Course Code:
MATH 101
Course Period:
Autumn
Course Type:
Core
P:
3
Lab:
2
Credits:
4
ECTS:
7
Course Language:
İngilizce
Course Objectives:
To teach the usage of analytical tools for mathematical thinking.
Course Content:

Propositional and predicate calculus. Introduction to logic. Methods of proof. Axioms of set theory. Cartesian product, relations and functions. Partial and total orderings. Zorn's lemma. Cardinality, finite, countable and uncountable sets. Arithmetic of cardinals and ordinals.

Course Methodology:
1: Lecture, 2: Problem Solving, 3:Question-answer, 4: Homework
Course Evaluation Methods:
A: Written examination, B: Homework

## Vertical Tabs

### Course Learning Outcomes

 Learning Outcomes Program Learning Outcomes Teaching Methods Assessment Methods 1) Thinks like a mathematician. 1,2,3,4 A 2) Applies laws of logic in reasoning. 1,2,3,4 A 3) Tests the validity of an argument by using laws of logic. 1,2,3,4 A 4) Identifies the properties of a given function, relation or an ordering. 1,2,3,4 A 5) Understands that there are different sizes of infinity. 1,2,3,4 A 6) Applies set theory axioms to deduce results about denumerable and uncountable sets. 1,2,3,4 A

### Course Flow

 COURSE CONTENT Week Topics Study Materials 1 Basic connectives and truth tables Textbook 2 Logical equivalence: The laws of logic Textbook 3 Logical implication: The rules of inference Textbook 4 The use of quantifiers Textbook 5 Formal thinking: Methods of proof Textbook 6 Sets, operations on sets Textbook 7 Ordered pairs and Cartesian product Textbook 8 Relations Textbook 9 Ordering relations Textbook 10 Equivalence relations Textbook 11 Functions Textbook 12 Equinumerous  sets, Finite sets Textbook 13 Countable sets Textbook 14 Uncountable sets Textbook

### Recommended Sources

 RECOMMENDED SOURCES Textbook Intro. to Mathematical Structures, Steven Galovich. HBJ Additional Resources

### Material Sharing

 MATERIAL SHARING Documents Assignments Exams

### Assessment

 ASSESSMENT IN-TERM STUDIES NUMBER PERCENTAGE Mid-terms 2 100 Quizzes - - Assignments - - Total 100 CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE 40 CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE 60 Total 100

### Course’s Contribution to Program

 COURSE'S CONTRIBUTION TO PROGRAM No Program Learning Outcomes Contribution 1 2 3 4 5 1 The ability to make computation on the basic topics of mathematics such as limit, derivative, integral, logic, linear algebra and discrete mathematics which provide a basis for the fundamenral research fields in mathematics (i.e., analysis, algebra, differential equations and geometry) x 2 Acquiring fundamental knowledge on fundamental research fields in mathematics x 3 Ability form and interpret the relations between research topics in mathematics x 4 Ability to define, formulate and solve mathematical problems x 5 Consciousness of professional ethics and responsibilty x 6 Ability to communicate actively x 7 Ability of self-development in fields of interest x 8 Ability to learn, choose and use necessary information technologies x 9 Lifelong education x

### ECTS

 ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION Activities Quantity Duration (Hour) Total Workload (Hour) Course Duration (14x Total course hours) 14 5 70 Hours for off-the-classroom study (Pre-study, practice) 14 5 70 Mid-terms (Including self study) 2 10 20 Quizzes - - - Assignments - - - Final examination (Including self study) 1 15 15 Total Work Load 175 Total Work Load / 25 (h) 7 ECTS Credit of the Course 7