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Syllabus ( MATH 105 )


   Basic information
Course title: Finite Mathematics
Course code: MATH 105
Lecturer: Prof. Dr. Nuri ÇELİK
ECTS credits: 7
GTU credits: 5 ()
Year, Semester: 1, Fall
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: Turkish
Mode of delivery: Face to face
Pre- and co-requisites: none
Professional practice: No
Purpose of the course: To learn the basic mathematical tools for business, economics and social sciences
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Relate mathematics to other disciplines

    Contribution to Program Outcomes

    1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
    2. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
  2. Develop mathematical brainstorming skills

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
  3. Develop mathematical skills

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Preliminaries; sets, numbers, real numbers, absolute value, intervals, Cartesian system
Week 2: Functions; linear functions and line equations, quadratic polynomials and parabolas
Week 3: Linear inequalities, second order inequalities, representing the solution on the real axis
Week 4: Systems of Linear Equations; Elimination Method
Week 5: Matrices; Basic operations on matrices, inverse matrix
Week 6: Systems of Linear Equations and Matrices; Gauss - Jordan method
Week 7: Systems of Linear Equations and Matrices; Inverse matrix method
Week 8: Solving a system of linear inequalities, solution by graphing
Week 9: Linear Programming; examples of linear optimization problems, problem setting
Week 10: Linear Programming; solving linear optimization problems by graphs
Week 11: Functions; polynomials, rational functions, basic trigonmetric functions and their graphs

Week 12: Functions; one-to-one and onto functions, even and odd functions, inverse functions
Week 13: Elementary Functions
Week 14: Exponential and logarithmic functions
Week 15*: -
Week 16*: Final exam
Textbooks and materials:
Recommended readings: Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, by R. A. Barnett, M. R. Ziegler, K. E. Byleen, 13th ed., Prentice-Hall
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 10 40
Other in-term studies: 0
Project: 0
Homework: 0
Quiz: 0
Final exam: 16 60
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 4 14
Own studies outside class: 0 0
Practice, Recitation: 2 14
Homework: 0 0
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 5 10
Mid-term: 2 1
Personal studies for final exam: 9 4
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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