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Year/Semester of Study | 2 / Spring Semester | ||||
Level of Course | 1st Cycle Degree Programme | ||||
Type of Course | Compulsory | ||||
Department | DEPARTMENT OF COMPUTER ENGINEERING | ||||
Pre-requisities and Co-requisites | None | ||||
Mode of Delivery | Face to Face | ||||
Teaching Period | 14 Weeks | ||||
Name of Lecturer | EBUBEKİR KAYA (ebubekir@nevsehir.edu.tr) | ||||
Name of Lecturer(s) | EBUBEKİR KAYA, | ||||
Language of Instruction | Turkish | ||||
Work Placement(s) | None | ||||
Objectives of the Course | |||||
To learn a particular set of mathematical facts and how to apply them and how to think mathematically. |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 | Öğrenci, matematiksel model oluşturmanın temellerini öğrenecektir. |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. PO-15 Students will be able to design a system or process to meet the desired needs. |
Examination |
LO-2 | Öğrenci, matematiksel kavramları ve terminoloji öğrenecektir. |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. |
Examination |
LO-3 | The student will know how to analyze recursive definitions, and how to use it. |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-7 Students gain the ability to identify, define, formulate and solve problems specific to Computer Engineering. |
Examination |
LO-4 | The student will understand how to use different types of discrete structures. |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-15 Students will be able to design a system or process to meet the desired needs. |
Examination |
LO-5 | The student will know how to perform mathematical proofs. |
PO-4 Students gain the ability to apply knowledge of mathematics, science and engineering. PO-5 Students gain the ability to define, model, formulate and solve general engineering problems. PO-15 Students will be able to design a system or process to meet the desired needs. |
Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
Logic; Sets and Functions; Fundamentals of Algorithms; Integers and matrices; Counting Techniques; Chromatics Polinomials; Graphs; Trees; Boolean Algebra; Finite-State Machine with/without Output | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | Basic concepts, logic, sets | Explaining, Question-answer, Problem Solving, Practice |
2 | Boolean algebra, Boole functions, logic gates | Explaining, Question-answer, Problem Solving, Practice |
3 | Functions, algorithms | Explaining, Question-answer, Problem Solving, Practice |
4 | Relations, properties, representation of relations | Explaining, Question-answer, Problem Solving, Practice |
5 | Integers, matrices | Explaining, Question-answer, Problem Solving, Practice |
6 | Proof methods, induction, recursive algorithms | Explaining, Question-answer, Problem Solving, Practice |
7 | Counting principals, permutation, combination | Explaining, Question-answer, Problem Solving, Practice |
8 | mid-term exam | |
9 | Counting principals, recursive functions | Explaining, Question-answer, Problem Solving, Practice |
10 | Recursive functions, solving methods | Explaining, Question-answer, Problem Solving, Practice |
11 | Graph theory, general graph concepts, isomorphism | Explaining, Question-answer, Problem Solving, Practice |
12 | Problems | Explaining, Question-answer, Problem Solving, Practice |
13 | Trees, general concepts, sorting trees | Explaining, Question-answer, Problem Solving, Practice |
14 | Modelling, finite state machines, turing machine | Explaining, Question-answer, Problem Solving, Practice |
15 | turing machine | Explaining, Question-answer, Problem Solving, Practice |
16 | final exam | |
Recommend Course Book / Supplementary Book/Reading | ||
1 | Discrete Mathematics and Its Applications, Kenneth H. Rosen, McGraw-Hill | |
2 | Discrete Mathematics, R. Johnsonbaugh, Prentice Hall | |
3 | Discrete Mathematics, Kenneth A. Ross, Prentice Hall | |
Required Course instruments and materials | ||
Discrete Mathematics and Its Applications, Kenneth H. Rosen, McGraw-Hill Discrete Mathematics, R. Johnsonbaugh, Prentice Hall Discrete Mathematics, Kenneth A. Ross, Prentice Hall |
Assessment Methods | |||
Type of Assessment | Week | Hours | Weight(%) |
mid-term exam | 8 | 1 | 40 |
Other assessment methods | |||
1.Oral Examination | |||
2.Quiz | |||
3.Laboratory exam | |||
4.Presentation | |||
5.Report | |||
6.Workshop | |||
7.Performance Project | |||
8.Term Paper | |||
9.Project | |||
final exam | 16 | 1 | 60 |
Student Work Load | |||
Type of Work | Weekly Hours | Number of Weeks | Work Load |
Weekly Course Hours (Theoretical+Practice) | 3 | 14 | 42 |
Outside Class | |||
a) Reading | 13 | 4 | 52 |
b) Search in internet/Library | 0 | ||
c) Performance Project | 0 | ||
d) Prepare a workshop/Presentation/Report | 0 | ||
e) Term paper/Project | 0 | ||
Oral Examination | 0 | ||
Quiz | 0 | ||
Laboratory exam | 0 | ||
Own study for mid-term exam | 1 | 12 | 12 |
mid-term exam | 1 | 1 | 1 |
Own study for final exam | 1 | 12 | 12 |
final exam | 1 | 1 | 1 |
0 | |||
0 | |||
Total work load; | 120 |