The goal of this course is teaching students how to work with abstract mathematical structures, how to think logically and mathematically, how to read and construct mathematical arguments, how to apply the techniques of counting and enumeration, and how to think algorithmically. The course is aiming at increasing the problem-solving skills of the students using discrete mathematical methodology.
Prerequisite(s)
None
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Dr.Ögr.Üyesi İsmail KOÇ
Course Assistant(s)
Res. Assis. Arda ARŞIK
Schedule
Lecture: Wednesday 09:00 – 11:00 (Sec. A, B) ve 11:00 – 13:00 (Sec. C, D)
Lab: Monday 09:00 – 10:50 (Sec. A), 11:00 – 12:50 (Sec. B), 14:00 – 15:50 (Sec. C) 16:00 – 17:50 (Sec. D)
Office Hour(s)
İsmail Koç Wednesday 15:00-17:00 2A09
Teaching Methods and Techniques
Interactive classroom lectures
Problem solving sessions
Quizzes
Principle Sources
Discrete Mathematics and Its Applications, 8th Edition, Kenneth H. Rosen
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
PO-2
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
PO-3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
PO-4
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language.
PO-8
Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO-9
Awareness of professional and ethical responsibility.
PO-10
Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
PO-11
Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO-1
Solves logic, proof, inference, and induction problems.
LO-2
Knows number theory, prime numbers, their usage, related theorems, and their application to RSA encryption.
LO-3
Solves counting problems.
LO-4
Knows Probability and Bayes theorems, explains expected value and variance.
LO-5
Knows sequences, summations, functions, relations as well as their properties and related theorems.
