebra, analysis, number theory, mathematical logic, geometry and topology to the level of secondary school,
12) To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively.