MM215 : Linear Algebra (2)

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MM105

Overview

This course introduces the student to the basic concepts of vector spaces, linear transformations, and deals with the inner multiplication space (definitions, examples, and basic properties). This course aims to develop the student's ability to determine the eigenvalues and eigenvectors of a matrix.

Intended learning outcomes

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

1. Learn about vector space and related concepts , subspace and algebraic properties .

2. Explain linear transformations and their applications .

3. Determines how to relate matrices and linear transformations . _ _ _

4. Explain the various applications of linear algebra.

5. Explain vector space and its related concepts , subspace and algebraic properties .

6. Some theorems prove linear transformations and their applications .

7. Explain how to link between matrices and linear transformations . _ _ _ _ _

8. Infer some different applications of linear algebra.

9. It solves a number of exercises and problems with more than one idea about vector space and its related concepts, subspace and its algebraic properties .

10. Applies exercises and problems on linear transformations and their applications.

11. It gives solutions to new, different, and multiple problems about how to relate matrices and linear transformations.

12. It uses some different applications of linear algebra.

Teaching and learning methods

1. Practical and theoretical lectures

2. Discussion and dialogue

3. Brainstorm

4. Working papers, case study

5. Presentations

6. Videos and e-learning

7. Using 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 (essay + objective) = 25 marks, or its assessment is left to the course instructor

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

3. Written final exam (essay + objective) = 60 marks

Course content:

the week

Scientific subject

The number of hours

A lecture

Exercises

1

Linear Transformations: Algebra of Linear Transformations, Image and Kernel of Linear Transformation,

3

2

1

2

The relationship between space dimensions, zero conversion, and conversion order.

3

2

1

3

operations on linear transformations,

3

2

1

4

Matrix representation of linear transformations.

3

2

1

5

First midterm exam

5-6

basis and linear transformations,

4

3

1

7

Linear transformation space.

3

2

1

8

Inner multiplication space: definition, examples, basic properties.

3

2

1

9

orthogonal vectors,

3

2

1

10

Second midterm exam

10

Standard basis.

1

11

Eigenvalues and eigenvectors

3

2

1

12

for matrix and linear transformation.

3

2

1

13

drip matrix

3

2

1

14

Symmetric matrix distillation and its applications.

3

2

1

15-16

final exam

the total

42

Reference

References address

publisher

Release

Author

where it is located

Fundamentals of Linear Algebra

The new book

2002

Dr. Mabrouk Yunus

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)