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
1st Week
Propositions
2nd Week
Algebra of Propositions
3rd Week
Sets
4th Week
Relations
5th Week
Types of Relations
6th Week
Functions
7th Week
Types of Functions
8th Week
Mid-Term Exam
9th Week
Matrices
10th Week
Determinants
11th Week
Permutation and Combination
12th Week
Sample Spaces and Events
13th Week
Probability
14th 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)