The aim of the course is to teach the basic mathematical techniques, introducing at the same time a number of mathematical skills which can be used for the analysis of problems. The emphasis is on the practical usability of mathematics; this goal is mainly pursued via a large variety of examples and applications from these disciplines.

Learning Outcomes

CTPO

TOA

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

LO - 1 :

The student will be able to teach the basic mathematical techniques

1,3,9,18,21

1

LO - 2 :

The student will be able to gain the basic mathematical skills

1,3,9,18,21

1

LO - 3 :

The student will be able to apply the basic mathematical skills to the vocational problems

1,3,5,9,18,21

1

CTPO : Contribution to programme outcomes, TOA : Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome

Contents of the Course

Real Numbers, Exponential And Power Terms, Absolute Value,Inequality, Analytic Investigation Of Lines,Single Value Functions, Kinds Of Functions And Its Graphs, Limits And Continuous, Derivative And Geometric Meaning Of Derivative, General Derivative Rules, Derivatives Of İnverse And Composition Functions. High Order Derivations, Increasing And Decreasing Functions, Concave And Convex Functions, Problems Of Maximum And Minimum., Asymptotes And Plots Of Graphs, Indefinite Integrals And Elemetary Integral Rules, Method Of Variable Change., Partial Integration, Separation Of Simple Fractions, Definite Integrals, Applications Of Areas Between Curves By Definite İntegral, Matrices, System of Linear Equations, Determinants, vectors, eigenvalues and eigenvectors.

Course Syllabus

Week

Subject

Related Notes / Files

Week 1

Real numbers, Exponential and Power terms, Absolute value,Inequalities.

Week 2

Analytic Investigation of lines,Functions

Week 3

Kinds of functions and its graphs

Week 4

Limits and Continuous

Week 5

Derivative and geometric meaning of derivative, general derivative rules, derivatives of inverse and composition functions.

Week 6

High order derivations, increasing and decreasing functions,

Week 7

Concave and convex functions,Problems of maximum and minimum.

Week 8

Asymptotes and Plots Of Graphs

Week 9

Mid-term exam

Week 10

Indefinite Integrals and Elemetary integral rules, Method of Variable Change.

Week 11

Definite Integrals, Applications of Areas Between Curves by definite integral.

Week 12

Matrices

Week 13

System of Linear Equations, Determinants.

Week 14

Determinants and applications.

Week 15

Vectors, eigenvalues and eigenvectors.

Week 16

End-of-term exam

Textbook / Material

1

Keleş, H., 2015, Genel ve Çözümlü Matematik-I-, Trabzon.

Recommended Reading

1

Keleş, H., 2015, Lineer Cebire Giriş-I-, Trabzon.

2

Balcı,M.2009.Genel matematik 1,Balcı Yayınları,Ankara.