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MAT1007 GENERAL MATHEMATICS 4+0+0 ECTS:6
Year / Semester First Year / Fall Semester
Level of CourseFirst Cycle
StatusCompulsory
DepartmentURBAN AND REGIONAL PLANNING
Prerequisites and co-requisites None
Mode of DeliveryFace to face
Contact hours14 weeks - 4 hours of lectures per week
LecturerLECTURER Hasan KELEŞ
Co-LecturerLECTURER HASAN KELEŞ,
Language of instruction Turkish
Professional practise ( internship )None
 
Objectives of the Course
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.

 

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.

 Week 15

Application of determinants

 Week 16

End-of-term exam

 

Textbook / Material

1Keleş, H., 2015, Genel ve Çözümlü Matematik-I-, Trabzon.

 

Recommended Reading

1Keleş, H., 2015, Lineer Cebire Giriş-I-, Trabzon.

2Balcı,M.2009.Genel matematik 1,Balcı Yayınları,Ankara.

 

Method of Assessment

Type of assessment

Week No

Date

Duration (hours)

Weight (%)

Mid-term exam

9

14/11/2017

1,5

50

In-term studies (second mid-term exam)

1

End-of-term exam

16

02/01/2018

2

50

 

Student Work Load and its Distribution

Type of work

Duration (hours pw)

No of weeks / Number of activity

Hours in total per term

Lectures (face to face teaching)

4

14

56

Own (personal) studies outside class

2

14

28

Laboratory studies

0

0

0

Own study for first mid-term exam

3

8

24

Mid-term exam

2

1

2

Practice

0

0

0

Clinic Practice

0

0

0

Homework

0

0

0

Project

0

0

0

Quiz

0

0

0

Own study for final exam

3

7

21

End-of-term exam

2

1

2

Other 1

0

0

0

Other 2

0

0

0

Total work load

133