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
- Quadratic equation etc.
- 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
- Radical equations
- Other ideals involving surds.
- Exercise
LESSON ONE
1
REVISION
LESSON TWO AND THREE
1
SETS
2
ASSIGNMENT
LESSON FOUR
1
BINARY OPERATION
2
BO 1
LESSON FIVE
1
INEQUALITIES
2
INEQUALITIES
LESSON SEVEN AND EIGHT
1
VARIATION PROCESS
2
VP 1
3
VP 2
LESSON NINE AND TEN
1
SURDS
2
SURDS 1
3
SURDS 2
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