MAT1503/101/0/2022
Tutorial letter 101/0/2022
LINEAR ALGEBRA
Your text here 1
MAT1503
Year module
Department of Mathematical Sciences
IMPORTANT INFORMATION:
Please activate your my Unisa and myLife e-mail account and
make sure that you have regular access to the myUnisa module
website MAT1503-22-Y1, as well as your group website.
Note: This is an online module. It is therefore, only available on myUnisa.
university
Define tomorrow. of south africa
, CONTENTS
Page
1 INTRODUCTION ..................................................................................................................3
1.1 Getting started......................................................................................................................3
2 OVERVIEW of MAT1503......................................................................................................3
2.1 Purpose ................................................................................................................................3
2.2 Outcomes .............................................................................................................................4
3 CURRICULUM TRANSFORMATION ..................................................................................4
4 LECTURER(S) AND CONTACT DETAILS ..........................................................................4
4.1 Lecturer(s) ............................................................................................................................4
4.2 Department ..........................................................................................................................5
4.3 University..............................................................................................................................5
5 RESOURCES.......................................................................................................................5
5.1 Joining myUnisa ...................................................................................................................5
5.2 Prescribed book(s) ...............................................................................................................6
5.3 Recommended book(s) ........................................................................................................7
5.4 Electronic reserves (e-reserves) ..........................................................................................7
5.5 Library services and resources ............................................................................................8
6 STUDENT SUPPORT SERVICES .......................................................................................9
6.1 First-Year Experience Programme @ Unisa.........................................................................9
7 HOW TO STUDY ONLINE? ...............................................................................................10
7.1 What does it mean to study fully online?............................................................................10
7.2 myUnisa tools .....................................................................................................................10
8 ASSESSMENT...................................................................................................................11
8.1 Assessment plan ................................................................................................................11
8.2 Year mark and final examination/other options...................................................................13
8.3 The examination .................................................................................................................13
9 CONCLUSION ...................................................................................................................14
ADDENDUM A: Additional Notes and Curriculum Transformation.........................................15
ADDENDUM B: Assignments .....................................................................................................16
2
, MAT1503/101/0/2022
1 INTRODUCTION
Welcome to the MAT1503 module. We trust that you will find it both interesting and rewarding.
This tutorial letter contains important information about the scheme of work, resources and as-
signments for this module as well as exam admission. We urge you to read it carefully before
working through the study material, preparing the assignment(s), preparing for the examination
and addressing questions to your lecturers.
In this tutorial letter, you will find the assignments as well as instructions on the preparation and
submission of the assignments. This tutorial letter also provides all the information you need with
regard to the prescribed study material and other resources. Please study this information carefully
and make sure that you obtain the prescribed material as soon as possible.
You will access all files online, a number of tutorial letters for example, solutions to assignments,
during the year. These tutorial letters will be uploaded on myUnisa, under Additional Resources
and Lessons tools on myUnisa platform. A tutorial letter is our way of communicating with you
about teaching, learning and assessment.
Right from the start we would like to point out that you must read all the tutorial letters you
access from the module site immediately and carefully, as they always contain important and,
sometimes urgent information.
Because this is a fully online module, you will need to use my Unisa to study and complete the
learning activities for this course. Please visit the website for MAT1503 on my Unisa frequently.
The website for your module is MAT1503-21-Y1.
1.1 Getting started
Owing to the nature of this module, you can read about the module and find your study material
online. Go to the website at https://my.unisa.ac.za and log in using your student number and pass-
word. Click on ”myModules” at the top of the web page and then on ”Sites” in the top right corner.
In the new window, click on the grey Star icon next to the modules you want displayed on your
navigation bar. Close the window in the top right corner. Then select the option ”Reload to see
your updated favorite sites”. Now go to your navigation bar and click on the module you want to
open.
We wish you every success with your studies!
2 OVERVIEW of MAT1503
2.1 Purpose
This module will be useful to students interested in developing the basic skills in linear algebra
which can be applied in the natural sciences and social sciences. Students who have completed
3
, this module successfully will have an understanding of the basic ideas of linear algebra and be able
to apply the basic techniques for handling systems of linear equations, matrices, determinants and
vectors.
2.2 Outcomes
The broad outcomes for this module are to:
2.2.1 solve systems of linear equations.
2.2.2 perform basic matrix operations.
2.2.3 evaluate determinants and use them to solve certain systems of linear equations and to find
inverses of invertible matrices.
2.2.4 perform various operations in 2-space, 3-space and n-space and to find equations for lines
and planes in 3-space.
2.2.5 express complex numbers in Polar form, solve polynomial equations of a complex variable.
2.2.6 extract nth roots of any complex number where n ∈ N.
2.2.7 express relationships between trigonometric functions using complex numbers.
3 CURRICULUM TRANSFORMATION
Unisa has implemented a transformation charter based on five pillars and eight dimensions. In re-
sponse to this charter, we have placed curriculum transformation high on the teaching and learning
agenda. Curriculum transformation includes the following pillars: student-centred scholarship, the
pedagogical renewal of teaching and assessment practices, the scholarship of teaching and learn-
ing, and the infusion of African epistemologies and philosophies. These pillars and their principles
will be integrated at both programme and module levels as a phased-in approach. You will notice a
marked change in the teaching and learning strategy implemented by Unisa, together with how the
content is conceptualised in your modules. We encourage you to embrace these changes during
your studies at Unisa in a responsive way within the framework of transformation.
4 LECTURER(S) AND CONTACT DETAILS
4.1 Lecturer(s)
The primary lecturer for this module is:
Dr Ali
Department: Mathematical Sciences
Telephone: 011 670 9163
E-mail:
4
Tutorial letter 101/0/2022
LINEAR ALGEBRA
Your text here 1
MAT1503
Year module
Department of Mathematical Sciences
IMPORTANT INFORMATION:
Please activate your my Unisa and myLife e-mail account and
make sure that you have regular access to the myUnisa module
website MAT1503-22-Y1, as well as your group website.
Note: This is an online module. It is therefore, only available on myUnisa.
university
Define tomorrow. of south africa
, CONTENTS
Page
1 INTRODUCTION ..................................................................................................................3
1.1 Getting started......................................................................................................................3
2 OVERVIEW of MAT1503......................................................................................................3
2.1 Purpose ................................................................................................................................3
2.2 Outcomes .............................................................................................................................4
3 CURRICULUM TRANSFORMATION ..................................................................................4
4 LECTURER(S) AND CONTACT DETAILS ..........................................................................4
4.1 Lecturer(s) ............................................................................................................................4
4.2 Department ..........................................................................................................................5
4.3 University..............................................................................................................................5
5 RESOURCES.......................................................................................................................5
5.1 Joining myUnisa ...................................................................................................................5
5.2 Prescribed book(s) ...............................................................................................................6
5.3 Recommended book(s) ........................................................................................................7
5.4 Electronic reserves (e-reserves) ..........................................................................................7
5.5 Library services and resources ............................................................................................8
6 STUDENT SUPPORT SERVICES .......................................................................................9
6.1 First-Year Experience Programme @ Unisa.........................................................................9
7 HOW TO STUDY ONLINE? ...............................................................................................10
7.1 What does it mean to study fully online?............................................................................10
7.2 myUnisa tools .....................................................................................................................10
8 ASSESSMENT...................................................................................................................11
8.1 Assessment plan ................................................................................................................11
8.2 Year mark and final examination/other options...................................................................13
8.3 The examination .................................................................................................................13
9 CONCLUSION ...................................................................................................................14
ADDENDUM A: Additional Notes and Curriculum Transformation.........................................15
ADDENDUM B: Assignments .....................................................................................................16
2
, MAT1503/101/0/2022
1 INTRODUCTION
Welcome to the MAT1503 module. We trust that you will find it both interesting and rewarding.
This tutorial letter contains important information about the scheme of work, resources and as-
signments for this module as well as exam admission. We urge you to read it carefully before
working through the study material, preparing the assignment(s), preparing for the examination
and addressing questions to your lecturers.
In this tutorial letter, you will find the assignments as well as instructions on the preparation and
submission of the assignments. This tutorial letter also provides all the information you need with
regard to the prescribed study material and other resources. Please study this information carefully
and make sure that you obtain the prescribed material as soon as possible.
You will access all files online, a number of tutorial letters for example, solutions to assignments,
during the year. These tutorial letters will be uploaded on myUnisa, under Additional Resources
and Lessons tools on myUnisa platform. A tutorial letter is our way of communicating with you
about teaching, learning and assessment.
Right from the start we would like to point out that you must read all the tutorial letters you
access from the module site immediately and carefully, as they always contain important and,
sometimes urgent information.
Because this is a fully online module, you will need to use my Unisa to study and complete the
learning activities for this course. Please visit the website for MAT1503 on my Unisa frequently.
The website for your module is MAT1503-21-Y1.
1.1 Getting started
Owing to the nature of this module, you can read about the module and find your study material
online. Go to the website at https://my.unisa.ac.za and log in using your student number and pass-
word. Click on ”myModules” at the top of the web page and then on ”Sites” in the top right corner.
In the new window, click on the grey Star icon next to the modules you want displayed on your
navigation bar. Close the window in the top right corner. Then select the option ”Reload to see
your updated favorite sites”. Now go to your navigation bar and click on the module you want to
open.
We wish you every success with your studies!
2 OVERVIEW of MAT1503
2.1 Purpose
This module will be useful to students interested in developing the basic skills in linear algebra
which can be applied in the natural sciences and social sciences. Students who have completed
3
, this module successfully will have an understanding of the basic ideas of linear algebra and be able
to apply the basic techniques for handling systems of linear equations, matrices, determinants and
vectors.
2.2 Outcomes
The broad outcomes for this module are to:
2.2.1 solve systems of linear equations.
2.2.2 perform basic matrix operations.
2.2.3 evaluate determinants and use them to solve certain systems of linear equations and to find
inverses of invertible matrices.
2.2.4 perform various operations in 2-space, 3-space and n-space and to find equations for lines
and planes in 3-space.
2.2.5 express complex numbers in Polar form, solve polynomial equations of a complex variable.
2.2.6 extract nth roots of any complex number where n ∈ N.
2.2.7 express relationships between trigonometric functions using complex numbers.
3 CURRICULUM TRANSFORMATION
Unisa has implemented a transformation charter based on five pillars and eight dimensions. In re-
sponse to this charter, we have placed curriculum transformation high on the teaching and learning
agenda. Curriculum transformation includes the following pillars: student-centred scholarship, the
pedagogical renewal of teaching and assessment practices, the scholarship of teaching and learn-
ing, and the infusion of African epistemologies and philosophies. These pillars and their principles
will be integrated at both programme and module levels as a phased-in approach. You will notice a
marked change in the teaching and learning strategy implemented by Unisa, together with how the
content is conceptualised in your modules. We encourage you to embrace these changes during
your studies at Unisa in a responsive way within the framework of transformation.
4 LECTURER(S) AND CONTACT DETAILS
4.1 Lecturer(s)
The primary lecturer for this module is:
Dr Ali
Department: Mathematical Sciences
Telephone: 011 670 9163
E-mail:
4
