This module covers a range of topics from introductory discreet and financial mathematical topics that have a practical relevance to business and computing.
Discrete Mathematics for Computing
Bases and number representation: real numbers and the decimal number system, the binary, octal and hexadecimal number system, conversion to and from each of the above number systems, arithmetic in non-decimal bases.
Computer Representation and Arithmetic: Registers and representing numbers in a computer, representing integers, 2’s complement, representing real numbers, floating point representation, floating point arithmetic.
Underflow, overflow and errors (absolute, relative and relative percent errors).
Logic: Propositions/Statements, connectives (conjunction, disjunction, negation, conditional, only if, and biconditional). Compound statements.
Truth tables, logical equivalence and validity of arguments.
Sets and Relations: Classes, sets, universal set, subsets and supersets.
Operations on sets; union, intersection, complement, difference, symmetric difference and product.
Relations; injection, surjection, bijection and functions.
Financial Arithmetic
The compound interest formula and present values.
Continuous compounding using the exponential function.
Nominal rates of interest, effective rates of interest and APR (Annual Percentage rate).
Loans, annuities and sinking funds, and their payment schedules.
Appreciation and depreciation.
Project evaluation and investment appraisal using discounted cash flow, net present value (NPV),net future value and internal rate of return (IRR).
Lectures/discussion sessions using the Socratic method
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 80 |
| Other Assessment(s) | 20 |