MATH 107 | Course Introduction and Application Information

Course Name
Introduction to Mathematics and Statistics
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 107
Fall
3
0
3
6

Prerequisites
None
Course Language
English
Course Type
Required
Course Level
First Cycle
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives This course aims to provide basic concepts of Mathematics such as functions, sets, matrices. Students will learn several mathematical and statistical concepts, methods and procedures used in social sciences, including matrices, functions, statistics, probability, estimation, hypothesis testing. The course demonstrates how mathematical and statistical methods can serve to provide tools for improving managerial decision skills.
Learning Outcomes The students who succeeded in this course;
  • will be able to use properties of sets and set operations
  • will be able evaluate basic probabilities by using permutations and combinations.
  • will be able to understand and sketch the graph of basic functions. To be able to determine inverse and transpose of a matrix and linear equations and algebric operations on matrices.
  • will be able to understand fundamental elements of Statistics and Types of Data.
  • will be able to understand fundamental elements of Probability Theory; Sample spaces, Assignment of Probabilities, Events, Mutually exclusive events, Conditional probability, Independent events.
Course Content Sets, functions, matrices, introduction to statistics, data types and collecting data, permutation, combination, probability function, random variable, their expected values and variances and distribution fuctions.

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Critical thinking skills: Inductive Reasoning; Estimation; Problem Solving. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson
2 Sets; Introduction to sets, Subset, Proper Subset; Universal Set; Operations on sets, Ven Diagrams; Complement of a set; De Morgan's properties; The number of elements in a set. Applications od sets. Infinite sets. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
3 Logic: Statements and Logical Connectives; Truth Tables for Negation, Conjunction, and Disjunction; Truth Tables for Conditional and Biconditional; Equivalent Statements; Symbolic Arguments; Euler Diagrams and Syllogistic Arguments; Switching Circuits. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
4 Algebra, Graphs, and Functions: Order of Operations; Linear equations in one variables; Linear Inequalities; Lines; The graph of an equation; Intercepts; Equation of a vertical line; Slope of a line; Point slope form of an equation of a line; Equation of a horizontal line; Slope Intercept form of an equation of a line. Pairs of lines; Coincident lines (Theorem); Parallel lines; Intersecting lines. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
5 Graphing Linear Equations; Linear Inequalities in two variables; Solving quadratic equations by using factoring and by using the quadratic formula. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
6 Mappings and functions; Mappings, The domain and image sets. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
7 Graphs of functions Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
8 Constant functions, quadratic functions, exponential function. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
9 Introduction to probability; Theoretic Probability; ODDS; Expected Value; Sample spaces, Assignment of probabilities; properties of the probability of an event. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
10 OR and AND problems, Independent events, Conditional Probability, The counting principle. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
11 Introduction to Statistics: Data and Sampling; The Misuses of Statistics. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
12 Frequency distributions, Statistical graphs; Measures of Central Tendency; Measures of Dispersion. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
13 The normal curve. Normal distribution. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
14 Voting and Apportionment: Voting Methods; Flaws of Voting; Apportionment Methods; Flaws of the Apportionment Methods. Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson.
15 Review
16 Review of the Semester

 

Course Textbooks

Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. S Lipschutz, “3000 solved problems in linear algebra”; McGrow Hill.

References “Calculus for Business, Economics, Life Sciences, and Social Sciences” by R.A. Barnett, M.R. Zie gler, K.E. Byleen, Prentice Hall

 

EVALUATION SYSTEM

Semester Requirements Number Percentage
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
5
20
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Portfolios
Midterms / Oral Exams
1
30
Final / Oral Exam
1
50
Total

Contribution of Semester Work to Final Grade
6
50
Contribution of Final Work to Final Grade
1
50
Total

ECTS / WORKLOAD TABLE

Activities Number Duration (Hours) Workload
Course Hours
Including exam week: 16 x total hours
16
3
48
Laboratory / Application Hours
Including exam week: 16 x total hours
16
Study Hours Out of Class
16
3
Field Work
Quizzes / Studio Critiques
5
5
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Portfolios
Midterms / Oral Exams
1
20
Final / Oral Exam
1
40
    Total
181

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Qualifications / Outcomes
* Level of Contribution
1
2
3
4
5
1 Successfully applies theoretical and practical knowledge and skills in Culinary Arst and Management
2 Professionally applies artistic knowledge and skills that are required in the field of Culinary Arts
3 Carries best practices in terms of work and food security, safety and hygiene in food production
4 Appreciates, evaluates and makes decisions regarding to visual, textual and nutritional data with respect to food production and presentation
5 Recognizes and evaluates the impact of gastronomy on culture and society
6 Possesses visual thinking skils and effectively conveys visual concepts
7 Assumes responsibility for solving complex problems that may occur in the field of Culinary Arts and management, both individually and as a team member
8 Initiates culinary projects and can assume leadership for success
9 Critically evaluates the knowledge and skills possessed in Culinary Arts and Management, defines learning requirements and directs own learning X
10 Informs individuals and organizations on topics related to Culinary Arts and Management and effectively conveys opinions in verbal or written ways
11 Shares opinions with experts or nonexperts by supporting them with quantitative and qualitative data
12 Possesses necessary knowledge and skills in relevant fields such as gastronomy, design and management and effectively applies them to the practice of Culinary Arts X
13 Follows the developments in field and communicates with colleguages by fleuntly using a foreign language
14 Speaks a second foreign language in intermediate level
15 Effectively uses technological equipment related to the field
16 Possesses ethical values in the field of Culinary Arts and Management

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest