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PRINCIPLES OF MICROECONOMICS (CHAPTER 1 -14) MPME51113, PRMI101
Chapter 1 
1.1. Scarcity, Choice, Opportunity Cost 
• The economic problem arises because the resources that we have available for the production of goods and services are 
limited, while our wants for goods and services are unlimited. 
• Definition of Economics: Economics is the study of how society decides what, how and for whom to produce 
• Wants are human desires for goods and services. Our wants are unlimited. 
• Needs are necessities, those things that are essential for survival,...
- Book
- Summary
- • 39 pages •
Chapter 1 
1.1. Scarcity, Choice, Opportunity Cost 
• The economic problem arises because the resources that we have available for the production of goods and services are 
limited, while our wants for goods and services are unlimited. 
• Definition of Economics: Economics is the study of how society decides what, how and for whom to produce 
• Wants are human desires for goods and services. Our wants are unlimited. 
• Needs are necessities, those things that are essential for survival,...
Principle of microeconomics Chapter 1 to 11 summary (MPME511) MID YEAR EXAM SOL PLAATJE
Introduction to Economics: Study Notes Organized, concise, and visually 
appealing notes for effective learning 
1 What is Economics? 
• Definition: The study of how scarce resources are used to satisfy human wants. 
• Multiple Perspectives: 
– George Leland Bach: Study of how scarce resources satisfy human wants. 
– Michael Parkin: Social science studying choices by individuals, governments, and societies 
under scarcity. 
– Interaction of people with each other and their natural surr...
- Book
- Summary
- • 35 pages •
Introduction to Economics: Study Notes Organized, concise, and visually 
appealing notes for effective learning 
1 What is Economics? 
• Definition: The study of how scarce resources are used to satisfy human wants. 
• Multiple Perspectives: 
– George Leland Bach: Study of how scarce resources satisfy human wants. 
– Michael Parkin: Social science studying choices by individuals, governments, and societies 
under scarcity. 
– Interaction of people with each other and their natural surr...
COMPUTATIONAL MATHS LINEAR PROGRAMMING NOTES SUMMARY
1 Basics 
Linear Programming deals with the problem of optimizing a linear objective function subject to 
linear equality and inequality constraints on the decision variables. Linear programming has many 
practical applications (in transportation, production planning, ...). It is also the building block for 
combinatorial optimization. One aspect of linear programming which is often forgotten is the fact 
that it is also a useful proof technique. In this first chapter, we describe some linear pr...
- Summary
- • 33 pages •
1 Basics 
Linear Programming deals with the problem of optimizing a linear objective function subject to 
linear equality and inequality constraints on the decision variables. Linear programming has many 
practical applications (in transportation, production planning, ...). It is also the building block for 
combinatorial optimization. One aspect of linear programming which is often forgotten is the fact 
that it is also a useful proof technique. In this first chapter, we describe some linear pr...
COMPUTATIONAL MATHEMATICS ( MMEC511 ) ( MCMT511 ) - SOL PLAATJE MATRIX LECTURE NOTES
COMPUTATIONAL MATHEMATICS ( MMEC511 ) ( MCMT511 ) - SOL PLAATJE MATRIX LECTURE 
Definition and representation of matrices 
Matrix operations (addition, subtraction, scalar multiplication) 
Matrix multiplication 
Transpose of a matrix 
Special matrices (identity matrix, zero matrix) 
Inverse of a matrix (if exists) 
Definition and properties of determinants 
Calculation of determinants for 2x2 and 3x3 matrices 
Cofactor expansion 
Conditions for the existence of inverse 
Finding the inverse of a...
- Summary
- • 76 pages •
COMPUTATIONAL MATHEMATICS ( MMEC511 ) ( MCMT511 ) - SOL PLAATJE MATRIX LECTURE 
Definition and representation of matrices 
Matrix operations (addition, subtraction, scalar multiplication) 
Matrix multiplication 
Transpose of a matrix 
Special matrices (identity matrix, zero matrix) 
Inverse of a matrix (if exists) 
Definition and properties of determinants 
Calculation of determinants for 2x2 and 3x3 matrices 
Cofactor expansion 
Conditions for the existence of inverse 
Finding the inverse of a...
Computer Application Technology (CAT) Grade 12 Summary Notes
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the c...
- Book
- Summary
- • 58 pages •
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the c...
Computer Application Technology (CAT) Grade 12 Summary Notes
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the corr...
- Book
- Summary
- • 198 pages •
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the corr...
Computer Application Technology (CAT) Grade 12 Summary Notes
Stuvia CAT theory notes grade 12 pdf 
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental C...
- Book
- Summary
- • 65 pages •
Stuvia CAT theory notes grade 12 pdf 
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental C...
Grade 12 Mathematics differincial calculus notes explained with exam questions
Grade 12 Mathematics differincial calculus explain. 
As challenging differinal calculus is in math's these notes will make your life MUCH MORE easier 
 
The following topics make up each of the TWO exam papers that you write at the end of the year: 
 
Paper 1: Patterns and sequences; Finance, growth and decay; Functions and graphs; Algebra, equations and inequalities; Differential Calculus; and Probability 
 
Paper 2: Euclidean Geometry; Analytical Geometry; Statistics and regression; and Trigon...
- Summary
- • 7 pages •
Grade 12 Mathematics differincial calculus explain. 
As challenging differinal calculus is in math's these notes will make your life MUCH MORE easier 
 
The following topics make up each of the TWO exam papers that you write at the end of the year: 
 
Paper 1: Patterns and sequences; Finance, growth and decay; Functions and graphs; Algebra, equations and inequalities; Differential Calculus; and Probability 
 
Paper 2: Euclidean Geometry; Analytical Geometry; Statistics and regression; and Trigon...
Financial Mathematics notes and examples CAPS Grades 10-12
Financial Mathematics notes and examples CAPS Grades 10-12. 
NO time to revise Financial math's in Pure math's in your matric year, simple use these easy and self help notes to ace that dreading section in your exam. 
 
The following topics make up each of the TWO exam papers that you write at the end of the year: 
 
Paper 1: Patterns and sequences; Finance, growth and decay; Functions and graphs; Algebra, equations and inequalities; Differential Calculus; and Probability 
 
Paper 2: Euclidean G...
- Summary
- • 85 pages •
Financial Mathematics notes and examples CAPS Grades 10-12. 
NO time to revise Financial math's in Pure math's in your matric year, simple use these easy and self help notes to ace that dreading section in your exam. 
 
The following topics make up each of the TWO exam papers that you write at the end of the year: 
 
Paper 1: Patterns and sequences; Finance, growth and decay; Functions and graphs; Algebra, equations and inequalities; Differential Calculus; and Probability 
 
Paper 2: Euclidean G...
Computer Application Technology (CAT) Grade 12 Summary Notes
Computer Application Technology (CAT) Grade 12 Summary Notes
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Computer Application Technology (CAT) Grade 12 Summary Notes
Computer Application Technology (CAT) Grade 12 Summary Notes