BASIC MATHEMATICS Course Title Basic Mathematics Course Code BMS411S NQF Level 4 Notional Hours 120 hours Lecturing 60 Practical/Tutorial 20 Assessment 10 Self study 30 NQF Credits 12 Prerequisites None Options (compulsory or elective) Institutional Core (may be subsumed by the admission requirements and/or core courses of a programme) Semesters Offered 1/2 Course Aims This semester course is designed to uplift the level of mathematical skills for PoN students. The course is structured in such a way that, in the end, confidence in handling simple mathematical calculations is enhanced. Learning Outcomes/Specific Outcomes Upon completing the course students will, through assessment activities, show evidence of their ability to: demonstrate strengthened mathematical knowledge to cope with daily use of Mathematics; explain basic mathematical concepts and carry out simple calculations; demonstrate basic competencies in the use of basic mathematical skills; apply mathematical concepts to real business and management situations. Course Content 1. Arithmetic Operations Fundamental operations on whole numbers Natural Numbers – Primes and Composites Common Divisors and Multiples (HCD and LCM) Fractions (Vulgar and Decimals) 2. Powers and Roots. Real Numbers Natural-Number Exponents and Roots The Irrational Number and the Real Numbers Integral Exponents Arithmetic nth Root Rational-Number Exponents 3. Basic Algebraic Expressions and operations Addition, Subtraction, Multiplication and Division Symbols of grouping Numeric and Algebraic Expressions Monomials and Polynomials 4. Linear and Quadratic Equations Linear Equations in One Unknown (including fractional coefficients) Applications of Linear Equations in One Unknown 5. Elementary Set Theory Elements of a set Methods of describing a set Set Operations Venn Diagrams and Applications 6. Matrix Algebra (not exceeding 2 x 2) Row and Column Vectors Addition, Subtraction and Multiplication of Vectors Addition, Subtraction and Multiplication of Matrices Determinant of a matrix 7. Basic Financial Mathematics Ratio, Proportions and Percentage Simple Interest and Simple Discount Basic Concepts of Compound Interest Methods of Facilitating Learning The course will be facilitated through lectures, class tutorials, group discussions/assignments as well as take home assignments. Assessment Strategies The assessment for this course will be based on continuous evaluation and an end of semester examination. The continuous evaluation is made up of class tests and/or assignments and contributes 50% to the final assessment. Students have to obtain at least 50% to qualify to write the examination. The end of semester assessment consists of one three-hour paper in which students must obtain a sub-minimum of 40%. The examination mark contributes 50% to the final assessment. Quality Assurance Arrangements Moderation of assessment instruments will be done in accordance with the general rules and guidelines on moderation. Student Support and Learning Resources Prescribed Textbook: David Rayner. Extended Mathematics for IGCSE. Oxford University Press. ISBN 0199147868 Recommended Textbook: L.R Mustoe & M.D.J Barry. (1998). Foundation Mathematics. Chichester: John Wiley & Sons Ltd. ISBN 0-471-970421 Study guide (Used by distance students): Introduction to Mathematics ITM 111S VERSION CONTROL AND CHANGE HISTORY Version Control Date Approved Approved by Amendment 2 13/08/2010 Senate Revised as part of requirements for Institutional Core courses