KASNEB DICT Level 1 notes- Computer Mathematics
we now have complete computer mathematics notes for KASNEB course.
CONTENT COVERED IN COMPUTER MATHEMATICS
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
