Computer Mathematics notes

Description

CONTENT

2.1       Data representation and number systems

• Computer codes: BCD, ASCII. EBCDIC
• Bit, byte, nibble, word
• Number systems: Decimal numbers, Binary numbers. ‘Octal numbers. Hexadecimal numbers
• Number conversions

2.2       Binary arithmetic

• Addition, subtraction
• Multiplication, division
• Complements

2 :3      Set theory

• Introduction: definitions and purpose
• Types of sets: Universal set. empty null set, sub-sets, finite, infinite, power sets, partition
• Description of sets; enumeration method and descriptive method
• Operations: Union and intersection, complements, difference
• Duality
• Sets and elements
• Venn diagrams
• Ordered pairs, product sets, relations

2.4       Logic and truth tables

• Introduction
• Conjunction and disjunction
• Negation
• Proportions and truth tables
• Tautology and contradiction
• Logical equivalence

2.5       Elementary matrices

• Introduction to matrices: definitions and importance of matrices
• Matrix addition and subtraction
• Dimensions/order of matrices
• Types of matrices
• Identity matrix
• Matrix operations: addition, subtraction. multiplication, inversion of 2×2 matrices
• Applications of matrices to business problems

2 5       Linear equations

• Linear equations in one unknown
• System of two linear equations in two unknowns

2.7       Elementary statistics

• Sources of data: primaries are and secondary
• Methods of collecting primary data: observation. interviews, questionnaires Sampling methods: probabilistic and non-probabilistic
• Data presentation: frequency tables and histograms
• Measures of central tendency: arithmetic mean, mode, median
• Measures of dispersion: range. mean deviation. standard deviation, variance, coefficient of variation

2.8       Introduction to probability

• Definitions: events, outcome, experiment, sample space
• Types of events: simple, elementary. mutually exclusive, mutually inclusive, dependent and independent
• Laws of probability addition and multiplication
• Basic probability trees
• Finite probability spaces and conditional probability

2.8 Emerging issues and trends