MM410E : measurement theory

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Elective

Credits

03

Prerequisite

MM303MM304

Overview

The course aims to introduce students to an introduction to Sets, countability, and the characteristic function. The episode also deals with the σ-type field, measurement, theories on measurement defined on (σ-Algebra), measurable space, measurement space, external measurement, and theories on external measurement. Measured Sets, measurement functions and spaces, and Leupige integration - applications.

Intended learning outcomes

By the end of the course, the student should be able to:

1. Recognize Sets, countability, and the distinguishing function.

2. Study the different types of algebra, the semi-ring, the field, the field loop of the σ pattern

3. Explain some measurement and theories on measurement defined on (Algebra σ), measurable space, external measurement.

4. Define and describe theorems of measure theory.

5. Explain the concepts of . Measured Sets, measurement functions and space, Lepage integration and their applications.

6. Infer an introduction to Sets, countability, and thedistinguishing function.

7. Study the different types of algebra, the semi-ring, the field, the field loop of the σ type,

8. Prove some theories related to measurement and theories on measurement defined on (Algebra σ), measurable space, external measurement.

9. Distinguish between theorems of measurement theory.

10. Explain and analyze theories on external measurement, measured Sets, measurement functions and space, Lepage integration, applications.

11. Solve a number of exercises and problems with more than one idea about groups, countability, distinguishing function.,

12. Study the different types of algebra, the semi-ring, the field, the field loop of the σ type,

13. Apply exercises and problems on theories related to measurement and theories on measurement defined on (Algebraσ), measurable space, and external measurement.

14. Prove some theories and theorems of measurement theory.

15. Provide solutions to new and different problems related to theories on external measurement, measured Sets, functions and space of measurement, Leupig integration, applications.

Teaching and learning methods

1. Practical and theoretical lectures

2. Discussion and dialogue

3. Brainstorming

4. Working papers, case study

5. presentations

6. Videos and e-learning

7. Use of software and computer applications such as (MATLAB, Geogebra, Geometer)

8. Intensifying applications, solving problems, and linking ideas to reality and life situations

Methods of assessments

1. A written exam = 25 marks, or its assessment is left to the course professor

2. .Short tests (written or oral), demonstration tasks, applications, exercises, and presentation = 15 marks or left to the course professor

3. Written final exam = 60 marks

Course content:

Week

Scientific topic

hours

Lectures

Exercises

1

Introduction to Sets

4

2

2

2

Countability, the distinguishing function

4

2

2

3

Studying the different types of jabour,

4

2

2

4

semi-ring ,field

4

2

2

5

First exam

5-6

field ring of patternσ

6

4

2

7

Measurement and theories on measurement knowledge on (Algebra).

4

2

2

8

measurable space.

4

2

2

9

external measurement.

4

2

2

10

Second exam

10-11

theories on external measurement.

6

2

2

12

measured Sets.

4

2

2

13

functions and space of measure

4

2

2

14

Lupage Integration, Applications

4

2

2

Final exam

Total

56

References

"Measure Integral and probability",written by: Marek Capinski ,Ekkehard Kopp

"Measurement theory",written by:Dr. Ghada Ali Shehadeh Al-Asadi

Arabic language 1 (AR103)
Linear Algebra 1 (MM105)
Planar and Analytical Geometry (MM103)
Quranic Studies 1 (AR101)
computer 1 (CS100)
General Mathematics 1 (MM101)
General English1 (EN100)
Fundamentals of Education (EPSY101)
General Psychology (EPSY 100)
Introduction to Statistics (ST101)
Quranic studies2 (AR102)
Aerospace Engineering (MM114)
General Mathematics 2 (MM102)
Linear Algebra (2) (MM215)
Developmental Psychology (EPSY 203)
General Teaching Methods (EPSY 201)
General English2 (EN101)
Computer 2 (CS101)
Introduction to the science of Probabilities (ST102)
Arabic language 2 (AR104)
Basics Of Curriculums (EPSY 202)
Mathematical Logic (MM317)
Educational Psychology (EPSY 200)
Arabic language 3 (AR105)
Ordinary Differential Equations 1 (MM202)
Static (MM206)
General Mathematics3 (MM211)
Ordinary Differential Equations 2 (MM311)
Vector analysis (MM214)
Mathematical statistics (ST202)
Set Theory (MM213)
Arabic language 4 (AR106)
Research Methods (EPSY301)
Measurements and Evaluation (EPSY 302)
Methods of teaching mathematics (MM208)
Teaching learning Aids (EPSY 303)
Word processing (CS 202)
Psychological Health (EPSY 401)
School mathematics 1 (MM309)
Complex Analysis 1 (MM305)
Real Analysis 1 (MM303)
Dynamics (MM207)
Abstract Algebra 1 (MM302)
Complex Analysis 2 (MM306)
School mathematics2 (MM310)
Real Analysis 2 (MM304)
Abstract Algebra 2 (MM403)
Numerical Analysis (MM308)
measurement theory (MM410E)
Integral equations (MM409E)
Operations Research (MM408E)
History of Mathematics (MM407E)
Functional Analysis (MM406E)
linear programming (MM405E)
Partial Differential Equations (MM401)
Teaching applications (MM400)
Graduation project (MM404)
Teaching Practice (EPSY 402)