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Lectures: 6

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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
  • 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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