Course Code:
EDEM 208
Course Period:
Spring
Course Type:
Core
P:
2
Credits:
2
ECTS:
3
Course Language:
İngilizce
Course Objectives:
The aim of this course is both to discuss and solve problems about fundamental principle of counting, permutation, combination and probability.
Course Content:
 Fundamental principle of counting; permutation concept and its applications; combination concept and its applications; binomial theorem, concept of probability, fundamental terms related to probability and probability axioms; conditional probability and Bayes’ theorem; problems of geometric probability; concept of random variable; probability function, probability frequency function; expectation and variance of random variables; moment-generating functions and moments; some discrete distributions Bernoulli, binomial, geometric, hypergeometric, Poisson distribution; some continuous distributions, regular distribution, exponential  distribution, normal distribution and their properties.

Course Methodology:
1. Lecture 2. Case study 3. Discussion 4. Demonstration 5. Group work 6. Microteaching 7. Problem solving
Course Evaluation Methods:
A. Supply type B. Multiple-choice test C. Incomplete D. True-False E. Oral exam F. Portfolio G. Performance type H. Report

## Vertical Tabs

### Course Learning Outcomes

 Learning Outcomes Program Outcomes Teaching Methods Assessment Methods 1) Explains fundamental principle of counting. 1 1 A, E 2) Explains permutation and solves problems about permutation. 1, 3, 4 1, 7 A, E 3) Explains combination and solves problems about combination. 1, 3, 4 1, 7 A, E 4) Explains binomial expansion and makes exercises. 1, 3, 4 1, 7 A, E 5) Explains probability and types of probability. 1 1 A, E 6) Solves probability problems. 1, 3, 4 1, 7 A, E 7) Explains characteristics of probability function and solves related problems. 1, 3, 4 1, 7 A, E 8) Explains discrete and continuous distribution and solves related problems. 1, 3, 4 1, 7 A, E

### Course Flow

 COURSE CONTENT Week Topics Study Materials 1 Fundamental principle of counting 2 Permutation 3 Permutation 4 Combination 5 Combination 6 Binomial expansion 7 Probability 8 Midterm 9 Probability 10 Probability 11 Random variables 12 Discrete distributions 13 Continuous distributions 14 Problems

### Recommended Sources

 RESOURCES Compulsory Probability & Statistics for Engineers and Scientists, R.E. Walpole, R.H. Myers, S.L. Myers, and K. Ye, 8th Edition, Prentice Hall, 2007 Recommended

### Material Sharing

 COURSE MATERIALS Documents Assignments Exams Midterm, quizzes, final exams

### Assessment

 ASSESSMENT IN-TERM STUDIES Quantity Percentage Midterm 1 40 Final 1 40 Quiz 2 20 Total 100 Contribution of Final Exam to Overall Grade 40 Contribution of In-term Studies to Overall Grade 60 Total 100

### Course’s Contribution to Program

 COURSE CONTRIBUTION TO PROGRAM OUTCOMES No Program Outcomes Level of contribution 1 2 3 4 5 1 Knows historical, cultural and scientific developments of the mathematical concepts covered in elementary school mathematics curriculum X 2 Applies fundamental mathematical and geometric concepts into other disciplines and real life situations X 3 Applies mathematical processes (e.g. problem solving, proving theorems, etc.) into given cases accurately. X 4 Plans for mathematics teaching process in line with the elementary school curriculum’s vision, philosophy and goals X 5 Uses teaching strategies and techniques that are appropriate for students’ age, grade level, individual differences and readiness level X 6 Determines and applies appropriate strategies and materials to foster and evaluate students’ mathematical thinking skills. X 7 Uses and develops appropriate resources and materials to teach mathematics X 8 Monitors students’ learning process, development and achievement and assesses them by using appropriate assessment tools X 9 Improves professional knowledge by following recent issues in mathematics education X 10 Contributes to the development of mathematics education by doing scientific research X

### ECTS

 ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION Activities Quantity Duration (Hour) Total Workload (Hour) Course hours (including the exam week: 15 x total course) 15 2 30 Hours for off-the-classroom study (pre-study, practice) 15 1 15 Midterm 1 10 10 Quiz 2 5 10 Final 1 10 10 Total Workload 75 Total Workload / 25 (hours) 3 ECTS 3