MATHEMATICS FOR COMPUTER SCIENCE

UNIT CODE: ICT/CU/CS/CR/03/6/A

Relationship to Occupational Standards

This unit addresses the unit of competency: Understand Mathematics for Computer
Science

Duration of Unit: 140 hours

Unit description

This unit specifies the competencies required to understanding linear algebra,

understanding Boolean algebra, understanding set theory, understanding calculus and
understanding probability and statistics.

Summary of Learning Outcomes

1. Understand Linear Algebra
2. Understand Boolean Algebra
3. Understand Set Theory
4. Understand Calculus
5. Understand Probability and Statistics
Learning Outcomes, Content and Suggested Assessment Methods

Learning Outcome Content Suggested

Assessment Methods
1. Understand Linear  Linear Equations  Practical tests
Algebra   Oral tests
 Definition  Written tests
 Types
 Solving linear equations
 Methods of solving
 Formation
 Vectors
 Definition
 Types
 Vector operations
 Addition
 Subtraction
 Multiplication
 Scalar

©2019, TVET CDACC 44

  Dot product
 Matrices
 Definition
 Types
 Determinant
 Application
 Matrix operations
 Addition
 Scalar multiplication
 Transposition
 Inverse of square matrix
2. Understand Boolean  Boolean algebra  Practical tests
Algebra  Definition of  Oral tests
Boolean algebra  Written tests
 Uses of Boolean
algebra
 Key Terminology
 Boolean value
 Boolean function
 Digital logic
 Basic Boolean operations
 AND
 OR
 NOT
 Secondary operations
 NAND
 NOR
 EX-OR
 EX-NOR
 Writing Boolean
Expressions
 Order of basic
operations
 Symbols
 Simplification of Boolean
expressions
 Using algebraic
functions
 Using Truth tables

©2019, TVET CDACC 45

  Using Karnaugh
Maps
 Boolean Laws and
Theorems
 AND law
 OR law
 Inversion law
 Commutative
 Associative
 Distributive
 De-Morgan’s
Theorems
 Simplification (Reduction)
Rules for Boolean
expressions
3. Understand Set  Sets Theory  Practical tests
Theory  Definition of a Set  Oral tests
 Characteristics of sets  Written tests
 Methods of Set
representation
 Statement form
 Tabular form
 Set builder notation
 Cardinality of a set
 Types of sets
 Finite
 Infinite
 Subset
 Universal
 Proper
 Singleton set
 Venn Diagrams
 Set Operations
 Set Union
 Set Intersection
 Set Difference
 Complement of Set
 Cartesian Product

©2019, TVET CDACC 46

4. Understand Calculus  Functions  Oral
 Definition of  Observation
function  Written
 Domain
 Range
 Linear functions
 Power functions
 Evaluation
 Graphing of functions
 Intercepts
 Limits
 Differential calculus
 Rate of change
 Rules of derivatives
 Optimization
 First and second order
differential equations
 Integral calculus
 Definite
 Indefinite
 Techniques of integration
 By parts
 Reserve chain rule
 u-substitution
5. Understand  Key terminologies in  Practical tests
Probability and probability  Oral tests
Statistics  Samples spaces  Written tests
 events
 sets
 outcomes
 Probability axioms and
counting problems
 Permutations and
combinations
 Conditional probability and
multiplication rule
 Data representation
techniques
 Histogram

©2019, TVET CDACC 47

  Pie charts
 Scatter plot
 Bar graph
 Measures of central
tendency
 Mean
 Mode
 Median
 Measures of spread
 Variance
 Standard deviation
 Measure of Location
 Quartile
 Percentile

Suggested Methods of Instruction

 Presentations by trainer;
 Guided learner activities and research to develop underpinning knowledge;
 Visiting lecturer/trainer from the Mathematics field.
 Industrial visits

Recommended Resources
Tools
 Internet
Equipment
 Calculator
 Computer
Materials and supplies
 Instructional material
 Stationery
Reference materials
Trainer-recommended reference material including text books and web resources

©2019, TVET CDACC 48