All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. 
SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: 
Understand and apply mathematical systems for commercial applications 
SAQA US ID  UNIT STANDARD TITLE  
115453  Understand and apply mathematical systems for commercial applications  
ORIGINATOR  
SGB Building Construction  
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY  
  
FIELD  SUBFIELD  
Field 12  Physical Planning and Construction  Physical Planning, Design and Management  
ABET BAND  UNIT STANDARD TYPE  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
Undefined  Regular  Level 6  Level TBA: Pre2009 was L6  18 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Passed the End Date  Status was "Registered" 
20040811  20070811  SAQA 1055/04  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20080811  20110811 
In all of the tables in this document, both the pre2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre2009 levels unless specifically stated otherwise. 
This unit standard does not replace any other unit standard and is not replaced by any other unit standard. 
PURPOSE OF THE UNIT STANDARD 
A person credited with this unit standard will be able to understand and apply mathematical systems such as linear algebra, linear programming, differential calculus and integral calculus. The learner will also be able to perform financial calculations.These learning outcomes form part of the Fundamental learning of the Bachelors Degree in Construction Management.
This unit standard will contribute to the full development of a professional community of Construction Managers. The skills, knowledge and understanding demonstrated within this unit standard are essential for social and economic transformation and upliftment within the construction environment. 
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The following knowledge, skills attitude and / or equivalent:

UNIT STANDARD RANGE 
The typical scope of this unit standard:
Linear Algebra includes: Linear programming includes: Mathematics of Finance includes: Differential Calculus includes: Integral Calculus includes: 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Understand and apply linear algebra. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Systems of linear equations are applied and solved 
ASSESSMENT CRITERION 2 
Matrix algebra is understood and matrices are solved 
ASSESSMENT CRITERION 3 
Matrix operations including Gaussian reduction are undertaken 
ASSESSMENT CRITERION 4 
Inverse matrices are calculated 
SPECIFIC OUTCOME 2 
Understand and apply linear programming. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The geometry of linear programming is understood 
ASSESSMENT CRITERION 2 
Applications of linear programming are undertaken 
ASSESSMENT CRITERION 3 
Matrices are utilised to solve linear programming problems 
ASSESSMENT CRITERION 4 
The "simplex method" is utilised to solve linear programming problems 
SPECIFIC OUTCOME 3 
Understand and perform financial calculations. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Simple interest is understood and calculated 
ASSESSMENT CRITERION 2 
Discount is calculated 
ASSESSMENT CRITERION 3 
Compound interest is understood and calculated 
ASSESSMENT CRITERION 4 
Annuities and sinking funds are understood and calculated 
ASSESSMENT CRITERION 5 
Amortization is understood and calculated 
SPECIFIC OUTCOME 4 
Understand and apply differential calculus. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Variables and functions are understood 
ASSESSMENT CRITERION 2 
Rate of change is understood 
ASSESSMENT CRITERION 3 
The limits and continuity of functions are calculated 
ASSESSMENT CRITERION 4 
The derivative is calculated 
ASSESSMENT CRITERION 5 
Differentiation of algebraic functions is performed 
ASSESSMENT CRITERION 6 
Maximum and minimum values are calculated and curve sketching is undertaken 
ASSESSMENT CRITERION 7 
Applied problems in maxima and minima are undertaken (optimisation) 
ASSESSMENT CRITERION 8 
Differentiation of trigonometric, inverse trigonometric, exponential and logarithmic functions are undertaken 
ASSESSMENT CRITERION 9 
Differential calculus is applied to commercial problems 
SPECIFIC OUTCOME 5 
Understand and apply integral calculus. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Fundamental integration formulas are understood 
ASSESSMENT CRITERION 2 
Integration by parts and integration by substitution is undertaken 
ASSESSMENT CRITERION 3 
Trigonometric integrals and substitutions are undertaken 
ASSESSMENT CRITERION 4 
Integration by partial fractions is undertaken 
ASSESSMENT CRITERION 5 
Plane areas by integration are undertaken 
ASSESSMENT CRITERION 6 
Volumes of solids of revolution are calculated 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
UNIT STANDARD DEVELOPMENTAL OUTCOME 
N/A 
UNIT STANDARD LINKAGES 
N/A 
Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Identify and solve problems
Specific outcome: Assessment criteria: 
UNIT STANDARD CCFO WORKING 
Work effectively with others
Specific outcome: Understand and perform financial calculations Assessment criteria: 
UNIT STANDARD CCFO ORGANISING 
Employ self management
Specific outcome: Assessment criteria: 
UNIT STANDARD CCFO COLLECTING 
Manage information
Specific outcome: Assessment criteria: 
UNIT STANDARD CCFO COMMUNICATING 
Communicate effectively
Specific outcome: ·Understand and apply linear algebra Assessment criteria: 
UNIT STANDARD CCFO SCIENCE 
Demonstrate scientific and technological competence
Specific outcome: Assessment criteria: 
UNIT STANDARD CCFO DEMONSTRATING 
Understand Contextual worldsystems
Specific outcome: Assessment criteria: 
UNIT STANDARD ASSESSOR CRITERIA 
N/A 
UNIT STANDARD NOTES 
N/A 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Core  63689  Bachelor of Arts: Geographical Information Science  Level 6  Level TBA: Pre2009 was L6  Passed the End Date  Status was "Reregistered" 
20180630  
Fundamental  48700  Bachelor of Construction Management: Built Environment  Level 6  Level TBA: Pre2009 was L6  Passed the End Date  Status was "Reregistered" 
20120630  CHE 
PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD: 
This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here. 
NONE 
All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. 