Category:

# FURTHER MATHEMATICS

Enrolled: 4 students
Lectures: 6

#### Working hours

 Monday 9:30 am - 6.00 pm Tuesday 9:30 am - 6.00 pm Wednesday 9:30 am - 6.00 pm Thursday 9:30 am - 6.00 pm Friday 9:30 am - 5.00 pm Saturday Closed Sunday Closed

LESSON 1: SETS THEORY

• Definition, terms associated with sets e.g. finite sets, infinite sets, universal sets, subsets and super sets, equality sets, null sets, unit sets.
• Intersection of sets, union of sets, compliment of sets
• Exercise

LESSON 2: SETS THEORY 2

• Venn diagrams
• Disjoint sets and power sets.
• Algebra of sets, De-Morgan’s law of sets algebra
• Exercise

LESSON 3: BINARY OPERATIONS

• Definition and introduction of basic terms
• Rules of combination
• Properties of binary operation
• Closure
• Commutative
• Associative
• Distributive
• Operation of binary as a rule of association
• The identity and an inverse elements of an operation
• Exercise

LESSON 4: INDICES AND LOGARITHM

• Notations
• Laws of indices
• Proves of laws and other related theorem.
• Indicial equations
• Simple equation
• Graphs of indices or indicial graphs
• Exercise

LESSON 5: LOGARITHMS

• Definition and basic ideas
• Relationship with indices
• Laws of logarithms and related proves of the laws and theorems
• Equation involving logarithms
• Introduction of logarithms to indicial equations. Natural logarithms
• Exercise

LESSON 6: INEQUALITIES

• Notation
• Basic rules of inequalities
• Linear inequalities in one variable
• Quadratic inequalities in one variable
• Absolute values
• Inequalities in two variables
• Exercise

LESSON 7: SURDS

• Definition of surds
• Examples of surds
• Basic forms of surds
• Similar surds
• Conjugation of surds.
• Rationalization of surds
• Equality of surds
• Other ideals involving surds.
• Exercise

1
REVISION

1
SETS
2
ASSIGNMENT

1
BINARY OPERATION
2
BO 1

1
INEQUALITIES
2
INEQUALITIES

### LESSON SEVEN AND EIGHT

1
VARIATION PROCESS
2
VP 1
3
VP 2

1
SURDS
2
SURDS 1
3
SURDS 2