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FURTHER MATHEMATICS

Duration: 1 HOUR
Lectures: 1

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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: INEQUALITIES IN ONE AND TWO VARIABLES

  • Quadratic Inequality
  • Inequality in Two Variables
  • Other Inequalities in Two Variables
  • Absolute Value Inequalities
  • Exercise

LESSON 2: MATRICES

  • Basic Concepts
  • Addition and Subtraction of Matrices
  • Multiplication of Matrices
  • Transposition and special Matrices
  • Exercise

LESSON 3: DETERMINANTS

  • Determinant of Order Two
  • Third Order Determinants
  • Simultaneous Equations
  • The Adjoint Matrix
  • The inverse of a Square Matrix
  • Matrix method for solving Simultaneous Linear Equations
  • Exercise

LESSON 4: LINEAR TRANSFORMATION

  • Transformations
  • Rotation
  • Reflection
  • Enlargement
  • Stretch
  • Shear
  • Combination of Transformations and Inverse Mapping
  • Exercise

LESSON 5: PARTIAL FRACTIONS

  • Partial and compound Fractions
  • Splitting a Fractions
  • Types of Partial Fractions
  • Non – repeated Linear Factors at the Denominator
  • Other Non-repeated Factors at the Denominators
  • Repeated Factors at the Denominator
  • Improper Fractions
  • Exercise

LESSON 6 & 7: INTEGRATION

  • Anti-derivative
  • Standard Integral Forms
  • The Integral ʃ f ( ax + b)dx
  • The Integral ʃ f ʹ[ (x) / f (x) ]dx
  • Integration by Algebraic Substitution
  • Integration by Trigonometric Substitution
  • Power of Sine and Cosine
  • Integration by Parts
  • Integration by Partial Fraction
  • Exercise

LESSON 8 & 9: APPLICATION OF INTEGRATION

  • The Area Under a Curve
  • Properties of Definite Integral
  • Application of Kinematics
  • Volume of Solid of Revolution
  • Approximate Integration
  • Exercise

Lesson One

1
REVISION
1

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