At the end of this course, the students; 1) Will develop their skills for mathematical thinking and problem solving. 2) Will develop positive attitudes towards mathematics in general and related fields. 3) Will comprehend the mathematical and conceptual logic beneath the mathematical computations. 4) Will construct right and effective problem solving algorithms. 5) Will explain the frequently used concepts like ratio, proportion, probability, etc. used in statistics courses and use this knowledge to solve various problems. 6) Will define numbers and number systems.

MODE OF DELIVERY

Face to face

PRE-REQUISITES OF THE COURSE

No

RECOMMENDED OPTIONAL PROGRAMME COMPONENT

None

COURSE DEFINITION

This course deals with the mathematical thinking and problem solving skills. Solution algorithms, probability, and systems concepts such as numbers, in addition to the basic math, logic, thought, the evolution of the production of scientific knowledge, propositional algebra, algebra of sets, functions, and the paradoxes of issues such as the concept of eternity are the subjects of the course.

COURSE CONTENTS

WEEK

TOPICS

1^{st} Week

Propositions

2^{nd} Week

Algebra of Propositions

3^{rd} Week

Sets

4^{th} Week

Relations

5^{th} Week

Types of Relations

6^{th} Week

Functions

7^{th} Week

Types of Functions

8^{th} Week

Mid-Term Exam

9^{th} Week

Matrices

10^{th} Week

Determinants

11^{th} Week

Permutation and Combination

12^{th} Week

Sample Spaces and Events

13^{th} Week

Probability

14^{th} Week

Conditional Probability

RECOMENDED OR REQUIRED READING

Karaçay, T. (2016). Soyut matematik akıl yürütmenin başlangıcı (2nd ed.). Ankara: Seçkin Yayıncılık. Demana, F., Waits, B., Foley, G., Kennedy, D., & Bock, D. (2018). Precalculus: Graphical, numerical, algebraic (10th ed.). USA: Pearson.

PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture,Questions/Answers

ASSESSMENT METHODS AND CRITERIA

Quantity

Percentage(%)

Mid-term

1

40

Quiz

1

10

Total(%)

50

Contribution of In-term Studies to Overall Grade(%)

50

Contribution of Final Examination to Overall Grade(%)

50

Total(%)

100

ECTS WORKLOAD

Activities

Number

Hours

Workload

Midterm exam

1

1

1

Preparation for Quiz

1

7

7

Individual or group work

14

5

70

Preparation for Final exam

1

30

30

Course hours

14

3

42

Preparation for Midterm exam

1

20

20

Laboratory (including preparation)

Final exam

1

1

1

Homework

Total Workload

171

Total Workload / 30

5,7

ECTS Credits of the Course

6

LANGUAGE OF INSTRUCTION

English

WORK PLACEMENT(S)

No

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)